SMITHSONIAN MISCELLANEOUS COLLECTIONSVOLUME 118 (WHOLE VOLUME)
3Resiearcl) Corporation JfunbSMITHSONIANLOGARITHMIC TABLESTO BASE e AND BASE 10
Prepared byGEORGE WELLINGTON SPENCELEY, RHEBA MURRAY SPENCELEY,ANDEUGENE RHODES EPPERSONMiami University, Oxford, Ohio
(Publication 4054)
CITY OF WASHINGTONPUBLISHED BY THE SMITHSONIAN INSTITUTION1952
Z^t £or5 Q^afttmore (preeerBALTWOBB, HD., U. B. A.
PREFACEThe tables here presented represent an adaptation of Hoiiel's factor-izing method of computing logarithms. We became acquainted withHoiiel's basic idea about 30 years ago, when we saw it explained and ex-emplified in Dr. E. R. Hedrick's "Logarithmic and Trigonometric Tables."Fifteen years later we were using our own 20-place Hoiiel table of naturallogarithms to compute the so-called "q's" used in preparing our "Smith-sonian Elliptic Functions Tables" (published in 1947). At that time weconceived the idea embodied in the present tables and were so convincedof its possibilities that we carried out much of the early work in thissecondary project simultaneously with the computation of the elliptictables.Originally we planned a table of natural logarithms only (i.e.. to base e),but several years later it was decided to include common logarithms(i.e., to base 10). This doubled our work and necessitated some revi-sion of computations already finished. We feel that the completed designjustifies the extra work and added expense.While the tables were in preparation Miami University assigned fourstudents to help in the work and paid them for their efforts—Paul Chifos,Eugene Epperson, Steve Pizanis, and Russell Treon. The loyal, pains-taking, and efficient work of these young men was a continuing inspirationto us, and all out of proportion to the remuneration they received. In fact,Mr. Epperson's work was so extraordinarily helpful that we have placedhis name with ours on the title page.Toward the end of our task we sent photostatic copies of several pagesof the manuscript to Dr. A. J. Thompson, computer and well-knowneditor of "Logarithmetica Britannica," for his expert appraisal, not for-getting to remind him that he himself had anticipated our idea by severalyears. His friendly and commendatory letter, including many suggestedimprovements, was a valuable aid and probably the deciding factor in thedifficult task of promoting the publication of the tables.We are deeply indebted to the Research Corporation of New Yorkfor the generous grant of funds to the Smithsonian Institution that madepossible the publication of this book and also to Dr. Alexander Wetmore,Secretary of the Smithsonian, through whose interest and efforts the publi-cation of the tables was undertaken by the Institution. Not only was Dr.Wetmore chiefly responsible for negotiating the financing of the publica-tion, but he and his editorial staff have been most helpful in seeing thevolume through the press. G. W. S.R. M. S.Oxford, Ohio,June 24, 1951.

CONTENTS PagePreface, by G. W. and R. M. Spenceley iiiIntroduction, by E. R. Epperson viiLogarithms of powers of 10 xiiTable 1 : Natural logarithms (to base e) 1Table 2 : Common logarithms (to base 10) 203

INTRODUCTION
"To those who are continually using interpolation methods, the use offactorizing methods with which they are unfamiliar may at first attempt appearmore lengthy. Such workers will find, however, that this is not so ; and thatafter becoming familiar with them, they are at least as short for finding loga-rithms, and distinctly shorter for finding antilogarithms." That is what A. J.Thompson had to say in the introduction to part viii of his "LogarithmeticaBritannica" about the factorizing method for finding logarithms and antiloga-rithms. The present volume is devoted exclusively to the factorizing methodand is composed of two parts, as follows
:
Table 1 : 23-decimal-place values of the natural logarithms of XXXX,l.O^XXXX, and 1.0'XXXX, the range of XXXX being from1 to 10,000.Table 2 : 23-decimal-pIace values of the common logarithms of XXXX,l.O^XXXX, and l.O^XXXX, the range of XXXX being from1 to 10,000.These tables should be a welcome addition to the existing tables of loga-rithms.The optimui number of significant figures has been chosen for the rangeof the argument. Five significant figures would increase the number of tabularvalues from the existing 60,000, for both tables, to 600,000. Thus two rela-tively large volumes would be required. Further the number of decimal placesof the logarithm has been extended to 23. This number is the natural pointof departure permitting the computation ab initio of the logarithm of thefourth factor l.O^^XXXX . . . with ease; for the second term of the series/n(l +x) —x— x-/2-\- . . . will affect at most the twenty-third decimal place.The need for a fourth column is therefore eliminated.The computation of the logarithms, to the base e, of the integers was per-formed with the aid of Wolfram's table, which contains the natural logarithmsof the first 2,200 integers and of primes and certain composite numbers upto 10,009 to 48 decimal places. The table actually used was the one given in
"Thesaurus Logarithmorum Completus" (1794) by George Vega. A completelist of known errors in this table was supplied by Prof. Raymond Clare Archi-bald, of Brown University, along with an invaluable suggestion. The tabularvalues for the second and third columns were obtained with the aid of the seriesln(l+:K) =x— x-/2 + x^/3— . . . , and calculated to 28 decimal places. Allthe tabular values for the logarithms, to the base 10, were obtained by multi-plying the tabular values in the table of logarithms, to the base e, by themodulus 0.43429 . . . , to 28 decimal places. These values were rounded to23 decimal places. Both tables were tested by applying differencing tests.Throughout the duration of this project hand-operated, calculating machineswith 10 columns of 10 keys were used for the computing and checking of thetables.
In both tables of this volume, the error in the twenty-third place does notexceed 0.5. The maximum error, therefore, which can occur in a resultobtained by adding together three logarithms from the table and the com-puted logarithm of the fourth factor will be less than 4(0.5), i.e. less than twounits in the twenty-third place.DIRECT FACTORIZATIONWhen the natural logarithm of a number of more than four significant digitsis desired, the number must be broken up into factors, the first of which con-sists of the number formed by the first four digits. The others are the threenumbers l.O^XXXX, 1.0'XXXX, and l.O^^XXXX . . . formed from thefirst 8, 12, and 23 digits, respectively, of the quotient that results when thedivision is performed with the preceding factor as divisor and commencingwith the first four digits. The logarithms of the first three factors are takenfrom the first, second, and third columns, respectively, of table 1. The loga-rithm of the last factor, 1.0"XXXX . . . , is the decimal O.O^^XXXX . . . ,to 23 places, minus a correction factor that may be obtained by a simplemental calculation. The sum of these logarithms is the desired logarithm.It is assumed, in the example that follows, that the computer has access toa calculating machine.Example : To find btir, given the valueTT= 3. 141 59,26535,89793,23846,264Solution
:
7r= 3.141 59,26535,89793,23846,264= 3.141 X 1.0n8,86830,91306,34780,72588= 3.141 X 1.on 886 X 1.0^830,75638,28242,71930= 3.141 X 1.0n886x 1.0^8307 X 1.01^5638,28195,88209= 3141 X 1.0^886 X 1.0^8307 X 1.0^5638,28195,88209 X 10-3The above are the factors of ir identical, respectively, withXXXXxl.O^XXXXxl.O^XXXXxl.Oi^XXXX . . .In practice it is obviously not necessary to record all the data given above.The /« of the first three factors may be obtained from the three columns oftable 1. The /«( 1.01^5638,28195,88209) =0.0i^S638,28195,88209-0.0--157=0.0i'5638,28195,881, from the series /M(l+.r)=.v-,r72+ . . . in which onlythe first two terms are significant. From table 1 :In 3141 =8.05229,64995,38646,54598,997In 1.0^886= 18,85822,17255,84856,087In 1.0^8307= 830,69996,54968,774In 1.0115638....= 5638,28195,8818.05248,5 1648,3 1 537,22619,739(minus) In 10^ =6.90775,52789,82137,05205,397Therefore, In n = 1.14472,98858,49400,17414,342in which there is an error of one unit in the twenty-third decimal place.
Instead of commencing with 3141 as the first factor, 3140 or 3139 couldhave been used. In general, any number may be used as the first factor pro-vided the first eight digits of the resulting quotient fall within the intervalof the argument for the second column of the table. When checking the resultobtained from one series of values, there is a definite advantage in employingan entirely dififerent series. This provides for checking the work of the com-puter and the accuracy of these tables.In finding the common logarithm of a number, the procedure is much thesame as that for finding the natural logarithm. Table 2, containing the com-mon logarithms, will be used. The characteristic of the common logarithm isobtained in the customary manner employed when tables involving interpola-tion methods are utilized. The only significant difference is found in the com-puted value of the logarithm of the fourth factor.To emphasize the modification required when obtaining a common logarithm,the following example will illustrate the method in finding the log of tt. Thefour factors are the same, and the logarithms of the first three factors arefound in the first, second, and third columns, respectively, of table 2. In theprevious example the In of the fourth factor was found to be 0.0^^5638,28195,88052. This result must be multiplied by the modulus, 0.43429 . . . , andtheir product rounded to 23 decimal places. Hence
:
log 1.0^5638,28195,88209= (0.0^^5638,28195,88209-0.0-157)(0.43429,44819,03251,82765,11829) =0.0^^2448,67474,212.Therefore, the log of tt follows
:
log 3.141 =0.49706,79363,98504,77113,023log 1.0n886= 8,19002,16339,29522,736log 1.0^8307= 360,76841,11325,155log 1.0^^5638...= 2448,67474,212Thus the log TT =0.49714,98726,94133,85435,126in which there is an error of one unit in the twenty-third decimal place.INVERSE FACTORIZATIONAn antilogarithm is found by reversing the process. From the logarithmproposed, the natural logarithms of the numbers XXXX, l.O^XXXX, etc.,are subtracted in succession. The product of these numbers gives the numbersought.In most cases the value of In N should first be brought into that part ofthe table where N lies between 1.000 and 10,000. This may be accomplishedby adding or subtracting a multiple of In 10 which only affects the positionof the decimal point in the value of N. The proper multiple of /;/ 10 to beadded or subtracted may be readily determined if the computer knows onlythe approximate value for the In 10= 2.3, In 10- = 4.6, In 10^ = 6.9, In 10*= 9.2,etc.In the example that follows it is again assumed that the computer hasaccess to a calculating machine.
Example : To find tt^, givenIn 7r= 1.14472,98858,49400,17414,34273Solution
:
In TT^ = 2.28945,97716,98800,34828,685In 10^ = 6.90775,52789,82137,05205,397 (plus)9. 19721 ,50506,80937,40034,082In"^ 9.19715,38101.72007,17851,824 = 98696,12405,08930,22182,258In-i 6, 1 1981 ,27356,40346,909= 1 .0^0612423,81573,81835,349In-i 423,79999,10196,783= 1.0'4238In-^ 0. 0^ , 0' ,01574,71638,566=1.0^4574 . . . ,the fourth factor of the desired number. Since 0.0^U574 ... is the In of anumber of the form /n(lH-jr), we have from the equivalent series:x-xV2= 0.0in574,71638,566x=0.0in574,71638,566+ A-V2= 0.0^4574,71638,566+0.0-423x= 0.0^4 574,71638,566Hence /n-i(0.0"1574,71638,566) = 1.0"1574,71638,566. Thus 7r-=(9869)(1.0^0612) (1.0H238) (1.0^4574,71638,566) (10-«) =9.86960,44010,893 58,-61883,44 in which there is an error of one unit in the last decimal place.Instead of commencing by deducting In 9869 it would be just as con-venient to deduct In 9868 or any logarithm down to In 9860, and then proceed,as before, to the use of table 1. In general any number whose logarithm,when subtracted from the given logarithm, results in a remainder that fallswithin the tabular values found in the second column of table 1 may be used.In finding an antilogarithm when the common logarithm of a number isgiven, the procedure is much the same as that when the natural logarithm isgiven. When selecting the initial log nearest the value of the given log, it isadvisable to select the log found between the tabular values for the numbers1,000 to 10,000.The only significant difference when working with the common logarithmsof table 2 is found in the computed value of the log of the fourth factor,l.O^^XXXX. . . . The following example will readily explain the procedureto follow
:
Example : To find e, givenlog 6= 0.43429,44819,03251,82765,1 13log-^ 0.43408,96384,17890,77149,304=2.717
' 20,48434,85361,05615.809log-^ 20,48084,06847,61790,274= 1.0H717350,78513,43825,535log-i 350,77963,88670,210= 1.0^8077log-' 0.0^ , 0" ,00549,55 155,325 may be found by the same
method applicable to natural logarithms if the above log is first divided by themodulus, 0.43429,44819,03251, from the formula In N=(\/p) log N wherep= 0A3429, .... This gives a result of 0.0^M265,38921,434517 which is theIn l.O^^XXXX . . . , the fourth factor. Comparison with the procedure usedin the example for natural logarithms verifies that the value for In l.O^^XXXX
, . .= 1.0"1265,38921,435 + 0.0-*8= 1.0^4265,38921,435. Therefore e= (2.717)(1.0H717) (1.0^8077) (1.0"1265,38921,435) =2.71828,18284,59045,23536,03.This result is correct for 23 significant digits.It is interesting to note that the tabular value nearest the given log is thelog 2718 rather than 2717. Furthermore, the log 2716 could also be used andthe series derived from use of this tabular value could serve as a check on theprevious work, E. R. Epperson.Miami University,Oxford, Ohio,June 24, 1951.
LOGARITHMS OF POWERS OF 10In 10 = 2.30258,50929,94045,68401,799In 10^ = 4.60517,01859,88091,36803,598In 10^ = 6.90775,52789,82137,05205,397In 10^ = 9.21034,03719,76182,73607,197In 10^ =11.51292,54649,70228,42008,996In 10« =13.81551,05579,64274,10410,795In 10^ =16.11809,56509,58319,78812,594In 10« = 18.42068,07439,52365,47214,393In 10« =20.72326,58369,46411,15616,192In 10^°= 23.02585,09299,40456,84017,991log e = 0.43429.44819.03251,82765,113
TABLE 1 .-LOGARITHMIC TABLESTO THE BASE e

LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx
101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150
In XXXX
4.61512 05168 41259 45088 4204.62497 28132 84271 08106 2014.63472 89882 29635 77076 8604.64439 08991 41372 66430 5184.65396 03501 57523 37110 1364.66343 90941 12067 14356 1704.67282 88344 61906 17330 4404.68213 12271 24219 69302 0204.69134 78822 29143 70037 7324.70048 03657 92416 22807 9944.70953 02013 12334 13576 3344.71849 88712 95094 54277 4284.72738 78187 12340 56858 2134.73619 84483 94495 46082 1504.74493 21283 63250 06540 7514.75359 01911 06364 64601 7744.76217 39347 97756 11884 3984.77068 46244 65664 76003 3284.77912 34931 11529 38535 4894.78749 17427 82045 99424 7704.79579 05455 96741 08812 3894.80402 10447 33256 55816 8624.81218 43553 72417 49526 2014.82028 15656 05036 86476 3634.82831 37373 02301 12380 2284.83628 19069 51477 99731 3084.84418 70864 58591 27304 7444.85203 02639 19617 16592 0624.85981 24043 61672 11486 8094.86753 44504 55582 42007 1484.87519 73232 01151 54414 9424.88280 19225 86370 85429 1654.89034 91282 21753 76511 4384.89783 97999 50911 36908 7304.90527 47784 38429 44878 6504.91265 48857 36052 00850 1234.91998 09258 28124 91531 5194.92725 36851 57204 69161 9234.93447 39331 30691 75718 8784.94164 24226 09304 29854 0584.94875 98903 78168 27821 6204.95582 70576 01260 73074 6694.96284 46302 59907 28011 5434.96981 32995 76000 62045 9424.97673 37424 20574 40178 4034.98360 66217 08336 43850 9344.99043 25867 78736 30160 5954.99721 22737 64115 06320 2565.00394 63059 45459 14099 2435.01063 52940 96255 75001 400
In l.O^XXXX
.0^01 00999 48995 34343 10701999 47980 35373 32902999 46955 36423 95203999 45920 37495 17404999 44875 38^87 19605999 43820 39700 21806999 42755 40834 43907999 41680 41990 06008999 40595 43167 28009999 39500 44366 301
.0^01 10999 38395 45587 32011999 37280 46830 54012999 36155 48096 15913999 35020 49384 37814999 33875 50695 39615999 32720 52029 41416999 31555 53386 63217999 30380 54767 24918999 29195 56171 46519999 28000 57599 482
.0^01 20999 26795 59051 49721999 25580 60527 71322999 24355 62028 32823999 23120 63553 54224999 21875 65103 55625999 20620 66678 57026999 19355 68278 78327999 18080 69904 39628999 16795 71555 60829999 15500 73232 619
.0^01 30999 14195 74935 63031999 12880 76664 84132999 11555 78420 45133999 10220 80202 66134999 08875 82011 67035999 07520 83847 67836999 06155 85710 88637999 04780 87601 49338999 03395 89519 70039999 02000 91465 706
.0^01 40999 00595 93439 71241998 99180 95441 91742998 97755 97472 52143998 96320 99531 72544998 94876 01619 72845998 93421 03736 73146998 91956 05882 93347998 90481 08058 53448998 88996 10263 73449998 87501 12498 734
In 1.0^ XXXX
0*^010 09999 99948 99519999 99947 98029999 99946 95539999 99945 92049999 99944 87559999 99943 82069999 99942 75579999 99941 68089999 99940 59599999 99939 5000*^011 09999 99938 39519999 99937 28029999 99936 15539999 99935 02049999 99933 87559999 99932 72069999 99931 55579999 99930 38089999 99929 19599999 99928 000
.0^012 09999 99926 79519999 99925 58029999 99924 35539999 99923 12049999 99921 87559999 99920 62069999 99919 35579999 99918 08089999 99916 79599999 99915 500
.o''013 09999 99914 19519999 99912 88029999 99911 55539999 99910 22049999 99908 87559999 99907 52069999 99906 15579999 99904 78089999 99903 39599999 99902 000
.0^014 09999 99900 59519999 99899 18029999 99897 75539999 99896 32049999 99894 87549999 99893 42069999 99891 95579999 99890 48089999 99888 99599999 99887 500
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e
XXXX
201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240
m XXXX
5.30330 49080 59075 75106 5325.30826 76974 01204 76030 1435.31320 59790 41787 33228 8625.31811 99938 44216 39047 9245.32300 99791 38408 17846 7525.32787 61687 89581 08018 5835.33271 87932 65369 07359 7245.33753 80797 01317 97372 2425.34233 42519 64811 00407 0975.34710 75307 17468 68051 8595.35185 81334 76066 49574 1965.35658 62746 72012 45297 8935.36129 21657 09425 11272 4705.36597 60150 21851 48272 1635.37063 80281 27662 79807 3605.37527 84076 84165 00243 7435.37989 73535 40459 55103 4525.38449 50627 89089 00979 4555.38907 17298 16500 82048 7355.39362 75463 52361 53749 7175.39816 27015 17752 81630 3025.40267 73818 72279 44518 0575.40717 17714 60118 75863 6115.41164 60518 55039 85219 1515.41610 04022 04420 13199 2015.42053 49992 72285 87799 9365.42495 00174 81402 67501 3385.42934 56289 54440 77023 8745.43372 20035 54239 64844 1245.43807 93089 23195 37482 4745.44241 77105 21793 54056 2545.44673 73716 66309 95543 4975.45103 84535 65700 56530 2225.45532 11153 57701 42826 1215.45958 55141 44158 96142 1715.46383 18050 25610 06945 0515.46806 01411 35131 18556 8195.47227 06736 71474 69477 2125.47646 35519 31510 66696 3165.48063 89233 41991 30366 493
m i.o'xxxx In 1.0^ XXXX
241 5.48479 69334 90654 99546 641242243244245246247248249250
5.48893 77261 56686 39754 1125.49306 14433 40548 45697 6235.49716 82252 93201 86758 5855.50125 82105 44726 98481 1475.50533 15359 32362 80467 9245.50938 83366 27977 19606 2515.51342 87461 64982 17418 0865.51745 28964 64707 61487 0725.52146 09178 62246 43321 951
,0^02 00997 97997 70682 61901997 95982 74742 77102997 93957 78843 32103997 91922 82984 47004997 89877 87166 41805997 87822 91389 36506997 85757 95653 51007997 33682 99959 05408997 81598 04306 19709997 79503 08695 138
.0^02 10997 77398 13126 07811997 75283 17599 21712997 73158 22114 75413997 71023 26672 89014997 68878 31273 82515997 66723 35917 75816997 64558 40604 89017997 62383 45335 42018997 60198 50109 54919997 58003 54927 477
.0^02 20997 55798 59789 40321997 53583 64695 52822997 51358 69646 05123997 49123 74641 17324997 46878 79681 09325997 44623 84766 01226997 42358 89896 12927997 40083 95071 64428997 37799 00292 75829997 35504 05559 671
.0^02 30997 33199 10872 58231997 30884 16231 69132997 28559 21637 19933997 26224 27089 30534997 23879 32588 20935997 21524 38134 11236997 19159 43727 21337997 16784 49367 71238997 14399 55055 81039997 12004 60791 706
.0^02 40997 09599 66575 60041997 07184 72407 69242997 04759 78288 18343997 02324 84217 27244996 99879 90195 15945996 97424 96222 04546996 94960 02298 12847996 92485 08423 61048996 90000 14598 69049996 87505 20823 568
. 0'020 09999 99797 99519999 99795 98029999 99793 95539999 99791 92049999 99789 87559999 99787 82069999 99735 75579999 99783 68089999 99781 59599999 99779 5000^021 09999 99777 39519999 99775 28029999 99773 15539999 99771 02049999 99768 87559999 99766 72069999 99764 55579999 99762 38089999 99760 19599999 99758 000
.0''022 09999 99755 79519999 99753 58029999 99751 35539999 99749 12049999 99746 87559999 99744 62069999 99742 35579999 99740 08089999 99737 79599999 99735 500
.0''023 09999 99733 19519999 99730 88029999 99728 55539999 99726 22049999 99723 87559999 99721 52069999 99719 15579999 99716 78089999 99714 39599999 99712 000
.0''024 09999 99709 59519999 99707 18029999 99704 75539999 99702 32049999 99699 87559999 99697 42069999 99694 95579999 99692 48089999 99689 99599999 99687 500
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e
XXXX301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350
In XXXX5.70711 02647 48875 72857 8205.71042 70173 74869 63821 3475.71373 28055 09369 14227 9445.71702 77014 06221 69767 7965.72031 17766 07411 62335 2155.72358 51019 52380 77245 7265.72684 77475 87197 15359 8465.73009 97829 73574 46800 1765.73334 12768 97745 46216 3855.73657 22974 79191 92994 7165.73979 29121 79234 13419 6005.74300 31878 09482 35570 0435.74620 31905 40153 21667 8775.74939 29859 08253 36684 1685.75257 26388 25633 06249 6605.75574 22135 86912 11300 7415.75890 17738 77280 61419 9765.76205 13827 80176 83495 6955.76519 11027 84844 57124 5225.76832 09957 93772 23110 4155.77144 11231 30015 86469 9645.77455 15455 44408 30532 9345.77765 23232 22656 54025 8565.78074 35157 92329 38441 5455.78382 51823 29737 48525 5015.78689 73813 66707 64348 2165.78996 01708 97253 39177 2565.79301 36083 84143 73211 8465.79605 77507 65371 89192 6305.79909 26544 60525 91947 5185.80211 83753 77062 90078 4625.80513 49689 16488 54230 9945.80814 24899 80443 82715 8595.81114 09929 76700 41667 6985.81413 05318 25066 43427 0835.81711 11599 63204 23416 9535.82008 29303 52361 72450 4875.82304 58954 83018 78152 4215.82600 01073 80450 25997 7385.82894 56176 10207 07368 4765.83188 24772 83516 78999 1115.83481 07370 62605 15221 6755.83773 04471 65939 91531 6065.84064 16573 73398 35172 4545.84354 44170 31359 75680 2765.84643 87750 57724 25635 0735.84932 47799 46859 19235 3685.85220 24797 74474 33741 2985.85507 19222 02427 16319 9485.85793 31544 83459 36372 410
m l.O^XXXX
.0^03 00995 47004 09009 51201995 43989 18099 47202995 40964 27249 82803995 37929 36460 78204995 34884 45732 53305995 31829 55065 28106995 28764 64459 22707995 25689 73914 56908995 22604 83431 50909995 19509 93010 246
.0^03 10995 16405 02650 98011995 13290 12353 91112995 10165 22119 23913995 07030 31947 16414995 03885 41837 88715995 00730 51791 60616994 97565 61808 52217994 94390 71888 83518994 91205 82032 74619994 88010 92240 453
.0^03 20994 84806 02512 15721994 81591 12848 05822994 78366 23248 35623994 75131 33713 25124994 71886 44242 94225994 68631 54837 63126994 65366 65497 51627994 62091 76222 79828994 58806 87013 67729994 55511 97870 353
.0^03 30994 52207 08793 02531994 48892 19781 89432994 45567 30837 16033994 42232 41959 02234994 38887 53147 68135994 35532 64403 33736994 32167 75726 18937994 28792 87116 43838994 25407 98574 28439994 22013 10099 926
.0^03 40994 18608 21693 56441994 15193 33355 39942994 11768 45085 63143994 08333 56884 45944994 04888 68752 08445994 01433 80688 70546993 97968 92694 52247993 94494 04769 73648993 91009 16914 54649993 87514 29129 152
in 1.0'XXXX0^030 09999 99546 99519999 99543 98029999 99540 95539999 99537 92049999 99534 87559999 99531 82069999 99528 75579999 99525 68089999 99522 59599999 99519 5000'031 09999 99516 39519999 99513 28029999 99510 15539999 99507 02049999 99503 87559999 99500 72069999 99497 55579999 99494 38089999 99491 19599999 99488 0000''032 09999 99484 79519999 99481 58029999 99478 35539999 99475 12049999 99471 87559999 99468 62069999 99465 35579999 99462 08089999 99458 79599999 99455 5000''033 09999 99452 19519999 99448 88029999 99445 55539999 99442 22049999 99438 87559999 99435 52069999 99432 15579999 99428 78089999 99425 39599999 99422 0000''034 09999 99418 59519999 99415 18029999 99411 75539999 99408 32049999 99404 87559999 99401 42069999 99397 95579999 99394 48089999 99390 99599999 99387 500
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx
10 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 11
xxxx
12 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 13
xxxx
14 LOGARITHMIC TABLES TO THE BASE e
XXXX
651652653654655656657658659660661662663664665666667668669670671672673674675676677678679680681682683684685686687688689690691692693694695696697698699700
m XXXX
6.47850 96422 08569 24242 9766.48004 45619 26652 95289 9406.48157 71292 76431 06141 2956.48310 73514 57198 70118 9796.48463 52356 35251 91875 0186.48616 07889 44089 04153 5696.48768 40184 84610 51188 2606.48920 49313 25317 20134 3546.49072 35345 02507 21920 3876.49223 98350 20471 22889 2416.49375 38398 51686 28584 0696.49526 55559 37008 21020 1856.49677 49901 85862 50769 8276.49828 21494 76433 85172 7176.49978 70406 55854 13971 5146.50128 96705 40389 13657 5826.50279 00459 15623 71799 0026.50428 81735 36645 72609 4226.50578 40601 28228 45003 1356.50727 77123 85011 74368 8076.50876 91369 71681 79281 3336.51025 83405 23149 54358 6766.51174 53296 44727 30457 8916.51323 01109 12307 03392 2106.51471 26908 72529 82338 7256.51619 30760 42964 09094 1446.51767 12729 12274 99324 0696.51914 72879 40395 56939 4616.52062 11275 58696 12722 2076.52209 27981 70152 38310 1996.52356 23061 49512 36640 8636.52502 96578 43462 09940 8346.52649 48595 70790 06338 2856.52795 79176 22550 46163 3986.52941 88382 62225 28991 5956.53087 76277 25885 22473 3296.53233 42922 22349 33983 6486.53378 88379 33343 66114 1776.53524 12710 13658 57019 7966.53669 15975 91305 06621 9996.53813 98237 67669 89660 7766.53958 59556 17669 56576 7966.54102 99991 89903 23195 7796.54247 19605 06804 50177 0916.54391 18455 64792 13178 9546.54534 96603 34419 64683 0216.54678 54107 60523 88411 6306.54821 91027 62372 47261 6716.54965 07422 33810 25669 7476.55108 03350 43404 67314 134
in l.O-'XXXX
,0^06 50978 81086 96032 70551978 74572 38475 17352978 68047 81048 02953978 61513 23751 47154978 54968 66585 70155978 48414 09550 91856978 41849 52647 32257978 35274 95875 11358978 28690 39234 49259978 22095 82725 657
.0^06 60978 15491 26348 80961978 08876 70104 14862978 02252 13991 87363977 95617 58012 18664977 88973 02165 28565977 82318 46451 37166977 75653 90870 64467977 68979 35423 30468977 62294 80109 55069977 55600 24929 582
.0^06 70977 48895 69883 60171977 42181 14971 80772977 35456 60194 39973977 28722 05551 57874977 21977 51043 54375977 15222 96670 49476977 08458 42432 63177977 01683 88330 15578976 94899 34363 26579976 88104 80532 161
.0^06 80976 81300 26837 04481976 74485 73278 11282976 67661 19855 56683976 60826 66569 60784976 53982 13420 43385976 47127 60408 24686976 40263 07533 24487976 33388 54795 62888976 26504 02195 59889976 19609 49733 353
.0^06 90976 12704 97409 09591976 05790 45223 02292975 98865 93175 33493975 91931 41266 23294975 84986 89495 91695975 78032 37864 58696975 71007 86372 44097975 64093 35019 68098975 57108 83800 50699975 50114 32733 117
m 1.0'XXXX
0'065 09999 97880 99519999 97874 48029999 97867 95539999 97361 42049999 97854 87559999 97848 32069999 97841 75579999 97835 18089999 97828 59599999 97822 000
o'^OOe 09999 97815 39519999 97808 78029999 97802 15539999 97795 52049999 97788 87559999 97782 22069999 97775 55579999 97768 88089999 97762 19599999 97755 500
,
0''067 09999 97748 79519999 97742 08029999 97735 35539999 97728 62049999 97721 87559999 97715 12069999 97708 35579999 97701 58089999 97694 79599999 97688 000
.0''068 09999 97681 19519999 97674 38029999 97667 55539999 97660 72049999 97653 87559999 97647 02069999 97640 15579999 97633 28089999 97626 39599999 97619 500
.0''069 09999 97612 59519999 97605 68029999 97598 75539999 97591 82049999 97584 87559999 97577 92069999 97570 95579999 97563 98089999 97556 99599999 97550 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 15
xxxx
16 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 17
xxxx
18 LOGARITHMIC TABLES TO THE BASE e
xxxx
851852853854855856857858859860861862863864865866867868869870871872873874875876877878879880881882883884885886887888889890891892893894895896897898899900
In XXXX
6.74641 21285 73374 13517 4856.74758 65268 29315 73155 9166.74875 95474 91679 11794 9806.74993 11937 88569 86327 3976.75110 14689 36760 21740 0286.75227 03761 41742 10155 6106.75343 79185 97779 78940 2046.75460 40994 87962 28092 7916.75576 89219 84255 37131 6986.75693 23892 47553 41690 8076.75809 45044 27730 80036 7366.75925 52706 63693 09716 4906.76041 46910 83427 94543 3606.76157 27688 04055 62127 1906.76272 95069 31879 32153 4266.76388 49085 62435 15613 7526.76503 89767 80541 85189 4316.76619 17146 60350 16986 8986.76734 31252 65392 03823 4896.76849 32116 48629 40259 6516.76964 19768 52502 79572 3566.77078 94239 08979 62862 9016.77193 55558 39602 20490 7216.77308 03756 55535 46023 3016.77422 38863 57614 42890 7636.77536 60909 36391 43932 1826.77650 69923 72183 04019 2036.77764 65936 35116 65941 0446.77878 48976 85176 99733 5096.77992 19074 72252 15633 1636.78105 76259 36179 50836 4256.78219 20560 06791 30241 8436.78332 52006 03960 01352 4606.78445 70626 37643 43513 7496.78558 76450 07929 51661 2056.78671 69506 05080 94750 3246.78784 49823 09579 49040 3056.78897 17429 92170 06401 5046.79009 72355 13904 57815 2796.79122 14627 26185 52233 5816.79234 44274 70809 30964 2926.79346 61325 80009 37747 0576.79458 65808 76499 04682 9986.79570 57751 73514 14180 4916.79682 37182 74855 37077 8566.79794 04129 74930 47102 5986.79905 58620 58796 11825 5496.80017 00683 02199 60267 0756.80128 30344 71620 27311 2446.80239 47633 24310 75082 647
In I.O'XXXX
.0^08 50963 79200 41857 28851963 70686 14356 34852963 62161 87025 78753963 53627 59865 80354963 45083 32876 59755963 36529 06058 37056963 27964 79411 32157963 19390 52935 64958963 10306 26631 55659963 02212 0499 240
.0^08 60962 93607 74538 90361962 84993 48750 74362962 76369 23134 96063962 67734 97691 75664962 59090 72421 32965962 50436 47323 87966962 41772 22399 60767962 33097 97648 71368962 24413 73071 39569962 15719 48667 856
.0^08 70962 07015 24438 29371961 98301 0382 90872961 89576 76501 90073961 80842 52795 46974961 72098 29263 81575961 63344 05907 13876961 54579 82725 63977961 45805 59719 51678961 37021 36888 97079961 28227 14234 200
.0% 80961 19422 91755 40881961 10608 69452 79282961 01784 47326 55383960 92950 25376 89184960 84106 03604 00585960 75251 82008 09686960 66387 60589 36387960 57513 39348 00688960 48629 18284 22689960 39734 97398 222
.Ohs 90960 30830 76690 19591960 21916 56160 34392960 12992 35808 86893960 04058 15635 96994959 95113 95641 84695959 86159 75826 69896959 77195 56190 72797959 68221 36734 13298959 59237 17457 11299959 50242 98359 868
m 1.0'xxxx
.0'085 09999 96378 99519999 96370 48029999 96361 95539999 96353 42049999 96344 87559999 96336 32069999 96327 75579999 96319 18089999 96310 59599999 96302 000
.0^086 09999 96293 39519999 96284 78029999 96276 15539999 96267 52049999 96258 87559999 96250 22069999 96241 55579999 96232 88089999 96224 19599999 96215 500
.0^087 09999 96206 79519999 96198 08029999 96189 35539999 96180 62049999 96171 87559999 96163 12069999 96154 35579999 96145 58089999 96136 79599999 96128 000
. 0*^088 09999 96119 19519999 96110 38029999 96101 55539999 96092 72049999 96083 87559999 96075 02069999 96066 15579999 96057 28089999 96048 39599999 96039 500
.0''089 09999 96030 59519999 96021 68029999 96012 75539999 96003 82049999 95994 87559999 95985 92069999 95976 95579999 95967 98089999 95958 99599999 95950 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 19
xxxx m xxxx
901 6.80350 52576 08337 91439 400902 6.80461 45200 62623 65734 594903 6.80572 25534 16985 41997 344904 6.80682 93603 92176 49683 383905 6.80793 49436 99926 12143 985906 6.80903 93060 42979 32960 871907 6.81014 24501 15136 60293 597908 6.81124 43786 01293 29384 785909 6.81234 50941 77478 83367 469910 6.81344 45995 10895 72517 683911 6.81454 28972 59958 32094 335912 6.81563 99900 74331 38907 320913 6.81673 58805 94968 46753 742914 6.81783 05714 54150 00861 036915 6.81892 40652 75521 31474 739916 6.82001 63646 74130 26727 570917 6.82110 74722 56464 84925 478918 6.82219 73906 20490 46385 250919 6.82328 61223 55687 04957 262920 6.82437 36700 43085 99365 921921 6.82546 00362 55306 84499 371922 6.82654 52235 56593 82778 996923 6.82762 92345 02852 15738 294924 6.82871 20716 41684 15939 701925 6.82979 37375 12425 19356 961926 6.83087 42346 46179 38349 708927 6.83195 35655 65855 15355 909928 6.83303 17327 86200 57426 943929 6.83410 87388 13838 51729 080930 6.83518 45861 47301 62134 240931 6.83625 92772 77067 07021 973932 6.83733 28146 85591 18413 669933 6.83840 52008 47343 82559 124934 6.83947 64382 28842 62094 676935 6.84054 65292 88686 99891 224936 6.84161 54764 77592 04709 567937 6.84268 32822 38422 18779 634938 6.84374 99490 06224 67419 266939 6.84481 54792 08262 90807 401940 6.84587 98752 64049 58025 617941 6.84694 31395 85379 63481 153942 6.84800 52745 76363 05823 692943 6.84906 62826 33457 49467 352944 6.85012 61661 45500 68828 498945 6.85118 49274 93742 75389 185946 6.85224 25690 51878 27695 202947 6.85329 90931 86078 24396 913948 6.85435 45022 55021 80440 266949 6.85540 87986 09927 86514 560950 6.85646 19845 94586 51862 778
in l.O^XXXX in I.O'XXXX
.0^09 00959 41238 79442 60001959 32224 60705 50702959 23200 42148 79003959 14166 23772 64904959 05122 05577 28305958 96067 87562 89306958 87003 69729 67807958 77929 52077 83808958 68845 34607 57309958 59751 17319 084
.0^09 10958 50647 00212 57011958 41532 83288 23112958 32408 66546 26713958 23274 49986 87814958 14130 33610 26415958 04976 17416 62516957 95812 01406 16117957 86637 85579 07118957 77453 69935 55619957 68259 54475 816
.0^09 20957 59055 39200 05121957 49841 24108 46022957 40617 09201 24323957 31382 94478 60124957 22138 79940 73325957 12884 65587 84026957 03620 51420 12127956 94346 37437 77628956 85062 23641 00629956 75768 10030 009
.0^09 30956 66463 96604 98731956 57149 83366 13832956 47825 70313 66433956 38491 57447 76334956 29147 44768 63635956 19793 32276 48336956 10429 19971 50437956 01055 07853 89838955 91670 95923 86639955 82276 84181 608
. 0^09 40955 72872 72627 32341955 63458 61261 21142955 54034 50083 47343955 44600 39094 30844955 35156 28293 91745955 25702 17682 49846955 16238 07260 25347955 06763 97027 38148954 97279 86984 08249954 87785 77130 556
.0'090 09999 95940 99519999 95931 98029999 95922 95539999 95913 92049999 95904 87559999 95895 82069999 95886 75579999 95877 68089999 95868 59599999 95859 5000''091 09999 95850 39519999 95841 28029999 95832 15539999 95823 02049999 95813 87559999 95804 72069999 95795 55579999 95786 38089999 95777 19599999 95768 0000''092 09999 95758 79519999 95749 58029999 95740 35539999 95731 12049999 95721 87559999 9571* 62069999 95703 35579999 95694 08089999 95684 79599999 95675 500
.0^093 09999 95666 19519999 95656 88029999 95647 55539999 95638 22049999 95628 87559999 95619 52069999 95610 15579999 95600 78089999 95591 39599999 95582 0000^094 09999 95572 59519999 95563 18029999 95553 75539999 95544 32049999 95534 87559999 95525 42069999 95515 95579999 95506 48089999 95496 99599999 95487 500
SMITHSONIAN LOGARITHMIC TABLES
20 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 21
xxxx
22 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 23
xxxx
24 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 25
xxxx
26 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX
1251 7.13169 85104 66911 13997 9281252 7.13249 75516 60043 83551 3231253 7.13329 59548 96068 30128 3161254 7.13409 37211 92866 00488 3451255 7.13489 08515 65884 26081 9341256 7.13568 73470 28143 98567 6141257 7.13648 32085 90247 42242 8181258 7.13727 84372 60385 83403 4861259 7.13807 30340 44347 16647 0141260 7.13886 69999 45523 68133 1071261 7.13966 03359 64919 55817 0211262 7.14045 30431 01158 46669 5971263 7.14124 51223 50491 10898 3961264 7.14203 65747 06802 73184 1871265 7.14282 74011 61620 60946 9461266 7. 14361 76027 04121 49655 4431267 7.14440 71803 21139 05194 4441268 7.14519 61349 97171 23303 4231269 7. 14598 44677 14387 66100 6691270 7.14677 21794 52636 95706 5431271 7.14755 92711 89454 04979 5931272 7.14834 57439 00067 45379 1411273 7.14913 15985 57406 51967 9101274 7.14991 68361 32108 65568 1431275 7.15070 14575 92526 52084 6301276 7.15148 54639 04735 19007 9681277 7.15226 88560 32539 29111 2991278 7.15305 16349 37480 11353 7181279 7.15383 38015 78842 69003 4531280 7. 15461 53569 13662 84993 862
in I.O'XXXX
12811282128312841285128612871288128912901291129212931294129512961297129812991300
7.15539 63018 96734 24525 1997.15617 66374 80615 34925 0647.15695 63646 15636 42780 3447.15773 54842 49906 48353 4117.15851 39973 29320 17295 2557.15929 19047 97564 69668 1807. 16006 92075 96126 66290 5927. 16084 59066 64298 92416 3807.16162 20029 39187 38761 2857.16239 74973 55717 79888 6087.16317 23908 46642 49966 5387.16394 66843 42547 15909 3037.16472 03787 71857 47914 2917.16549 34750 60845 87407 2307.16626 59741 33638 12407 421
7. 16703 78769 12220 00324 9917.16780 91843 16443 88202 0447.16857 98972 64035 30409 5237.16935 00166 70599 53811 5537.17011 95434 49628 10408 947
m i.o'xxxx
.0^12 50921 75647 54419 24251921 63134 11024 87752921 50610 67880 86453921 38077 24987 40454921 25533 82344 69755921 12980 39952 94256921 00416 97812 34057920 87843 55923 09158920 75260 14285 39559920 62666 72899 451
.0^12 60920 50063 31765 45961920 37449 90883 62062920 24826 50254 13263920 12193 09877 19764919 99549 69753 01465919 86896 29881 78366919 74232 90263 70467919 61559 50898 97768919 48876 11787 80269919 36182 72930 378
.0^12 70919 23479 34326 90671919 10765 95977 58572918 98042 57882 61673918 85309 20042 19974918 72565 82456 53275918 59812 45125 81776918 47049 08050 25377918 34275 71230 04078918 21492 34665 37879918 08698 98356 467
.0^12 80917 95895 62303 50781917 83082 26506 69882917 70258 90966 23983917 57425 55682 33184917 44582 20655 17485917 31728 85884 96786917 18865 51371 91087917 05992 17116 20488916 93108 83118 04889916 80215 49377 642
.0^12 90916 67312 15895 18791916 54398 82670 88192916 41475 49704 92593916 28542 16997 51994916 15598 84548 86395916 02645 52359 15696915 89682 20428 60097915 76708 88757 39298915 63725 57345 73499915 50732 26193 826
.0''l25 09999 92174 99519999 92162 48029999 92149 95539999 92137 42049999 92124 87559999 92112 32069999 92099 75579999 92087 18089999 92074 59599999 92062 000
.
0*^1 26 09999 92049 39519999 92036 78029999 92024 15539999 92011 52049999 91998 87559999 91986 22069999 91973 55579999 91960 88089999 91948 19599999 91935 5000^127 09999 91922 79519999 91910 08029999 91897 35539999 91884 62049999 91871 87559999 91859 12069999 91846 35579999 91833 58089999 91820 79599999 91808 0000''l28 09999 91795 19519999 91782 38029999 91769 55539999 91756 72049999 91743 87559999 91731 02069999 91718 15579999 91705 28089999 91692 39599999 91679 500
.0^129 09999 91666 59519999 91653 68029999 91640 75539999 91627 82049999 91614 87559999 91601 92069999 91588 95579999 91575 98089999 91562 99599999 91550 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 27
XXXX
13011302130313041305130613071308130913101311131213131314131513161317131813191320132113221323132413251326132713281329133013311332133313341335133613371338133913401341134213431344134513461347134813491350
m XXXX
7.17088 84785 12505 27473 5087.17165 68227 68514 55184 6997.17242 45771 24845 11780 1817.17319 17424 86598 26231 6637.17395 83197 56793 78457 4527.17472 43098 36376 37083 0187.17548 97136 24221 94760 8357.17625 45320 17144 01060 7037. 17701 87659 09899 92941 6837.17778 24161 95197 22816 7427.17854 54837 63699 84221 1037.17930 79695 04034 35095 2927.18006 98743 02796 18693 7697.18083 11990 44555 82129 9837. 18159 19446 11864 92568 6697.18235 21118 85262 51076 0777.18311 17017 43281 04138 8467.18387 07150 62452 52862 1117.18462 91527 17314 59857 4207. 18538 70155 80416 53830 9647.18614 43045 22325 31882 5607.18690 10204 11631 59525 7927.18765 71641 14955 68439 6447.18841 27364 96953 51961 9087.18916 77384 20322 58334 5997.18992 21707 45807 81711 5507.19067 60343 32207 50938 3157.19142 93300 36379 16114 4407.19218 20587 13245 32948 1257.19293 42212 15799 44913 2377.19368 58183 95111 63218 5837.19443 68511 00334 44599 3057.19518 73201 78708 66940 2017.19593 72264 75569 02740 7267.19668 65708 34349 90431 3827.19743 53540 96591 03551 1457.19818 35771 01943 17795 5307.19893 12406 88173 75944 8587.19967 83456 91172 50682 2097.20042 48929 44957 05310 5307.20117 08832 81678 52378 2927.20191 63175 31627 10223 0567.20266 11965 23237 57442 2487.20340 55210 83094 85300 3997.20414 92920 35939 48082 0717.20489 25102 04673 11399 6147.20563 51764 10363 98464 8777.20637 72914 72252 34333 9337.20711 88562 07755 88133 8487.20785 98714 32475 13280 449
In 1.0-*XXXX
.0^13 00915 37728 95301 86701915 24715 64670 05702915 11692 34298 59603914 98659 04187 68404914 85615 74337 52205914 72562 44748 30806914 59499 15420 24307914 46425 86353 52708914 33342 57548 35909914 20249 29004 940
.0^13 10914 07146 00723 47011913 94032 72704 14812913 80909 44947 17413913 67776 17452 74914913 54632 90221 07215913 41479 63252 34316913 28316 36546 76217913 15143 10104 52918913 01959 83925 84419912 88766 58010 907
.0^13 20912 75563 32359 91821912 62350 06973 07622912 49126 81850 58223912 35893 56992 63524912 22650 32399 43625912 09397 08071 18426911 96133 84008 07927911 82860 60210 32128911 69577 36678 11129911 56284 13411 648
.0^13 30911 42980 90411 13131911 29667 67676 76132911 16344 45208 73933911 03011 23007 26334910 89668 01072 53335910 76314 79404 75036910 62951 58004 11437910 49578 36870 82438910 36195 16005 08039910 22801 95407 082
.0^13 40910 09398 75077 03141909 95985 55015 12542909 82562 35221 56643909 69129 15696 55344909 55685 96440 28545909 42232 77452 96346909 28769 58734 78747909 15296 40285 95648909 01813 22106 67149908 88320 04197 131
m 1.0'XXXX
0''l30 09999 91536 99519999 91523 98029999 91510 95539999 91497 92049999 91484 87559999 91471 82069999 91458 75579999 91445 68089999 91432 59599999 91419 5000''l31 09999 91406 39519999 91393 28029999 91380 15539999 91367 02049999 91353 87559999 91340 72069999 91327 55579999 91314 38089999 91301 19599999 91288 0000''l32 09999 91274 79519999 91261 58029999 91248 35539999 91235 12049999 91221 87559999 91208 62069999 91195 35579999 91182 08089999 91168 79599999 91155 500
.0''l33 09999 91142 19519999 91128 88029999 91115 55539999 91102 22049999 91088 87559999 91075 52069999 91062 15579999 91048 78089999 91035 39599999 91022 000
.0^134 09999 91008 59519999 90995 18029999 90981 75539999 90968 32049999 90954 87559999 90941 42069999 90927 95579999 90914 48089999 90900 99599999 90887 500
SMITHSONIAN LOGARITHMIC TABLES
28 LOGARITHMIC TABLES TO THE BASE e
xxxx
1351135213531354135513561357135813591360136113621363136413651366136713681369137013711372137313741375137613771378137913801381138213831384138513861387138813891390139113921393139413951396139713981399
m xxxx In I.O'XXXX
7.20860 03379 60198 85696 0287.20934 02566 02909 40035 8677.21007 96281 70788 03932 3957.21081 84534 72220 30265 7927.21155 67333 13801 27469 7637.21229 44685 00340 87881 1847.21303 16598 34869 14142 2807.21376 83081 18641 43663 9317.21450 44141 51143 71158 6737.21523 99787 30097 69251 9227.21597 50026 51466 07179 8847.21670 94867 09457 67582 5867.21744 34316 96532 61400 4227.21817 68384 03407 40882 5577.21890 97076 19060 10715 4847.21964 20401 30735 37280 0087.22037 38367 23949 56044 8587.22110 50981 82495 77105 1217.22183 58252 88448 88873 6197.22256 60188 22170 59933 3187.22329 56795 62314 39058 8387.22402 48082 85830 53415 0527.22475 34057 67971 04940 7647.22548 14727 82294 64925 3717.22620 90101 00671 66786 4227.22693 60184 93288 97055 9007.22766 24987 28654 84583 0527.22838 84515 73603 87961 5197.22911 38777 93301 81188 5157.22983 87781 51250 37563 7227.23056 31534 09292 11835 5697.23128 70043 27615 20602 4997.23201 03316 64758 20976 7977.23273 31361 77614 87518 5207.23345 54186 21438 87447 0167.23417 71797 49848 54137 5027.23489 84203 14831 58910 1147.23561 91410 66749 81118 8147.23633 93427 54343 76547 5097.23705 90261 24737 44120 6787.23777 81919 23442 90935 7897.23849 68408 94364 95624 7457.23921 49737 79805 70051 5477.23993 25913 20469 19353 3537.24064 96942 55466 00332 0417.24136 62833 22317 78203 3957.24208 23592 56961 81710 9387.24279 79227 93755 56611 4707.24351 29746 65481 17539 257
In 1.0^ XXXX
1400 7.24422 75156 03349 98255 857
.0^13 50908 74816 86557 53751908 61303 69188 08752908 47780 52088 98353908 34247 35260 42554908 20704 18702 61155908 07151 02415 74256907 93587 86400 01757907 80014 70655 63858907 66431 55182 80359907 52838 39981 713
.0^13 60907 39235 25052 56861907 25622 10395 56762907 11998 96010 91063906 98365 81898 79764906 84722 68059 42965906 71069 54493 00566906 57406 41199 72567906 43733 28179 78968906 30050 15433 39669906 16357 02960 748
.0^13 70906 02653 90762 04371905 88940 78837 48272905 75217 67187 26473905 61484 55811 59074905 47741 44710 65975905 33988 33884 67176905 20225 23333 82777905 06452 13058 32678904 92669 03058 36879904 78875 93334 152
.0^13 80904 65072 83885 88081904 51259 74713 75182904 37436 65817 96483904 23603 57198 72084904 09760 48856 21885903 95907 40790 65986903 82044 33002 24287903 68171 25491 16788903 54288 18257 63589903 40395 11301 845
.0^13 90903 26492 04623 99791903 12578 98224 29192902 98655 92102 92693902 84722 86260 10494902 70779 80696 02395902 56826 75410 88496902 42863 70404 88697902 28890 65678 23098902 14907 61231 11699902 00914 57063 742
0^135 09999 90873 99519999 90860 48029999 90846 95539999 90833 42049999 90819 87559999 90806 32069999 90792 75579999 90779 18089999 90765 59599999 90752 0000^ 136 09999 90738 39519999 90724 78029999 90711 15539999 90697 52049999 90683 87559999 90670 22069999 90656 55579999 90642 88089999 90629 19599999 90615 5000''l37 09999 90601 79519999 90588 08029999 90574 35539999 90560 62049999 90546 87559999 90533 12069999 90519 35579999 90505 58089999 90491 79599999 90478 000
. O'' 138 09999 90464- 19519999 90450 38029999 90436 55539999 90422 72049999 90408 87559999 90395 02069999 90381 15579999 90367 28089999 90353 39599999 90339 500
.0''l39 09999 90325 59519999 90311 68029999 90297 75539999 90283 82049999 90269 87559999 90255 92069999 90241 95579999 90227 98089999 90213 99599999 90200 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 29
xxxx
14011402140314041405140614071408140914101411141214131414141514161417141814191420142114221423142414251426142714281429143014311432143314341435143614371438143914401441144214431444144514461447144814491450
m xxxx
7.24494 15463 37007 00292 4787.24565 50675 94535 39991 7587.24636 80801 02460 93955 8147.24708 05845 85756 42907 3697.24779 25817 67846 13970 7407.24850 40723 70610 21379 4367.24921 50571 14389 05617 0677.24992 55367 17987 70998 2577.25063 55118 98680 21696 1907.25134 49833 72213 96223 4197.25205 39518 52814 00372 5017.25276 24180 53187 38623 0187.25347 03826 84527 44021 4947.25417 78464 56518 06540 6787.25488 48100 77337 99924 6757.25559 12742 53665 07026 2997.25629 72396 90680 43643 0807.25700 27070 92072 80858 2437.25770 76771 60042 65893 0037.25841 21505 95306 41476 4687.25911 61280 97100 63739 3987.25981 96103 63186 18638 0677.26052 25980 89852 36914 4167.26122 50919 71921 07598 6747.26192 70927 02750 90060 5797.26262 86009 74241 24615 3157.26332 96174 76836 41690 2417.26403 01428 99529 69558 4607.26473 01779 29867 40645 2497.26542 97232 53952 96413 3427.26612 87795 56450 90833 0207.26682 73475 20590 92442 9507.26752 54278 28171 85007 6647.26822 30211 59565 66777 5647.26892 01281 93721 48357 2887.26961 67496 08169 49188 2567.27031 28860 79024 92651 1927.27100 85382 80991 99794 3727.27170 37068 87367 81693 3307.27239 83925 70046 30447 7417.27309 25959 99522 08821 1377.27378 63178 44894 38529 1197.27447 95587 73870 87181 6837.27517 23194 52771 53885 2527.27586 46005 46532 53509 983
In l.O-'XXXX
27655 64027 1870927724 77266 3148327793 85729 4566127862 89423 2068227931 88354 14620
99627 88986127 29067509 07837870 26008580 202
,0^14 00901 86911 53176 31001901 72898 49569 01902901 58875 46242 06903901 44842 43195 66004901 30799 40429 99105901 16746 37945 26406901 02683 35741 67907900 88610 33819 43108900 74527 32178 72609900 60434 30819 760
.0^14 10900 46331 29742 73611900 32218 28947 85112900 18095 28435 30713900 03962 28205 30314899 89819 28258 03915899 75666 28593 71416899 61503 29212 53017899 47330 30114 68618899 33147 31300 38119899 18954 32769 816
.0^14 20899 04751 34523 19021898 90538 36560 70322898 76315 38882 55723898 62082 41488 94924898 47839 44380 08025898 33586 47556 15126898 19323 51017 36027898 05050 54763 90928897 90767 58795 99629897 76474 63113 822
.0^14 30897 62171 67717 58731897 47858 72607 49132897 33535 77783 73233897 19202 83246 51334897 04859 88996 03135896 90506 95032 48836896 76144 01356 08337896 61771 07967 01638896 47388 14865 48739896 32995 22051 696
.0^14 40896 18592 29525 84241896 04179 37288 12742895 89756 45338 74943895 75323 53677 90844895 60880 62305 80645895 46427 71222 64046895 31964 80428 61247895 17491 89923 92048895 03008 99708 76649894 88516 09783 350
in 1.0'XXXX
0^140 09999 90185 99519999 90171 98029999 90157 95539999 90143 92049999 90129 87559999 90115 82069999 90101 75579999 90087 68089999 90073 59599999 90059 5000^141 09999 90045 39519999 90031 28029999 90017 15539999 90003 02049999 89988 87559999 89974 72069999 89960 55579999 89946 38089999 89932 19599999 89918 000
O'^ 142 09999 89903 79519999 89889 58029999 89875 35539999 89861 12049999 89846 87559999 89832 62069999 89818 35579999 89804 08089999 89789 79599999 89775 500
,0^143 09999 89761 19519999 89746 88029999 89732 55539999 39718 22049999 89703 87559999 89689 52069999 89675 15579999 89660 78089999 89646 39599999 89632 000
,0''l44 09999 89617 59519999 89603 18029999 89588 75539999 89574 32049999 89559 87559999 89545 42069999 89530 95579999 89516 48089999 89501 99599999 89487 500
SMITHSONIAN LOGARITHMIC TABLES
30 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 31
xxxx
32 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 33
xxxx
34 LOGARITHMIC TABLES TO THE BASE e
xxxx In XXXX
1651 7.40913 64439 20128 00910 0931652 7.40974 19540 80923 37455 5871653 7.41034 70978 21024 17858 7541654 7.41095 18755 83636 62390 1571655 7.41155 62878 11163 27538 5381656 7.41216 03349 45205 00184 8941657 7.41276 40174 26562 91190 4531658 7.41336 73356 95240 28400 6671659 7.41397 02901 90444 49067 3541660 7.41457 28813 50588 91691 0701661 7.41517 51096 13294 87285 8181662 7.41577 69754 15393 50068 1871663 7.41637 84791 92927 67572 9801664 7.41697 96213 81153 90197 4111665 7.41758 04024 14544 20175 9351666 7.41818 08227 26787 99987 7471667 7.41878 08827 50794 00199 0141668 7.41938 05829 18692 06741 8491669 7.41997 99236 61835 07632 0741670 7.42057 89054 10800 79127 7741671 7.42117 75285 95393 71330 6671672 7.42177 57936 44646 93232 2671673 7.42237 37009 86823 97206 8521674 7.42297 12510 49420 62953 2131675 7. 42356 84442 59166 80887 1591676 7.42416 52810 42028 34986 7401677 7.42476 17618 23208 85092 1581678 7.42535 78870 27151 48662 3061679 7.42595 36570 77540 81989 8861680 7.42654 90723 97304 60877 0291681 7.42714 41334 08615 60773 3531682 7.42773 88405 32893 36378 3771683 7.42833 31941 90806 00710 1971684 7.42892 71948 02272 03642 3181685 7.42952 08427 86462 09910 5631686 7.43011 41385 61800 76591 9121687 7.43070 70825 45968 30057 1761688 7.43129 96751 55902 42399 3651689 7.43189 19168 07800 07339 6081690 7.43248 38079 17119 15612 4971691 7.43307 53488 98580 29832 6841692 7.43366 65401 66168 58844 5911693 7.43425 73821 33135 31557 0381694 7.43484 78752 11999 70264 6471695 7.43543 80198 14550 63457 8141696 7.43602 78163 51848 38123 0631697 7.43661 72652 34226 31535 6011698 7.43720 63668 71292 62545 8461699 7.43779 51216 71932 02361 7301700 7.43838 35300 44307 44828 552
In l.O-'XXXX m 1.0'xxxx
.0^16 50863 72494 91342 50951863 55982 64042 70652863 39460 37073 22153863 22928 10434 25454863 06385 84126 00555862 89833 58148 67456862 73271 32502 46057862 56699 07187 56458862 40116 82204 18659862 23524 57552 526
.0^16 60862 06922 33232 78261861 90310 09245 15662861 73687 85589 84763861 57055 62267 05564861 40413 39276 98065861 23761 16619 82266861 07098 94295 78167860 90426 72305 05668860 73744 50647 84869860 57052 29324 356
.0^16 70860 40350 08334 78171860 23637 87679 32272860 06915 67358 17973859 90183 47371 55274859 73441 27719 64175859 56689 08402 64676859 39926 89420 76677859 23154 70774 20378859 06372 52463 15479858 89580 34487 822
.0^16 80858 72778 16848 40481858 55965 99545 10282858 39143 82578 11583858 22311 65947 64384858 05469 49653 88685857 88617 33697 04486857 71755 18077 31787857 54883 02794 90488857 38000 87850 00689857 21108 73242 822
.0^16 90857 04206 58973 55391856 87294 45042 39792856 70372 31449 55693856 53440 18195 22994856 36498 05279 61695856 19545 92702 91796856 02583 80465 33197855 85611 68567 05998855 68629 57008 30199855 51637 45789 256
.0'165 09999 86370 99519999 86354 48029999 86337 95539999 86321 42049999 86304 87559999 86288 32069999 86271 75579999 86255 18089999 86238 59599999 86222 0000''l66 09999 86205 39519999 86188 78029999 86172 15539999 86155 52049999 86138 87559999 86122 22069999 86105 55579999 86088 88089999 86072 19599999 86055 5000''l67 09999 86038 79519999 86022 08029999 86005 35539999 85988 62049999 85971 87559999 85955 12069999 85938 35579999 85921 58089999 85904 79599999 85888 0000''l68 09999 85871 19519999 85854 38029999 85837 55539999 85820 72049999 85803 87559999 85787 02069999 85770 15579999 85753 28089999 85736 39599999 85719 500
.0^169 09999 85702 59519999 85685 68029999 85668 75539999 85651 82049999 85634 87559999 85617 92069999 85600 95579999 85583 98089999 85566 99599999 85550 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 35
xxxx
36 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 17
xxxx
3S LOGARITHMIC TABLES TO THE BASE e
xxxx in XXXX m i.o-'xxxx
1851 7.52348 13125 73497 50539 2821852 7.52402 14152 06124 69291 4311853 7.52456 12262 85359 78062 6851854 7.52510 07461 25800 46297 6321855 7.52563 99750 41535 51385 0581856 7.52617 89133 46145 88368 6661857 7.52671 75613 52705 79362 3281858 7.52725 59193 73783 82670 8031859 7.52779 39877 21444 01616 8921860 7.52833 17667 07246 93075 9631861 7.52886 92566 42250 75718 7991862 7.52940 64578 37012 37963 6971863 7.52994 33706 01588 45638 7731864 7.53047 99952 45536 49355 3921865 7.53101 63320 77915 91593 6491866 7.53155 23814 07289 13500 8471867 7.53208 81435 41722 61403 8721868 7.53262 36187 88787 93036 4001869 7.53315 88074 55562 83481 8411870 7.53369 37098 48632 30832 9471871 7.53422 83262 74089 61568 9681872 7.53476 26570 37537 35651 2911873 7.53529 67024 44088 51338 4411874 7.53583 04627 98367 49721 3571875 7.53636 39384 04511 18979 8281876 7.53689 71295 66169 98360 9891877 7.53743 00365 86508 81880 7611878 7.53796 26597 68208 21749 1241879 7.53849 49994 13465 31520 1031880 7.53902 70558 23994 88967 3411881 7.53955 88293 01030 38686 1461882 7.54009 03201 45324 94422 8771883 7.54062 15286 57152 41132 5311884 7.54115 24551 36308 36765 4151885 7.54168 30998 82111 13783 7521886 7.54221 34631 93402 80409 0751887 7.54274 35453 68550 21601 2881888 7.54327 33467 05445 99770 2211889 7.54380 28675 01509 55220 5501890 7.54433 21080 53688 06330 9081891 7.54486 10686 58457 49468 0551892 7.54538 97496 11823 58636 9251893 7.54591 81512 09322 84867 3981894 7.54644 62737 46023 55338 6361895 7.54697 41175 16526 72241 8001896 7.54750 16828 14967 11381 9891897 7. 54802 89699 35014 20520 2221898 7.54855 59791 69873 17456 2831899 7.54908 27108 12285 87853 2451900 7.54960 91651 54531 82804 501
in 1.0'XXXX
.0^18 50828 71108 67258 91251828 52597 10000 68752828 34075 53112 75853828 15543 96595 32754827 97002 40448 59355827 78450 84672 75556827 59889 29268 01557827 41317 74234 57058827 22736 19572 62359827 04144 65282 371
.0^18 60826 85543 11364 01661826 66931 57817 75762826 48310 04643 79463826 29678 51842 32764826 11036 99413 55665825 92385 47357 68066825 73723 95674 90067825 55052 44365 41568825 36370 93429 42669825 17679 42867 132
.0^18 70824 98977 92678 73371824 80266 42864 42972824 61544 93424 42073824 42813 44358 90674824 24071 95668 08675824 05320 47352 16176823 86558 99411 33177823 67787 51845 79478823 49006 04655 75279823 30214 57841 405
.0^18 80823 11413 11402 95181822 92601 65340 59182822 73780 19654 52483822 54948 74344 95284822 36107 29412 07385822 17255 84856 08786821 98394 40677 19587821 79522 96875 59688821 60641 53451 49089821 41750 10405 076
.0^18 90821 22848 67736 55691821 03937 25446 12992820 85015 83533 99493820 66084 42000 35294820 47143 00845 40295820 28191 60069 34496820 09230 19672 37997819 90258 79654 70698819 71277 40016 52499819 52286 00758 035
.0^185 09999 82868 99519999 82850 48029999 82831 95539999 82813 42049999 82794 87559999 82776 32069999 82757 75579999 82739 18089999 82720 59599999 82702 000
.0"'l86 09999 82683 39519999 82664 78029999 82646 15539999 82627 52049999 82608 87559999 82590 22069999 82571 55579999 82552 88089999 82534 19599999 82515 5000'^187 09999 82496 79519999 82478 08029999 82459 35539999 82440 62049999 82421 87559999 82403 12069999 82384 35579999 82365 58089999 82346 79599999 82328 0000''l88 09999 82309 19519999 82290 38029999 82271 55539999 82252 72049999 82233 87559999 82215 02069999 82196 15579999 82177 28089999 82158 39599999 82139 5000''l89 09999 82120 59519999 82101 68029999 82082 75539999 82063 82049999 82044 87559999 82025 92069999 82006 95579999 81987 98089999 81968 99599999 81950 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 39
XXXX
19011902190319041905190619071908190919101911191219131914191519161917191819191920192119221923192419251926192719281929193019311932193319341935193619371938193919401941194219431944194519461947194819491950
In XXXX
7.55013 53424 88429 16144 1047.55066 12431 05335 61501 2247.55118 68672 96149 49099 5447.55171 22153 51310 62302 3827.55223 72875 60801 33904 3457.55276 20842 14147 42170 3257.55328 66056 00419 06622 6147.55381 08520 08231 83576 9427.55433 48237 25747 61428 2237.55485 85210 40675 55686 7947.55538 19442 40273 03765 9447.55590 50936 11346 59521 4867.55642 79694 40252 87544 1827.55695 05720 12899 57205 7697.55747 29016 14746 36459 381
7. 55799 49585 30805 85395 1147.55851 67430 45644 49551 5197. 55903 82554 43383 52983 7777.55955 94960 07699 91089 3237.56008 04650 21827 23191 6637.56060 11627 68556 64883 1677.56112 15895 30237 80127 5567.56164 17455 88779 73122 8657.56216 16312 25651 79925 6057.56268 12467 21884 59836 8827.56320 05923 58070 86551 2127.56371 96684 14366 39068 7717.56423 84751 70490 92371 8117.56475 70129 05729 07865 9817.56527 52818 98931 23587 292
7. 56475 32824 28514 44175 4327.56631 10147 72463 30614 1827.56682 84792 08330 89739 6357.56734 56760 13239 63516 9627.56786 26054 63882 18086 4097.56837 92678 36522 32579 2827. 56889 56634 06995 87704 5927.56941 17924 50711 54107 1047.56992 76552 42651 80497 4757.57044 32520 57373 81555 1957.57095 85831 69010 25605 0317.57147 36488 51270 22067 6857.57198 84493 77440 08685 3347.57250 29850 20384 38522 7927.57301 72560 52546 66744 9387.57353 12627 45950 37171 1377.57404 50053 72199 68607 3247.57455 84842 02480 40956 4387.57507 16995 07560 81107 8907.57558 46515 57792 48606 748
In l.O^XXXX
,0^19 00819 33284 61879 43701819 14273 23380 93102818 95251 85262 71603818 76220 47524 99304818 57179 10167 96105818 38127 73191 82006818 19066 36596 77007817 99995 00383 Oil08817 80913 64550 74309817 61822 29100 166
.0^19 10817 42720 94031 47911817 23609 59344 88312817 04488 25040 57713816 85356 91118 76114816 66215 57579 63515816 47064 24423 40016816 27902 91650 25417816 08731 59260 39818815 89550 27254 03219815 70358 95631 355
.0^19 20815 51157 64392 56821815 31946 33537 87022815 12725 03067 46123814 93493 72981 54224814 74252 43280 31125814 55001 13963 96926814 35739 85032 71627814 16468 56486 75228813 97187 28326 27629813 77896 00551 488
.0^19 30813 58594 73162 58931813 39283 46159 77832813 19962 19543 25533813 00630 93313 22034812 81289 67469 87235812 61938 42013 41336812 42577 16944 04137812 23205 92261 95638812 03824 67967 35939811 84433 44060 449
.0^19 40811 65032 20541 42641811 45620 97410 49142811 26199 74667 84243811 06768 52313 68044810 87327 30348 20445810 67876 08771 61546810 48414 87584 11347810 28943 66785 89748810 09462 46377 16649809 89971 26358 122
in 1.0'XXXX
.
0*^190 09999 81930 99519999 81911 98029999 81892 95539999 81873 92049999 81854 87559999 81835 82069999 81816 75579999 81797 68089999 81778 59599999 81759 500
.0''l91 09999 81740 39519999 81721 28029999 81702 15539999 81683 02049999 81663 87559999 81644 7:
J
69999 81625 55579999 81606 38089999 81587 19599999 81568 000
.0^192 09999 81548 79519999 81529 58029999 81510 35539999 81491 12049999 81471 87559999 81452 62069999 81433 35579999 81414 08089999 81394 79599999 81375 5000^193 09999 81356 19519999 81336 88029999 81317 55539999 81298 22049999 81278 87559999 81259 52069999 81240 15579999 81220 78089999 81201 39599999 81182 0000^194 09999 81162 59519999 81143 18029999 81123 75539999 81104 32049999 81084 87559999 81065 42069999 81045 95579999 81026 48089999 81006 99599999 80987 500
SMITHSONIAN LOGARITHMIC TABLES
40 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 41
XXXX
20012002200320042005200620072008200920102011201220132014201520162017201820192020202120222023202420252026202720282029203020312032203320342035203620372038203920402041204220432044204520462047204820492050
m XXXX
7.60140 23345 83733 40938 5277.60190 19598 75165 89463 8027.60240 13356 65818 25332 5217.60290 04622 04755 41748 9467.60339 93397 40669 56045 1447.60389 79685 21880 84028 2827.60439 63487 96338 14142 6607.60489 44808 11619 81447 0287.60539 23648 14934 41407 7477.60589 00010 53121 43508 331
7. 60638 73897 72652 04675 9357.60688 45312 19629 82525 3237.60738 14256 39791 48420 8587.60787 80732 78507 60357 0737.60837 44743 80783 35658 3417.60887 06291 91259 23498 2007.60936 65379 54211 77238 8617.60986 22009 13554 26591 4357.61035 76183 12837 49597 4167.61085 27903 95250 44431 9427.61134 77174 03621 01029 3797.61184 23995 80416 72531 7347.61233 68371 67745 46560 4427.61283 10304 07356 16312 0397.61332 49795 40639 51478 2507.61381 86848 08628 68991 0047.61431 21464 52000 03592 9067.61480 53647 11073 78233 6687.61529 83398 25814 74293 0297.61579 10720 35833 01630 6627.61628 35615 80384 68463 5947.61677 58086 98372 51071 6377.61726 78136 28346 63331 3437.61775 95766 08505 26078 9857.61825 10978 76695 36303 0807.61874 23776 70413 36166 9337.61923 34162 26805 81861 7327.61972 42137 82670 12290 6707.62021 47705 74455 17584 6007.62070 50868 38262 07449 7247.62119 51628 09844 79347 7937.62168 49987 24610 86509 3387.62217 45948 17622 05780 3877.62266 39513 23595 05303 1937.62315 30684 76902 12031 4287.62364 19465 11571 79080 3597.62413 05856 61289 52912 4577.62461 89861 59398 40358 9557.62510 71482 38899 75477 8097.62559 50721 32453 86248 551
In l.O-'XXXX
,0^20 00799 82665 26793 05501799 62654 27313 12402799 42633 28233 47303799 22602 29554 30204799 02561 31275 81005798 82510 33398 19806798 62449 35921 66507798 42378 38846 41108798 22297 42172 63609798 02206 45900 540
.0^20 10797 82105 50030 32411797 61994 54562 18512797 41873 59496 32613797 21742 64832 94414797 01601 70572 24215796 81450 76714 41716796 61239 83259 67017796 41118 90208 20218796 20937 97560 21119796 00747 05315 898
.0^20 20795 80546 13475 46321795 60335 22039 10522795 40114 31007 02523795 19883 40379 42224794 99642 50156 49625794 79391 60338 44626794 59130 70925 47427794 38859 81917 77928794 18578 93315 56029793 98288 05119 018
.0^20 30793 77987 17328 35231793 57676 29943 76332793 37355 42965 44933793 17024 56393 61234792 96683 70228 45135792 70332 84470 16536792 55971 99118 95537792 35601 14175 02138792 15220 29638 56239791 94829 45509 779
.0^20 40791 74428 61788 87041791 54017 78476 03742791 33596 95571 47843791 13166 13075 39544790 92725 30987 98645790 72274 49309 45246790 51813 68039 99247790 31342 87179 80648790 10862 06729 09549789 90371 26688 057
In 1.0'XXXX
0^200 09999 79979 99519999 79959 98029999 79939 95539999 79919 92049999 79899 87559999 79879 82069999 79859 75579999 79839 68089999 79819 59599999 79799 5000'^201 09999 79779 39519999 79759 28029999 79739 15539999 79719 02049999 79698 87559999 79678 72069999 79658 55579999 79638 38089999 79618 19599999 79598 000
,0''202 09999 79577 79519999 79557 58029999 79537 35539999 79517 12049999 79496 87559999 79476 62069999 79456 35579999 79436 08089999 79415 79599999 79395 500
.0'^203 09999 79375 19519999 79354 88029999 79334 55539999 79314 22049999 79293 87559999 79273 52069999 79253 15579999 79232 78089999 79212 39599999 79192 000
.
0''204 09999 79171 59519999 79151 18029999 79130 75539999 79110 32049999 79089 87559999 79069 42069999 79048 95579999 79028 48089999 79007 99599999 78987 500
SMITHSONIAN LOGARITHMIC TABLES
42 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 43
xxxx
44 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 45
xxxx
46 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 47
XXXX m XXXX In l.O^XXXX in 1.0'XXXX
2301 7.74109 90900 35365 87806 4782302 7.74153 35892 81827 95332 6642303 7.74196 78998 20685 19703 1662304 7.74240 20218 15781 85812 8352305 7.74283 59554 30748 89297 3492306 7.74326 97008 29004 33539 0812307 7.74370 32581 73753 66592 7602308 T. 74413 66276 27990 18031 1042309 7.74456 98093 54495 35710 6622310 7.74500 28035 15839 22458 0532311 7.74543 56102 74380 72676 8172312 7.74586 82297 82268 08875 0772313 7.74630 06622 31439 18114 2282314 7.74673 29077 53621 88378 8542315 7.74716 49665 20334 44868 0612316 7.74759 68386 92885 86208 4642317 7.74802 85244 32376 20588 9972318 7.74846 00238 99697 01817 7652319 7.74889 13372 55531 65301 1402320 7.74932 24646 60355 63945 2962321 7.74975 34062 74437 03980 3902322' 7.75018 41622 57836 80707 5812323 7.75061 47327 70409 14169 0952324 7.75104 51179 71801 84741 5292325 7.75147 53180 21456 68652 5932326 7.75190 53330 78609 73421 4902327 7.75233 51633 02291 73223 1292328 7.75276 48088 51328 44176 3662329 7.75319 42698 84340 99556 4722330 7.75362 35465 59746 24932 0222331 7.75405 26390 35757 13226 3942332 7.75448 15474 70382 99704 0882333 7.75491 02720 21429 96882 0352334 7.75533 88128 46501 29366 1102335 7.75576 71701 02997 68613 0292336 7.75619 53439 48117 67617 8272337 7.75662 33345 38857 95527 1042338 7.75705 11420 32013 72178 2342339 7.75747 87665 84179 02564 7252340 7.75790 62083 51747 11227 9202341234223432344234523462347234823492350
7.75833 34674 90910 76575 2237.75876 05441 57662 65125 0477.75918 74385 07795 65678 6647.75961 41506 96903 23419 1547.76004 06808 80379 73937 6187.76046 70292 13420 77186 8767.76089 31958 51023 51362 7987.76131 91809 47987 06713 4767.76174 49846 58912 79276 4257.76217 06071 38204 64543 970
,0^23 00735 31055 25827 59901735 08045 55395 95202734 85025 85424 54603734 61996 15913 58104734 38956 46863 25705734 15906 78273 77406733 92847 10145 33107733 69777 42478 12908733 46697 75272 36709733 23608 08528 244
.0^23 10733 00508 42245 96211732 77398 76425 72012732 54279 11067 71713732 31149 46172 15414732 08009 81739 23115731 84860 17769 14616731 61700 54262 10117731 38530 91218 29518731 15351 28637 92719730 92161 66521 199
.0^23 20730 68962 04868 30821730 45752 43679 45722730 22532 82954 84323729 99303 22694 66824729 76063 62899 13125729 52814 03568 43226729 29554 44702 77027729 06284 86302 34628728 83005 28367 36029728 59715 70898 010
.0^23 30728 36416 13894 49831728 13106 57357 02332727 89787 01285 78533727 66457 45680 98434727 43117 90542 81935727 19768 35871 49136726 96408 81667 19937726 73039 27930 14438726 49659 74660 52439726 26270 21858 541
.0^23 40726 02870 69524 39341725 79461 17658 28042725 56041 66260 40443725 32612 15330 96244725 09172 64870 15645724 85723 14878 18546724 62263 65355 24947724 38794 16301 54848724 15314 67717 28149723 91825 19602 649
0''230 09999 73526 99519999 73503 98029999 73480 95539999 73457 92049999 73434 87559999 73411 82069999 73388 75579999 73365 68089999 73342 59599999 73319 5000'^231 09999 73296 39519999 73273 28029999 73250 15539999 73227 02049999 73203 87559999 73180 72069999 73157 55579999 73134 38089999 73111 19599999 73088 0000''232 09999 73064 79519999 73041 58029999 73018 35539999 72995 12049999 72971 87559999 72948 62069999 72925 35579999 72902 08089999 72878 79599999 72855 500
o'^233 09999 72832 19519999 72808 88029999 72785 55539999 72762 22049999 72738 87559999 72715 52069999 72692 15579999 72668 78089999 72645 39599999 72622 0000''234 09999 72598 59519999 72575 18029999 72551 75539999 72528 32049999 72504 87559999 72481 42069999 72457 95579999 72434 48089999 72410 99599999 72387 500
SMITHSONIAN LOGARITHMIC TABLES
48 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 49
xxxx
50 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 51
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 53
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 55
xxxx
56 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 57
xxxx
58 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 59
xxxx
60 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In l.O^XXXX In 1.0'XXXX
29512952295329542955295629572958295929602961296229632964296529662967296829692970297129722973297429752976297729782979298029812982298329842985298629872988298929902991299229932994299529962997299829993000
7.98989 93749 42939 41106 6877.99023 81857 20363 11490 8957.99057 68817 43922 66885 0697.99091 54630 91325 11026 4547.99125 39298 40198 57277 5807.99159 22820 68092 39305 1627.99193 05198 52477 21740 9467.99226 86432 70745 10824 5287.99260 66524 00209 65028 1907.99294 45473 18106 05663 7787.99328 23281 01591 27471 6797.99361 99948 27744 09191 9067.99395 75475 73565 24117 3497.99429 49864 15977 50629 2227.99463 23114 31825 82714 7387.99496 95226 97877 40467 0477.99530 66202 90821 80567 4847.99564 36042 87271 06750 1527.99598 04747 63759 80248 8757.99631 72317 96745 30226 5677.99665 38754 62607 64187 0437.99699 04058 37649 78369 3087.99732 68229 98097 68124 3707.99766 31270 20100 38274 5917.99799 93179 79730 13455 6417.99833 53959 52932 48441 0577.99867 13610 15776 38449 4727.99900 72132 43954 29434 5277.99934 29527 13282 28357 5117.99967 85794 99450 13442 7658.00001 40936 78071 44415 8818.00034 94953 24083 72724 7288.00063 47845 14748 51743 3478.00101 99613 23651 46958 7438.00135 50258 26702 46140 6138.00168 99780 99135 69494 0398.00202 48182 16109 79795 1878.00235 95462 52707 92510 0438.00269 41622 83937 85896 2098.00302 86663 84732 11087 8238.00336 30586 29948 02163 5978.00369 73390 94367 86198 0418.00403 15078 52698 93295 8878.00436 55649 79573 66609 7568.00469 95105 49549 72341 0968.00503 33446 37110 09724 4228.00536 70673 16663 20994 9088.00570 06786 62543 01339 3438.00603 41787 49009 08830 4968.00636 75676 50246 74344 922
.0^29 505G4 66559 26832 49451564 37052 97710 68852564 07536 69179 02053563 78010 41237 69154563 48474 13886 90055563 18927 87126 84756562 89371 60957 73357562 59805 35379 75658562 30229 10393 11659562 00642 85998 014
.0^29 60561 71046 62194 65061561 41440 38983 22262561 11824 16363 93163560 82197 94336 97764560 52561 72902 56065560 22915 52060 87966559 93259 31812 13467559 63593 12156 52568559 33916 93094 25269559 04230 74625 515
.0^29 70558 74534 56750 51371558 44828 39469 44672558 15112 22782 51573557 85386 06689 91874557 55649 91191 85675557 25903 76288 52976556 96147 61980 13677556 66381 48266 87878556 36605 35148 95379556 06819 22626 563
,0^29 80555 77023 10699 90681555 47216 99369 18282555 17400 88634 59283554 87574 78496 33584554 57738 68954 61185554 27892 60009 62086553 98036 51661 56287553 68170 43910 63688553 38294 36757 04289553 08408 30200 980
,0^29 90552 78512 24242 65091552 48606 18882 25292552 18690 14119 98693551 88764 09956 05094551 58828 06390 64695551 28882 03423 97396550 98926 01056 23197550 68959 99287 62098550 38983 98118 33999550 08997 97548 588
.0'295 09999 56457 99619999 56428 48129999 56398 95639999 56369 42149999 56339 87659999 56310 32169999 56280 75679999 56251 18189999 56221 59699999 56192 001
.0''296 09999 56162 39619999 56132 78129999 56103 15639999 56073 52149999 56043 87659999 56014 22169999 55984 55679999 55954 88189999 55925 19699999 55895 501
.0^297 09999 55865 79619999 55836 08129999 55806 35639999 55776 62149999 55746 87659999 55717 12169999 55687 35679999 55657 58189999 55627 79699999 55598 001
o'^298 09999 55568 19619999 55538 38129999 55508 55639999 55478 72149999 55448 87659999 55419 02169999 55389 15679999 55359 28189999 55329 39699999 55299 5010''299 09999 55269 59619999 55239 68129999 55209 75639999 55179 82149999 55149 87659999 55119 92169999 55089 95679999 55059 98189999 55029 99699999 55000 001
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 61
xxxx
62 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 63
xxxx
64 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 65
xxxx
66 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 67
xxxx
68 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 69
xxxx
70 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 71
xxxx
72 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 7i
xxxx
74 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 75
xxxx
76 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 17
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 79
xxxx
80 LOGARITHMIC TABLES TO THE BASE e
xxxx In XXXX
3951 8.28172 39904 11390 73278 3703952 3.28197 70588 67758 43373 1443953 8.28223 00632 96685 51028 6123954 8.28248 30037 30562 22001 6353955 8.28273 58802 01754 24828 8243956 8.28298 86927 42602 73311 4063957 8.28324 14413 85424 28996 9453958 8.28349 41261 62511 03657 9333959 8.28374 67471 06130 61767 2493960 8.28399 93042 48526 22970 4893961 8.28425 17976 21916 64555 1763962 8.28450 42272 58496 23916 8573963 8.28475 65931 90435 01022 0853964 8.28500 88954 49878 60868 2913965 8.28526 11340 68948 35940 5643966 8.28551 33090 79741 28665 3173967 8.28576 54205 14330 13860 8783968 8.28601 74684 04763 41184 9793969 8.28626 94527 83065 37579 1693970 8.28652 13736 81236 09710 1423971 8.28677 32311 31251 46408 0003972 8.28702 50251 65063 21101 4333973 8.28727 67558 14598 94249 8463974 8.28752 34231 11762 15772 4223975 8.28778 00270 88432 27474 1233976 8.28803 15677 76464 65468 6503977 8.28828 30452 07690 62598 3483978 8.28853 44594 13917 50851 0743979 8.28878 58104 26928 63774 0253980 8.28903 70982 78483 38884 5343981 8.28928 83230 00317 20077 8403982 8.28953 94846 24141 60031 8263983 8.28979 05831 81644 22608 7543984 8.29004 16187 04488 85253 9653985 8.29029 25912 24315 41391 5853986 8.29054 35007 72740 02817 2213987 8.29079 43473 81355 02087 6503988 8.29104 51310 81728 94907 5193989 8.29129 58519 05406 62513 0513990 8.29154 65098 83909 14052 7623991 8.29179 71050 48733 88965 1953992 8.29204 76374 31354 59353 6793993 8.29229 81070 63221 32358 1083994 8.29254 85139 75760 52523 7563995 8.29279 88582 00375 04167 1243996 8.29304 91397 68444 13738 8303997 8.29329 93587 11323 52183 5323998 8.29354 95150 60345 37296 9173999 8.29379 96088 46818 36079 7254000 8.29404 96401 02027 67088 844
In l.O-'XXXX
.0^39 50219 68547 80792 64851219 29048 41611 12452218 89539 03219 53153218 50019 65618 07054218 10490 28806 94155217 70950 92786 34256217 31401 57556 47457216 91842 23117 53658216 52272 89469 72959216 12693 56613 252
.0^39 60215 73104 24548 30561215 33504 93275 08762214 93895 62793 79963214 54276 33104 63964214 14647 04207 80965213 75007 76103 50766213 35358 48791 93367212 95699 22273 28868212 56029 96547 77069212 16350 71615 580
.0^39 70211 76661 47476 91871211 36962 24131 98372210 97253 01580 97473210 57533 79824 09374210 17804 58861 53875209 78065 38693 50976209 38316 19320 20677208 98557 00741 82978208 58787 82958 57779208 19008 65970 651
.0^39 80207 79219 49778 25081207 39420 34381 57382206 99611 19780 82183206 59792 05976 19484206 19962 92967 89085205 80123 80756 11186205 40274 69341 05487205 00415 58722 92288204 60546 48901 91289204 20667 39878 226
.0^39 90203 80778 31652 06191203 40879 24223 62092203 00970 17593 10093202 61051 11760 70394202 21122 06726 62795201 81183 02491 07396201 41233 99054 24097201 01274 96416 32798200 61305 94577 53699200 21326 93538 065
m 1.0'XXXX
0*^395 09999 21947 99719999 21908 48229999 21868 95739999 21829 42249999 21789 87759999 21750 32269999 21710 75779999 21671 18289999 21631 59799999 21592 002
o''396 09999 21552 39719999 21512 78229999 21473 15739999 21433 52249999 21393 87759999 21354 22269999 21314 55779999 21274 88289999 21235 19799999 21195 502
.0''397 09999 21155 79719999 21116 08229999 21076 35739999 21036 62249999 20996 87759999 20957 12269999 20917 35779999 20877 58289999 20837 79799999 20798 002
.0''398 09999 20758 19719999 20718 38229999 20678 55739999 20638 72249999 20598 87759999 20559 02269999 20519 15779999 20479 28289999 20439 39799999 20399 502
.0''399 09999 20359 59719999 20319 68229999 20279 75739999 20239 82249999 20199 87759999 20159 92269999 20119 95779999 20079 98289999 20039 99799999 20000 002
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 81
XXXX In XXXX
40014002400340044005400640074008400940104011401240134014401540164017401840194020402140224023402440254026402740284029403040314032403340344035403640374038403940404041404240434044404540464047404840494050
8.29429 96088 57235 02785 4548.29454 95151 43678 71880 2508.29479 93589 92573 61675 7238.29504 91404 35111 20405 5258.29529 88595 02459 59570 9078.29554 85162 25763 56274 2448.29579 81106 36144 55549 6488.29604 76427 64700 72690 6698.29629 71126 42506 95575 0988.29654 65203 00614 86986 8678.29679 58657 70052 86935 0558.29704 51490 81826 14970 0058.29729 43702 66916 72496 5558.29754 35293 56283 45084 3838.29779 26263 80862 04775 4818.29804 16613 71565 12388 7518.29829 06343 59282 19821 7338.29853 95453 74879 72349 4708.29878 83944 49201 10920 5108.29903 71816 13066 74450 0548.29928 59068 97274 02110 2548.29953 45703 32597 35617 6588.29978 31719 49788 21517 8168.30003 17117 79575 13467 0468.30028 01898 52663 74511 3628.30052 86061 99736 79362 5818.30077 69608 51454 16671 5898.30102 52538 38452 91298 7968.30127 34851 91347 26581 7738.30152 16549 40728 66600 0648.30176 97631 17165 78437 2068.30201 78097 51204 54439 9248.30226 57948 73368 14474 5418.30251 37185 14157 08180 5858.30276 15807 04049 17221 5968.30300 93814 73499 57533 1598.30325 71208 52940 81568 1388.30350 47988 72782 80539 1398.30375 24155 63412 86658 1938.30399 99709 55195 75373 6658.30424 74650 78473 67604 4018.30449 48979 63566 31971 1038.30474 22696 40770 87024 9488.30498 95801 40362 03473 4588.30523 68294 92592 06403 6018.30548 40177 27690 77502 1658.30573 11448 75865 57273 3738.30597 82109 67301 47253 7628.30622 52160 32161 12224 3378.30647 21601 00584 82419 973
In l.O^'XXXX
.0^40 00199 81337 93298 11401199 41338 93857 88402199 01329 95217 57303198 61310 97377 38204198 21282 00337 50905197 8124306197 4119407197 0113508196 6106609196 20987
04098 15608659 52214021 80720185 20927149 930
.0^40 10195 80898 34916 16911195 40799 43484 12512195 00690 52853 99913194 60571 63025 99014194 20442 74000 29715193 80303 85777 12216193 40154 98356 66217192 99996 11739 11918192 59827 25924 69219192 19648 40913 581
.0^40 20191 79459 56705 98521191 39260 73302 10422190 99051 90702 13823190 58833 08906 28724190 18604 27914 750
m 1.0^ XXXX
25189 7836526189 3811627188 9785728188 5758929188 17310
47727 72868345 42089768 02511995 74435028 776
.0^40 30187 77021 58867 32131187 36722 83511 57932186 96414 08961 75033186 56095 35218 03334186 15766 62280 62835185 75427 90149 73436185 35079 18825 55337184 94720 48308 28238184 54351 78598 12339184 13973 09695 275
.0^40 40183 73584 41599 93741183 33185 74312 31042182 92777 07832 59243182 52358 42160 98544182 11929 77297 68745181 71491 13242 89946181 31042 49996 82047180 90583 87559 65048180 50115 25931 58849180 09636 65112 835
0'400 09999 19959 99719999 19919 98229999 19879 95739999 19839 92249999 19799 87759999 19759 82269999 19719 75779999 19679 68289999 19639 59799999 19599 502
,o'^401 09999 19559 39719999 19519 28229999 19479 15739999 19439 02249999 19398 87759999 19358 72269999 19318 55779999 19278 38289999 19238 19799999 19198 0020*^402 09999 19157 79719999 19117 58229999 19077 35739999 19037 12249999 18996 87759999 18956 62269999 18916 35779999 18876 08289999 18835 79799999 18795 502
o''403 09999 18755 19719999 18714 88229999 18674 55739999 18634 22249999 18593 87759999 18553 52269999 18513 15779999 18472 78289999 18432 39799999 18392 002
,0'^404 09999 18351 59719999 18311 18229999 18270 75739999 18230 32249999 18189 87759999 18149 42269999 18108 95779999 18068 48289999 18027 99799999 17987 502
SMITHSONIAN LOGARITHMIC TABLES
82 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 83
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx m xxxx In LO'^XXXX In 1.0'XXXX
41514152415341544155415641574158415941604161416241634164416541664167416841694170417141724173417441754176417741784179418041814182418341844185418641874188418941904191419241934194419541964197419841994200
8.33110 45480 53038 75765 1978.33134 54248 45724 56658 0448.33158 62436 30753 53882 9428.33182 70044 36057 61501 6478.33206 77072 89548 56586 5408.33230 83522 19118 01162 1468.33254 89392 52637 44144 3068.33278 94684 17958 23277 0268.33302 99397 42911 67066 9938.33327 03532 55308 96715 7648.33351 07089 82941 28049 6388.33375 10069 53579 73447 2068.33399 12471 94975 43764 5848.33423 14297 34859 50258 3398.33447 15546 00943 06506 1008.33471 16218 20917 30324 8718.33495 16314 22453 45687 0348.33519 15834 33202 84634 0598.33543 14778 80796 89187 9188.33567 13147 92847 13260 2028.33591 10941 96945 24558 9568.33615 08161 20663 06493 2258.33639 04805 91552 60075 3138.33663 00876 37146 05820 7778.33686 96372 84955 85646 1278.33710 91295 62474 64764 2698.33734 85644 97175 33577 6708.33758 79421 16511 09569 2608.33782 72624 47915 39191 0728.33806 65255 18801 99750 6198.33830 57313 56565 01295 0238.33854 48799 88578 88492 8788.33878 39714 42198 42513 8778.33902 30057 44758 82906 1848.33926 19829 23575 69471 5668.33950 09030 05945 04138 2838.33973 97660 19143 32831 7418.33997 85719 90427 47342 9198.34021 73209 47034 87194 5508.34045 60129 16183 41505 0938.34069 46479 25071 50850 4638.34093 32260 00878 09123 5588.34117 17471 70762 65391 5558.34141 02114 61865 25750 9958.34164 86189 01306 55180 6598.34188 69695 16187 79392 2368.34212 52633 33590 86678 7828.34236 35003 80578 29760 9808.34260 16806 84193 27631 2058.34283 98042 71459 67395 381
.0-'41 50138 69829 26493 51051138 28331 49273 53252137 86823 72883 43653137 45305 97323 42354137 03778 22593 69355136 62240 48694 44556136 20692 75625 87957135 79135 03388 19658135 37567 31981 59359134 95989 61406 272
.0^41 60134 54401 91662 43361134 12804 22750 27462133 71196 54669 99663133 29578 87421 79864132 87951 21005 88065132 46313 55422 44266132 04665 90671 68467131 63008 26753 80568131 21340 63669 00569130 79663 01417 484
.0^41 70130 37975 39999 44271129 96277 79415 07872129 54570 19664 59273129 12852 60748 18474128 71125 02666 05475128 29387 45418 40176127 87639 89005 42577127 45882 33427 32678127 04114 78684 30479126 62337 24776 558
.0^41 80126 20549 71704 28881125 78752 19467 69482125 36944 68066 97683124 95127 17502 33384124 53299 67773 96585124 11462 18882 07286123 69614 70826 85487123 27757 23608 51088122 85889 77227 24089122 44012 31683 244
,0^41 90122 02124 86976 72291121 60227 43107 87392121 18320 00076 89793120 76402 57883 99494120 34475 16529 36395119 92537 76013 20596119 50590 36335 71997119 08632 97497 10598118 66665 59497 56299118 24688 22337 291
.0'415 09999 13845 99719999 13804 48229999 13762 95739999 13721 42249999 13679 87759999 13638 32269999 13596 75779999 13555 18289999 13513 59799999 13472 002
.0'^416 09999 13430 39719999 13388 78229999 13347 15739999 13305 52249999 13263 87759999 13222 22269999 13180 55779999 13138 88289999 13097 19799999 13055 502
.0^417 09999 13013 79719999 12972 08229999 12930 35739999 12888 62249999 12846 87759999 12805 12269999 12763 35779999 12721 58289999 12679 79799999 12638 002
.0^418 09999 12596 19719999 12554 38229999 12512 55739999 12470 72249999 12428 87759999 12387 02269999 12345 15779999 12303 28289999 12261 39799999 12219 5020"'418 09999 12177 59719999 12135 68229999 12093 75739999 12051 82249999 12009 87759999 11967 92269999 11925 95779999 11883 98289999 11841 99799999 11800 002
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 85
xxxx
86 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 87
xxxx
LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 89
xxxx
90 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 91
xxxx
92 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 93
xxxx
94 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 95
xxxx
96 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 97
xxxx
98 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 99
xxxx
100 LOGARITHMIC TABLES TO THE BASE e
xxxx In XXXX m i.o^xxxx in 1.0'XXXX
49514952495349544955495649574958495949604961496249634964496549664967496849694970497149724973497449754976497749784979498049814982498349844985498649874988498949904991499249934994499549964997499849995000
8.50734 48553 61423 05274 7928.50754 68143 64432 03047 9738.50774 87325 88237 70049 6178.50795 06100 49304 86696 5328.50815 24467 64088 36444 9218.50835 42427 49033 06595 1118.50855 59980 20573 89095 4768.50875 77125 95135 81345 5408. 50895 93864 89133 86998 2798.50916 10197 18973 16761 6088.50936 26123 01048 89199 0658.50956 41642 51746 31529 6828. 50976 56755 87440 80427 0558.50996 71463 24497 82817 6118.51016 85764 79272 96678 0628.51036 99660 68111 91832 0678.51057 13151 07350 50746 0828.51077 26236 13314 69324 4188.51097 38916 02320 57703 4928.51117 51190 90674 41045 2808. 51137 63060 94672 60329 9778.51157 74526 30601 73147 8548.51177 35587 14738 54490 3208.51197 96243 63349 97540 1928.51218 06495 92693 14461 1648.51238 16344 19015 37186 4928. 51258 25788 58554 18206 8798.51278 34829 27537 31357 5688.51298 43466 42182 72604 6548.51318 51700 18698 60830 5948.51338 59530 73283 38618 9378.51358 66958 22125 73038 2658.51378 73982 81404 56425 3438.51398 80604 67289 07167 4868.51418 86823 95938 70484 1478.51438 92640 83503 19207 7128.51458 98055 46122 54563 5108.51479 03067 99927 06949 0588.51499 07678 61037 36712 5058.51519 11887 45564 34930 3088.51539 15694 69609 24184 1278.51559 19100 49263 59336 9368.51579 22105 00009 28308 3648.51599 24708 39718 52849 2568.51619 26910 82653 89315 4598.51639 28712 45468 29440 8358.51659 30113 44205 01109 4958.51679 31113 94897 69127 2728.51699 31714 13570 35992 4068.51719 31914 16237 42665 473
.0''49 49774 78433 61695 25050774 28943 12217 10851773 79442 63728 63052773 29932 16230 01753772 80411 69721 46854772 30881 24203 18355771 81340 79675 36156771 31790 36138 20357770 82229 93591 90858770 32659 52036 676
.0^49 59769 83079 11472 70660769 33488 71900 19861768 83888 33319 35262768 34277 95730 36863767 84657 59133 44564767 35027 23528 78265766 85386 88916 58166766 35736 55297 04067765 86076 22670 35968765 36405 91036 737
.0^49 69764 86725 60396 37570764 37035 30749 47371763 87335 02096 22972763 37624 74436 84373762 87904 47771 51674762 38174 22100 44775761 88433 97423 83676761 38683 73741 88277760 88923 51054 78578760 39153 29362 745
.0^49 79759 89373 08665 96180759 39582 88964 63481758 89782 70258 96282758 39972 52549 14683757 90152 35835 38684757 40322 20117 88085756 90482 05396 82986756 40631 91672 43287755 90771 78944 89088755 40901 67214 401
.0^49 89754 91021 56481 16690754 41131 46745 38491753 91231 38007 25592753 41321 30266 97893752 91401 23524 75494752 41471 17780 78195751 91531 13035 26196751 41581 09288 39297750 91621 06540 37498750 41651 04791 406
.0'495 09998 77437 99919998 77388 48429998 77338 95939998 77289 42449998 77239 87959998 77190 32469998 77140 75979998 77091 18489998 77041 59999998 76992 004
.o''496 09998 76942 39919998 76892 78429998 76843 15939998 76793 52449998 76743 87959998 76694 22469998 76644 55979998 76594 88489998 76545 19999998 76495 504
.0''497 09998 76445 79919998 76396 08429998 76346 35939998 76296 62449998 76246 87959998 76197 12469998 76147 35979998 76097 58489998 76047 79999998 75998 004
.0^498 09998 75948 19919998 75898 38429998 75848 55939998 75798 72449998 75748 87959998 75699 02469998 75649 15979998 75599 28489998 75549 39999998 75499 504
.0^499 09998 75449 59919998 75399 68429998 75349 75939998 75299 82449998 75249 87959998 75199 92469998 75149 95979998 75099 98489998 75049 99999998 75000 004
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 101
xxxx
102 LOGARITHMIC TABLES TO THE BASE e
xxxx In XXXX In l.O-'XXXX m 1.0'xxxx
50515052505350545055
8.52734 15224 68052 57544 7558.52753 94834 70381 72781 8438.52773 74052 91908 57999 4108.52793 52879 48139 53454 0648.52813 31314 54571 79050 0875056 8.52833 09358 26693 35067 6345057 8.52852 87010 79983 02890 2115058505950605061506250635064506550665067506850695070507150725073507450755076507750785079508050815082508350845085508650875088508950905091509250935094509550965097509850995100
8.52872 64272 29910 45731 4368.52892 41142 91936 09361 0818.52912 17622 81511 22830 3928.52931 93712 14077 99196 7018.52951 69411 05069 36247 3138.52971 44719 69909 17222 6868.52991 19638 24012 11538 8908. 53010 94166 82783 75509 3578.53030 68305 61620 53065 9198.53050 42054 75909 76479 1338.53070 15414 41029 67077 8908.53089 88384 72349 35968 3298.53109 60965 85228 84752 0218.53129 33157 95019 06243 4678.53149 04961 17061 85186 8698.53168 76375 66689 98972 2098.53188 47401 59227 18350 6128.53208 18039 09988 08149 0148.53227 88288 34278 27984 1158.53247 58149 47394 32975 6378.53267 27622 64623 74458 8788.53286 96708 01245 00696 5628.53306 65405 72527 57589 9908.53326 33715 93731 89389 4908.53346 01638 80109 39404 1728.53365 69174 46902 50710 9778.53385 36323 09344 66863 0398.53405 03084 82660 32597 3388.53424 69459 82064 94541 6698.53444 35448 22765 01920 9078.53464 01050 19958 07262 5878.53483 66265 88832 67101 7808. 53503 31095 44568 42685 2868.53522 95539 02336 00675 1268.53542 59596 77297 13851 3568.53562 23268 84604 61814 1798.53581 86555 39402 31685 3718.53601 49456 56825 18809 0238.53621 11972 51999 27451 5898.53640 74103 40041 71501 2548.53660 35849 36060 75166 6118.53679 97210 55155 73674 6518.53699 58187 12417 13968 076
.0^50 49724 79933 45013 59750724 29443 95490 45751723 78944 46976 95252723 28434 99473 28153722 77915 52979 64554722 27386 07496 24255721 76846 63023 27456721 26297 19560 93857720 75737 77109 43558720 25168 35668 966
.0^50 59719 74588 95239 72860719 23999 55821 92361718 73400 17415 74962718 22790 80021 40763717 72171 43639 09664717 21542 08269 01665716 70902 73911 36766716 20253 40566 34867715 69594 08234 15968715 18924 76914 999
.0^50 69714 68245 46609 06970714 17556 17316 56871713 66856 89037 69672713 16147 61772 65273712 65428 35521 63774712 14699 10284 84975711 63959 86062 48976711 13210 62854 75677710 62451 40661 85078710 11682 19483 970
.0^50 79709 60902 99321 31780709 10113 80174 09081708 59314 62042 48982708 08505 44926 71383707 57686 28826 96284707 06857 13743 43785706 56017 99676 33586706 05168 86625 85887705 54309 74592 20488705 03440 63575 575
.0^50 89704 52561 53576 16890704 01672 44594 18591703 50773 36629 82492702 99864 29683 28593702 48945 23754 76994701 98016 18844 47495701 47077 14952 60196700 96128 12079 34997700 45169 10224 91898699 94200 09389 507
.0'^505 09998 72436 99919998 72386 48429998 72335 95939998 72285 42449998 72234 87959998 72184 32469998 72133 75979998 72083 18489998 72032 59999998 71982 004
.0*^506 09998 71931 39919998 71880 78429998 71830 15939998 71779 5244999S 71728 87959998 71678 22469998 71627 55979998 71576 88489998 71526 19999998 71475 504
.0''507 09998 71424 79919998 71374 08429998 71323 35939998 71272 62449998 71221 87959998 71171 12469998 71120 35979998 71069 58489998 71018 79999998 70968 004
.0''508 09998 70917 19919998 70866 38429998 70815 55939998 70764 72449998 70713 87959998 70663 02469998 70612 15979998 70561 28489998 70510 39999998 70459 504
.0''509 09998 70408 59919998 70357 68429998 70306 75939998 70255 82449998 70204 87959998 70153 92469998 70102 95979998 70051 98489998 70000 99999998 69950 004
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 103
xxxx
104 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 105
xxxx
10(3 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 107
xxxx
108 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 109
xxxx
no LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 111
xxxx
112 LOGARITHMIC TABLES TO THE BASE e
xxxx In XXXX In l.O^XXXX In 1.0'XXXX
55515552555355545555555655575558555955605561556255635564556555665567556855695570557155725573557455755576557755785579558055815582558355845585558655875588558955905591559255935594559555965597559855995600
8.62173 33706 90161 28991 0238.62191 35021 86640 43002 2618.62209 36012 41607 19678 8068.62227 36678 66744 85756 4618.62245 37020 73730 36954 6908.62263 37038 74234 38430 9568.62281 36732 79921 25234 6488.62299 36103 02449 02760 6028.62317 35149 53469 47202 2108.62335 33872 44628 06004 1248.62353 32271 87563 98314 5548.62371 30347 93910 15437 1578.62389 28100 75293 21282 5198.62407 25530 43333 52819 2358.62425 22637 09645 20524 5838. 62443 19420 85836 08834 7878.62461 15881 83507 76594 8878.62479 12020 14255 57508 1918.62497 07835 89668 60585 3378.62515 03329 21329 70592 9428.62532 98500 20815 48501 8538.62550 93348 99696 31934 9948.62568 87875 69536 35614 8148.62586 82080 41893 51810 3278.62604 75963 28319 50783 7628.62622 69524 40359 81236 7998.62640 62763 89553 70756 4168.62658 55681 87434 26260 3313.62676 48278 45528 34442 0458.62694 40553 75356 62215 4888.62712 32507 88433 57159 2668.62730 24140 96267 47960 5108.62748 15453 10360 44858 3238.62766 06444 42208 40086 8418.62783 97115 03301 08317 8848.62801 87465 05122 07103 2218.62819 77494 59148 77316 4338.62837 67203 76852 43594 3858.62855 56592 69698 14778 2988.62873 45661 49144 84354 4328.62891 34410 26645 30894 3728.62909 22839 13646 18494 9178.62927 10948 21587 97217 5848.62944 98737 61905 03527 7118.62962 86207 46025 60733 1748.62980 73357 85371 79422 7038.62998 60188 91359 57903 8208.63016 46700 75398 82640 3728.63034 32893 48893 28689 6818.63052 18767 23240 60139 303
.0^55 49459 88986 70063 64050459 33502 50868 89751458 78008 32183 63152458 22504 14608 04053457 66989 98142 32454457 11465 82786 68355456 55931 68541 31756456 00387 55406 42557455 44833 43382 20758454 89269 32468 862
.0^55 59454 33695 22666 59160453 78111 13975 59361453 22517 06396 06762452 66912 99928 21463452 11298 94572 23364451 55674 90328 32365451 00040 87196 68566450 44396 85177 51767449 88742 84271 02068449 33078 84477 394
.0^55 69448 77404 85796 83770448 21720 88229 55071447 66026 91775 73272447 10322 96435 58373446 54609 02209 30374445 98885 09097 09175445 43151 17099 14776444 87407 26215 67177444 31653 36446 86278443 75889 47792 919
.0^55 79443 20115 60254 04480442 64331 73830 43481442 08537 88522 29182441 52734 04329 81383440 96920 21253 20184440 41096 39292 65385439 85262 58448 37086439 29418 78720 55187438 73565 00109 39688438 17701 22615 105
.0^55 89437 61827 46237 87790437 05943 70977 91291436 50049 96835 41092435 94146 23810 56993435 38232 51903 59194434 82308 81114 67495434 26375 11444 01996433 70431 42891 82497433 14477 75458 29098432 58514 09143 616
.0'555 09998 45932 00119998 45876 48629998 45820 96139998 45765 42649998 45709 88159998 45654 32669998 45598 76179998 45543 18689998 45487 60199998 45432 006
.0''556 09998 45376 40119998 45320 78629998 45265 16139998 45209 52649998 45153 88159998 45098 22669998 45042 56179998 44986 88689998 44931 20199998 44875 506
.0*^557 09998 44819 80119998 44764 08629998 44708 36139998 44652 62649998 44596 88159998 44541 12669998 44485 36179998 44429 58689998 44373 80199998 44318 006
.0''558 09998 44262 20119998 44206 38629998 44150 56139998 44094 72649998 44038 88159998 43983 02669998 43927 16179998 43871 28689998 43815 40199998 43759 506
.0*^559 09998 43703 60119998 43647 68629998 43591 76139998 43535 82649998 43479 88159998 43423 92669998 43367 96179998 43311 98689998 43256 00199998 43200 006
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 113
xxxx
114 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 115
XXXX
570157025703570457055706570757085709571057115712571356145715571657175718571957205721572257235724572557265727572857295730573157325733573457355736573757385739
m XXXX
8.64839 68770 31581 86534 8798.64857 22694 72617 30205 1958.64874 76311 56538 85283 6288.64892 29620-94131 86498 7618.64909 82622 96176 01377 1048.64927 35317 73445 30640 7488.64944 87705 36708 08604 6708.64962 39785 96727 03573 6878.64979 91559 64259 18239 0698.64997 43026 50055 90074 7968.65014 94186 64862 91733 4758.65032 45040 1942 31441 9068.65049 95587 24462 53396 3078.65067 45827 90718 38157 1858.65084 95762 28911 03043 8698.65102 45390 49758 02528 6968.65119 94712 63971 28630 8478.65137 43728 82257 11309 8498.65154 92439 15316 18858 7228.65172 40843 73843 58296 7898.65189 88942 68528 75762 1398.65207 36736 10055 56903 7528.65224 84224 09102 27273 2778.65242 31406 76341 52716 4678.65259 78284 22440 39764 2758.65277 24856 58060 36023 6118.65294 71123 93857 30567 7478.65312 17086 40481 54326 3968.65329 62744 08577 80475 4408.65347 08097 08785 24826 3198.65364 53145 51737 46215 0848.65381 97889 48062 46891 1108.65399 42329 08382 72905 4688.65416 86464 43315 14498 9578.65434 30295 63471 06489 8028.65451 73822 79456 28661 Oil8.65469 17046 01871 06147 3948.65486 59965 41310 09822 2508.65504 02581 08362 56683 706
In l.O^XXXX
5740 8.65521 44893 13612 10240 7345741574257435744574557465747574857495750
8.65538 86901 67636 80898 8188.65556 28606 81009 26345 2948.65573 70008 64296 51934 3528.65591 11107 28060 11071 7028.65608 51902 82856 05598 9068.65625 92395 39234 86177 3748.65643 32585 07741 52672 0308.65660 72471 98915 54534 6398.65678 12056 23290 91186 8038.65695 51337 91396 12402 626
.0^56 99375 54732 09921 234
.0^57 00374 97749 58779 13101374 40757 08776 45302373 83754 59913 40103373 26742 12190 17304372 69719 65606 96905372 12687 20163 99006371 55644 75861 43407370 98592 32699 50108370 41529 90678 391
.0^57 09369 84457 49798 30410369 27375 10059 43911368 70282 71461 99612368 13180 34006 17513367 56067 97692 17514366 98945 62520 19615366 41813 2849 43716365 84670 95603 09917365 27518 63858 38118364 70356 33256 482
.0^57 19364 13184 03797 60220363 56001 75481 94121362 98809 48309 69922362 41607 22281 07423361 84394 97396 26824361 27172 73655 47925360 69940 51058 90726360 12698 29606 75227359 55446 09299 21428358 98183 90136 492
.0^57 29358 40911 72118 78530357 83629 55246 29431357 26337 39519 21832356 69035 24937 75633356 11723 11502 10934355 54400 99212 47635354 97068 88069 05736354 39726 78072 05137353 82374 69221 65838353 25012 61518 078
.0^57 39352 67640 54961 51040352 10258 49552 15441351 52866 45290 21042350 95464 42175 87743350 38052 40209 35544349 80630 39390 84445349 23198 39720 54346348 65756 41198 65147348 08304 43825 37048347 50842 47600 897
In 1.0'XXXX
. 0''570 09998 37493 00119998 37435 98629998 37378 96139998 37321 92649998 37264 88159998 37207 82669998 37150 76179998 37093 68689998 37036 60199998 36979 5060*^571 09998 36922 40119998 36865 28629998 36808 16139998 36751 02649998 36693 88159998 36636 72669998 36579 56179998 36522 38689998 36465 20199998 36408 006
,0''572 09998 36350 80119998 36293 58629998 36236 36139998 36179 12649998 36121 88159998 36064 62669998 36007 36179998 35950 08689998 35892 80199998 35835 506
.0^573 09998 35778 20119998 35720 88629998 35663 56139998 35606 22649998 35548 88159998 35491 52669998 35434 16179998 35376 78689998 35319 40199998 35262 006
.0^574 09998 35204 60119998 35147 18629998 35089 76139998 35032 32649998 34974 88159998 34917 42669998 34859 96179998 34802 48689998 34745 00199998 34687 506
SMITHSONIAN LOGARITHMIC TABLES
116 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In l.O-'XXXX In 1.0'XXXX
57515752575357545755575657575758575957605761576257635764576557665767576857695770577157725773577457755776577757785779578057815782578357845785578657875788578957905791579257935794579557965797579857995800
8.65712 90317 13754 18691 0448.65730 28994 00882 61677 8188.65747 67368 63293 44487 2098.65765 05441 11493 22123 3028.65782 43211 55983 01851 0178.65799 80680 07258 43576 7768.65817 17846 75809 60228 8478.65834 54711 72121 18137 3528.65851 91275 06672 37413 9498.65869 27536 89936 92331 1878.65886 63497 32383 11701 5228.65903 99156 44473 79256 0158.65921 34514 36666 34022 6918.65938 69571 19412 70704 5838.65956 04327 03159 40057 4348.65973 38781 98347 49267 0818.65990 72936 15412 62326 5058.66008 06789 64785 00412 5658.66025 40342 56889 42262 3908.66042 73595 02145 24549 4578.66060 06547 10966 42259 3398.66077 39198 93761 49065 1298.66094 71550 60933 57702 5348.66112 03602 22880 40344 6498.66129 35353 89994 28976 4068.66146 66805 72662 15768 6988.66163 97957 81265 53452 1798.66181 28810 26180 55690 7378.66198 59363 17777 97454 6538.66215 89616 66423 15393 4298.66233 19570 82476 08208 2968.66250 49225 76291 37024 3998.66267 78581 58218 25762 6638.66285 07638 38600 61511 3358.66302 36396 27776 94897 2068.66319 64855 36080 40456 5108.66336 93015 73838 77005 5068.66354 20877 51374 48010 7368.66371 48440 79004 61958 9698.66388 75705 67040 92726 8178.66406 02672 25789 79950 0398.66423 29340 65552 29392 5258.66440 55710 96624 13314 9578.66457 81783 29295 70843 1588.66475 07557 73852 08336 1188.66492 33034 40572 99753 7068.66509 58213 39732 87024 0648.66526 83094 81600 80410 6828.66544 07678 76440 58879 1608.66561 31965 34510 70463 649
.0''57 49346 93370 52525 43450346 35888 58599 17951345 78396 65822 33252345 20894 74195 09353344 63382 83717 66254344 05860 94390 23755343 48329 06213 02056342 90787 19186 20957342 33235 33310 00458341 75673 48584 605
.0^57 59341 18101 65010 21160340 60519 82587 02361340 02928 01315 23962339 45326 21195 05963338 87714 42226 68464338 30092 64410 31265337 72460 87746 14466337 14819 12234 37967336 57167 37875 21668335 99505 64668 856
.0^57 69335 41833 92615 49870334 84152 21715 34171334 26460 51968 58672333 68758 83375 43173333 11047 15936 07774332 53325 49650 72475331 95593 84519 57076331 37852 20542 81677330 80100 57720 66178330 22338 96053 305
.0^57 79329 64567 35540 94880329 06785 76183 78881328 48994 17982 02782327 91192 60935 86383327 33381 05045 49684326 75559 50311 12685326 17727 96732 95286325 59886 44311 17587325 02034 93045 99388324 44173 42937 606
.0^57 89323 86301 93986 21590323 28420 46192 01891322 70528 99555 21692322 12627 54076 00893321 54716 09754 59394320 96794 66591 17295320 38863 24585 94396319 80921 83739 10897319 22970 44050 86498318 65009 05521 413
.0*^575 09998 34630 00119998 34572 48629998 34514 96139998 34457 42649998 34399 88159998 34342 32669998 34284 76179998 34227 18689998 34169 60199998 34112 006
o''576 09998 34054 40119998 33996 78629998 33939 16139998 33881 52649998 33823 88159998 33766 22669998 33708 56179998 33650 88689998 33593 20199998 33535 506
,0''577 09998 33477 80119998 33420 08629998 33362 36139998 33304 62649998 33246 88159998 33189 12669998 33131 36179998 33073 58689998 33015 80199998 32958 006
.0''578 09993 32900 20119998 32842 38629998 32784 56139998 32726 72649998 32668 88159998 32611 02669998 32553 16179998 32495 28689998 32437 40199998 32379 506
.0''579 09998 32321 60119998 32263 68629998 32205 76139998 32147 82649998 32089 88159998 32031 92669998 31973 96179998 31915 98689998 31858 00299998 31800 007
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 117
xxxx
118 LOGARITHMIC TABLES TO THE BASE e
In XXXX In l.O-'XXXX In 1.0'XXXX
58515852585358545855585658575858585958605861586258635864586558665867586858695870587158725873587458755876587758785879588058815882588358845885588658875888588958905891589258935894589558965897589858995900
8.67436 78657 88236 10259 5128.67453 87621 40014 92801 0798.67470 96292 91220 90242 8378.67488 04672 51831 15852 5468.67505 12760 31817 71643 3998.67522 20556 41147 48723 2798.67539 28060 89782 27643 7028.67556 35273 87678 78748 4708.67573 42195 44788 62522 0258.67590 48825 71058 29937 5068.67607 55164 76429 22804 5098.67624 61212 70837 74116 5468.67641 66969 64215 08398 2198.67658 72435 66487 42052 0848.67675 77610 87575 83705 2298.67692 82495 37396 34555 5528.67709 87089 25859 88717 7468.67726 91392 62872 33568 9898.67743 95405 58334 50094 3388.67760 99128 22142 13231 8298.67778 02560 64185 92217 2878.67795 05702 94351 50928 8368.67812 08555 22519 48231 1188.67829 11117 58565 38319 2248.67846 13390 12359 71062 3238.67863 15372 93767 92347 0088.67880 17066 12650 44420 3448.67897 18469 78862 66232 6248.67914 19584 02254 93779 8368.67931 20408 92672 60445 8418.67948 20944 59955 97344 2508.67965 21191 13940 33660 0278.67982 21148 64455 96990 7818.67999 20817 21328 13687 7888.68016 20196 94377 09196 7108.68033 19287 93418 08398 0288.68050 18090 28261 35947 1908.68067 16604 08712 16614 4618.68084 14829 44570 75624 4978.68101 12766 45632 38995 6188.68118 10415 21687 33878 8038.68135 07775 82520 88896 3908.68152 04848 37913 34480 4938.68169 01632 97640 03211 1308.68185 98129 71471 30154 0678.68202 94338 69172 53198 3718.68219 90260 00504 13393 6798.68236 85893 75221 55287 1818.68253 81240 03075 27260 3218.68270 76298 93810 81865 203
,0^58 49288 95733 81754 52150288 37253 03757 37051287 78762 26929 59152287 20261 51271 38653286 61750 76782 95454286 03230 03464 49455285 44699 31316 20656284 86158 60338 28957284 27607 90530 94458283 69047 21894 370
.0^58 59283 10476 54428 76760282 51895 88134 33461281 93305 23011 27062281 34704 59059 77763280 76093 96280 05264280 17473 34672 29665279 58842 74236 70966279 00202 14973 49067278 41551 56882 83968277 82890 99964 955
.0^58 69277 24220 44220 03970276 65539 89648 28971276 06849 36249 90672275 48148 84025 08873274 89438 32974 03674274 30717 83096 95075273 71987 34394 02976273 13246 86865 47277272 54496 40511 47978271 95735 95332 251
.0^58 79271 36965 51327 98680270 78185 08498 88481270 19394 66845 14582269 60594 26366 96983269 01783 87064 55584268 42963 48938 10285267 84133 11987 81186267 25292 76213 88287266 66442 41616 51388266 07582 08195 904
.0^58 89265 48711 75952 25590264 89831 44885 76791264 30941 14996 63792263 72040 86285 06793263 13130 58751 25594262 54210 32395 40195261 95280 07217 70596261 36339 83218 36797260 77389 60397 58798260 18429 38755 563
.0''585 09998 28829 00219998 28770 48729998 28711 96239993 28653 42749998 28594 88259998 28536 32769998 28477 76279998 28419 18789998 28360 60299998 28302 007
.o'^586 09998 28243 40219998 28184 78729998 28126 16239998 28067 52749998 28008 88259998 27950 22769998 27891 56279998 27832 88789998 27774 20299998 27715 507
.0^587 09998 27656 80219998 27598 08729998 27539 36239998 27480 62749998 27421 88259998 27363 12769998 27304 36279998 27245 58789998 27186 80299998 27128 007
.0''588 09998 27069 20219998 27010 38729998 26951 56239998 26892 72749998 26833 88259998 26775 02769998 26716 16279998 26657 28789998 26598 40299998 26539 507
.0''589 09998 26480 60219998 26421 68729998 26362 76239998 26303 82749998 26244 88259998 26185 92769998 26126 96279998 26067 98789998 26009 00299998 25950 007
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 119
xxxx
120 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 121
xxxx
122 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In l.O^XXXX In 1.0'XXXX
60516052605360546055605660576058605960606061606260636064606560666067606860696070607160726073607460756076607760786079608060816082608360846085608660876088608960906091609260936094609560966097609360996100
8.70797 88266 22321 46378 3868.70814 40749 08246 53740 1818.70830 92958 91687 23647 0478.70847 44895 81663 95730 9608.70863 96559 87192 62663 9618.70880 47951 17284 70453 4028.70896 99069 80947 18736 9408.70913 49915 87182 61077 2948.70930 00489 44989 05256 7588.70946 50790 63360 13571 4678.70963 00819 51285 03125 4248.70979 50576 17748 46124 2878.70996 00060 71730 70168 9048.71012 49273 22207 58548 6168.71028 98213 78150 50534 3168.71045 46882 48526 41671 2598.71061 95279 42297 84071 6418.71078 43404 68422 86706 9328.71094 91258 35855 15699 9678.71111 38840 53543 94616 7968.71127 86151 30434 04758 3028.71144 33190 75465 85451 5648.71160 79958 97575 34340 9948.71177 26456 05694 07679 2288.71193 72682 08749 20617 7748.71210 18637 15663 47497 4338.71226 64321 35355 22138 4658.71243 09734 76738 38130 5298.71259 54877 48722 49122 3778.71275 99749 60212 69111 3188.71292 44351 20109 72732 4318.71308 88682 37309 95547 5538.71325 32743 20705 34334 0248.71341 76533 79183 47373 1938.71358 20054 21627 54738 6898.71374 63304 56916 38584 4578.71391 06284 93924 43432 5538.71407 48995 41521 76460 7078.71423 91436 08574 07789 6478.71440 33607 03942 70770 1868.71456 75508 36484 62270 0798.71473 17140 15052 42960 6398.71489 58502 48494 37603 1188.71505 99595 45654 35334 8578.71522 40419 15371 89955 1988.71538 80973 66482 20211 1618.71555 21259 07816 10082 8918.71571 61275 48200 09068 8648.71588 01022 96456 32470 8678.71604 40501 61402 61678 737
.0''60 49170 00813 15070 79650169 40334 74921 27051168 79846 35981 04752168 19347 98250 32653167 58839 61729 30654166 98321 26418 18755166 37792 92317 16856165 77254 59426 45057165 16706 27746 23258164 56147 97276 713
.0^60 59163 95579 68018 09460163 35001 39970 57361162 74413 13134 35162162 13814 87509 62763161 53206 63096 60164160 92588 39895 47165160 31960 17906 43966159 71321 97129 70467159 10673 77565 46568158 50015 59213 922
.0^60 69157 89347 42075 27470157 28669 26149 72271156 67981 11437 46472156 07282 97938 70173155 46574 85653 63274154 85856 74582 45675154 25128 64725 37476153 64390 56082 58577153 03642 48654 28978152 42884 42440 685
.0^60 79151 82116 37441 97280151 21338 33658 35281150 60550 31090 02282149 99752 29737 18483149 38944 29600 03584148 78126 30678 77785148 17298 32973 60986147 56460 36484 73087146 95612 41212 34088146 34754 47156 638
.0^60 89145 73886 54317 82590145 13008 62696 10091144 52120 72291 66292143 91222 83104 71193143 30314 95135 44894142 69397 08384 07095142 08469 22850 77996141 47531 38535 77397140 86583 55439 25398140 25625 73561 418
0'605 09998 16927 00219998 16866 48729998 16805 96239998 16745 42749998 16684 88259998 16624 32769998 16563 76279998 16503 18789998 16442 60299998 16382 007
.o''606 09998 16321 40219998 16260 78729998 16200 16239998 16139 52749998 16078 88259998 16018 22769998 15957 56279998 15896 88789998 15836 20299998 15775 507
.o''607 09998 15714 80219998 15654 08729998 15593 36239998 15532 62749998 15471 88259998 15411 12769998 15350 36279998 15289 58789998 15228 80299998 15168 007
.o'^608 09998 15107 20219998 15046 38729998 14985 56339998 14924 72849998 14863 88359998 14803 02869998 14742 16379998 14681 28889998 14620 40399998 14559 508
.0''609 09998 14498 60319998 14437 68829998 14376 76339998 14315 82849998 14254 88359998 14193 92869998 14132 96379998 14071 98889998 14011 00399998 13950 008
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 123
XXXX In XXXX
6101 8.71620 79711 51852 44454 8736102 8.71637 18652 76614 95218 5106103 8.71653 57325 44494 95329 7636104 8.71669 95729 64292 93373 4366105 8.71686 33865 44805 05442 6046106 8.71702 71732 94823 15421 9536107 8.71719 09332 23134 75270 8966108 8.71735 46663 38523 05306 4576109 8.71751 83726 49766 94485 9196110 8.71768 20521 65641 00689 2436111 8.71784 57048 94915 51001 2566112 8.71800 93308 46356 41993 6116113 8.71817 29300 28725 40006 5086114 8.71833 65024 50779 81430 1946115 8.71850 00481 21272 72986 2296116 8.71866 35670 48952 92008 5196117 8.71882 70592 42564 86724 1256118 8.71899 05247 10848 76533 8366119 8.71915 39634 62540 52292 5236120 8.71931 73755 06371 76589 2486121 8.71948 07608 51069 84027 1626122 8.71964 41195 05357 81503 1606123 8.71980 74514 77954 48487 3186124 8.71997 07567 77574 37302 0926125 8.72013 40354 12927 73401 2986126 8.72029 72873 92720 55648 8626127 8.72046 05127 25654 56597 3376128 8.72062 37114 20427 22766 1986129 8.72078 68834 85731 74919 9126130 8.72095 00289 30257 08345 7726131 8.72111 31477 62687 93131 5186132 8.72127 62399 91704 74442 7176133 8.72143 93056 25983 72799 9276134 8.72160 23446 74196 84355 6336135 8.72176 53571 45011 81170 9536136 8.72192 83430 47092 11492 1236137 8.72209 13023 89097 00026 7596138 8.72225 42351 79681 48219 8836139 8.72241 71414 27496 34529 7386140 8.72258 00211 41188 14703 3696141 8.72274 28743 29399 22051 9816142 8.72290 57010 00767 67726 0806143 8.72306 85011 63927 40990 3776144 8.72323 12748 27508 09498 4806145 8.72339 40220 00135 19567 3586146 8.72355 67426 90429 96451 5806147 8.72371 94369 07009 44617 3346148 8.72388 21046 58486 48016 2216149 8.72404 47459 53469 70358 8276150 8.72420 73608 00563 55388 076
m i.o'xxxx
,0^60 99139 64657 92902 467
.0^61 00139 03680 13462 60101138 42692 35242 01802137 81694 58240 91903137 20686 82459 50304136 59669 07897 97005135 98641 34556 51906135 37603 62435 35107134 76555 91534 66408134 15498 21854 658
.0^61 09133 54430 53395 53310132 93352 86157 48911132 32265 20140 72512131 71167 55345 44113131 10059 91771 83614130 48942 29420 11115129 37814 68290 46416129 26677 08383 09617128 65529 49698 20518128 04371 92235 993
In 1.0'XXXX
,0^61 19127 43204 35996 65720126 82026 80980 39921126 20839 27187 41722125 59641 74617 91123124 98434 23272 08124124 37216 73150 12725123 75989 24252 24826123 14751 76578 64327122 53504 30129 51228121 92246 84905 056
.0^61 29121 30979 40905 47330120 69701 98130 96431120 08414 56581 72732119 47117 16257 96333118 85809 77159 87134118 24492 39287 65135117 63165 02641 50236117 01827 67221 62537116 40480 33028 21838115 79123 00061 481
.0^61 39115 17755 68321 61440114 56378 37808 81741113 94991 08523 28942113 33593 80465 23043112 72186 53634 83944112 10769 28032 31645111 49342 03657 86146110 87904 80511 67447110 26457 58593 95348109 65000 37904 899
.0'610 09998 13889 00319998 13827 98829998 13766 96339998 13705 92849998 13644 88359998 13583 82869998 13522 76379998 13461 68889998 13400 60399998 13339 508O'^eil 09998 13273 40319998 13217 28829998 13156 16339998 13095 02849998 13033 88359998 12972 72869998 12911 56379998 12850 38889998 12789 20399998 12728 008
,0^612 09998 12666 80319998 12605 58829998 12544 36339998 12483 12849998 12421 88359993 12360 62869998 12299 36379998 12238 08889998 12176 80399998 12115 508
.0'^613 09998 12054 20319998 11992 88829998 11931 56339998 11870 22849998 11808 88359998 11747 52869998 11686 16379998 11624 78889998 11563 40399998 11502 0080^614 09998
124 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In l.O^XXXX In 1.0'XXXX
6151G152G15361546155615661576158615961606161616261 C3616461656166616761686169617061716172617361746175C176617761786179618061816182618361846185618661876188618961906191619261936194619561966197619861996200
8.72436 99492 08368 27152 3518.72453 25111 85479 90278 4058.72469 50467 40490 30244 0448.72485 75558 81987 13650 5858.72502 00386 18553 88495 1048.72518 24949 58769 84442 4478.72534 49249 11210 13097 0378.72550 73284 84445 68274 4478.72566 97056 87043 26272 7588.72583 20565 27565 46143 6988.72599 43810 14570 69963 5598.72615 66791 56613 23103 8918.72631 89509 62243 14501 9858.72648 11964 40006 36931 1298.72664 34155 98444 67270 6448.72680 56084 46095 66775 7098.72696 77749 91492 81346 9608.72712 99152 43165 41799 8748.72729 20292 09638 64133 9298.72745 41168 99433 49801 5568.72761 61783 21066 85976 8678.72777 82134 83051 45824 1598.72794 02223 93895 88766 2168.72810 22050 62104 60752 3788.72826 41614 96177 94526 4038.72842 60917 04612 09894 1098.72858 79956 95899 13990 7978.72874 98734 78527 01548 4628.72891 17250 60979 55162 7858.72907 35504 51736 45559 9078.72923 53496 59273 31862 9958.72939 71226 92061 61858 5818.72955 88695 58568 72262 6978.72972 05902 67257 88986 7858.72988 22848 26588 27403 3988.73004 39532 45014 92611 6883.73020 55955 30988 79702 6718.73036 72116 92956 74024 2348.73052 88017 39361 51446 2308.73069 03656 78641 78624 6038.73085 19035 19232 13266 3003.73101 34152 69563 04393 2268.73117 49009 38060 92606 2788.73133 63605 33148 10349 1193.73149 77940 63242 82171 7413.73165 92015 3C759 24993 8108.73182 05829 62107 48367 8068.73198 19383 47693 54741 9448.73214 32677 01919 39722 8858.73230 45710 33182 92338 238
.0''61 49109 03533 18444 71150108 42056 00213 59051107 80568 83211 73352107 19071 67439 34253106 57564 52896 61654105 96047 39583 75455105 34520 27500 95656104 72983 16648 42257104 11436 07026 35158103 49878 98634 943
.0^61 59102 38311 91474 39760102 26734 85544 91461101 65147 80846 69362101 03550 77379 93363100 41943 75144 83464099 80326 74141 59665099 18699 74370 41866098 57062 75831 50067097 95415 78525 04268097 33758 82451 243
.0^61 69096 72091 87610 30370096 10414 94002 42271095 48728 01627 79872094 87031 10486 63273094 25324 20579 12474093 63607 31905 47375093 01880 44465 87876092 40143 58260 54077091 78396 73289 65878091 16639 89553 431
,0^61 79090 54873 07052 05980089 93096 25785 74281089 31309 45754 68082088 69512 66959 07183088 07705 89399 11684087 45889 13075 01585086 84062 37986 96786086 22225 64135 17187085 60378 91519 82788084 98522 20141 135
,0^61 89084 36655 49999 29590083 74778 81094 50691083 12892 13426 96792082 50995 46996 87993081 89088 81804 44194081 27172 17849 85295080 65245 55133 31396080 03308 93655 02297079 41362 33415 18098078 79405 74413 986
.0'615 09998 10826 00319998 10764 48829998 10702 96339998 10641 42849998 10579 88359998 10518 32869998 10456 76379998 10395 13889998 10333 60399998 10272 008
.o'^616 09998 10210 40319998 10148 78829998 10087 16339998 10025 52849998 09963 88359998 09902 22869998 09840 56379998 09778 88889998 09717 20399998 09655 508
.0^617 09998 09593 80319998 09532 08829998 09470 36339998 09408 62849998 09346 88359998 09285 12869998 09223 36379998 09161 58889998 09099 80399998 09038 008
.0^618 09998 08976 20319998 08914 38829998 08852 56339998 08790 72849998 08728 88359998 08667 02869998 08605 16379998 08543 28889998 08481 40399998 08419 5080''619 09998 08357 60319998 08295 68829998 08233 76339998 08171 82849998 08109 88359998 08047 92869998 07985 96379998 07923 98889998 07862 00399998 07800 008
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 123
xxxx
62016202620362046205620662076208620962106211621262136214621562166217621862196220622162226223622462256226622762286229623062316232623362346235
In XXXX
8.73246 58483 49877 95298 8458.73262 70996 60394 252G0 8598.73278 83249 73117 53087 6113.73294 95242 96429 44111 2608.73311 06976 38707 58394 2408.73327 18450 08325 50990 4908.73343 29664 13652 72206 4788.73359 40618 63054 67862 Oil8.73375 51313 64892 79550 8408.73391 61749 27524 44901 0488.73407 71925 59302 97835 2358.73423 81842 68577 68830 4918.73439 91500 63693 85178 1598.73456 00899 52992 71243 3888.73472 10039 44811 48724 4838.73488 18920 47483 36912 0398.73504 27542 69337 52947 8698.73520 35906 18699 12083 7298.73536 44011 03889 27939 8258.73552 51857 33225 12763 1228.73568 59445 15019 77685 4398.73584 66774 57582 32981 3408.73600 73845 69217 88325 8158.73616 80658 58227 53051 7558.73632 87213 32908 36407 2248.73648 93510 01553 47812 5168.73664 99548 72451 97117 0173.73681 05329 53888 94855 8468.73697 10852 54145 52506 3058.73713 16117 81498 82744 1168.73729 21125 44221 99699 4488.73745 25875 50584 19212 7498.73761 30368 08850 59090 3628.73777 34603 27282 39359 9478.73793 38581 14136 82525 687
in l.O^XXXX
6236 8.73809 42301 77667 13823 2986237 8.73825 45765 26122 61474 8286238 8.73841 48971 67748 56943 2586239 8.73857 51921 10786 35186 8976240 8.73873 54613 63473 34913 5656241624262436244624562466247624862496250
8.73889 57049 34042 98834 5898.73905 59228 30724 73918 5788.73921 61150 61744 11645 0078.73937 62816 35322 68257 5928.73953 64225 59678 05017 4648.73969 65378 43023 88456 1408.73985 66274 93569 90628 2918.74001 66915 19521 89364 3098.74017 67299 29081 68522 6728.74033 67427 30447 18242 103
.0^61 99078 17439 16651 640
,0^62 00077 55462 60128 34101076 93476 04844 29002076 31479 50799 68403075 69472 97994 72604075 07456 46429 61305074 45429 96104 54506073 83393 47019 72307073 21346 99175 34508072 59290 52571 612
.0^62 09071 97224 07208 72310071 35147 63086 87811070 73061 20206 27612070 10964 78567 11713069 48858 38169 60014068 86741 99013 92615068 24615 61100 29316067 62479 24428 90217067 00332 88999 95118066 38176 54813 642
.0^62 19065 76010 21870 17320065 13833 90169 74321064 51647 59712 55422063 89451 30498 80323063 27245 02528 69224062 65028 75802 41825062 02802 50320 18326061 40566 26082 18627060 78320 03088 62628060 16063 81339 702
.0^62 29059 53797 60835 61630058 91521 41576 56531058 29235 23562 75132057 66939 06794 37233057 04632 91271 62834056 42316 76994 71835055 79990 63963 84336055 17654 52179 20237054 55308 41640 99538053 92952 32349 421
.0^62 39053 30586 24304 67940052 68210 17506 97141052 05824 11956 49442051 43428 07653 44943050 81022 04598 03544050 18606 02790 45245049 56180 02230 90046048 93744 02919 57847048 31298 04856 68648047 68842 08042 423
m i.o'xxxx
o''620 09998 07738 00319998 07675 98829998 07G13 96339998 07551 92849998 07489 88359998 07427 82869998 07365 76379998 07303 68889998 07241 60399998 07179 508
o''621 09998 07117 40319998 07055 28829998 06993 16339998 06931 02849998 06868 88359998 06806 72869998 06744 56379998 06682 38889998 06620 20399998 06558 008
o''622 09998 06495 80319998 06433 58829998 06371 36339998 06309 12849998 06246 88359998 06184 62869998 06122 36379998 06060 08889998 05997 80399998 05935 508
.0''623 09998 05873 20319998 05810 88829998 05748 56339998 05686 22849998 05623 88359998 05561 52869998 05499 16379998 05436 78889998 05374 40399998 05312 008
.o''624 09998 05249 60319998 05187 18829998 05124 76339998 05062 32849998 04999 88359998 04937 42869998 04874 96379998 04812 48889998 04750 00399998 04687 508
SMITHSONIAN LOGARITHMIC TABLES
126 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 127
xxxx
128 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In l.O^XXXX In LO'XXXX
63516352635363546355635663576358635963606361636263636364636563666367636863696370 8.75935 47485 66209 03028 218637163726373637463756376637763786379638063816382638363846385638663876388638963906391639263936394639563966397639863996400
8.75636 75598 02974 84767 0638.75652 50029 26971 65075 2368.75668 24212 66533 24767 7728.75083 98148 29461 45960 3448.75699 71836 23554 42439 6698.75715 45276 56606 59895 3208.75731 18469 36408 76151 3678.75746 91414 70748 01397 8248.75762 64112 67407 78421 9288.75778 36563 34167 82839 2178.75794 08766 78804 23324 4488.75809 80723 09089 41842 3178.75825 52432 32792 13878 0048.75841 23894 57677 48667 5408.75856 95109 91506 89427 9868.75872 66078 42038 13587 4358.75888 36800 17025 33014 8358.75904 07275 24218 94249 6288.75919 77503 71365 78731 212
8.75951 17221 16488 19067 6158.75966 86710 29939 14363 6258.75982 55953 14294 12246 4688.75998 24949 77281 72090 9238.76013 93700 26626 89544 7068.76029 62204 70050 96756 6798.76045 30463 15271 62604 8708.76060 98475 70002 92924 3218.76076 66242 41955 30734 7498.76092 33763 38835 56468 0448.76108 01038 68346 88195 5698.76123 68068 38188 81855 2988.76139 34852 56057 31478 7688.76155 01391 29644 69417 8558.76170 67684 66639 66571 3758.76186 33732 74727 32611 5008.76201 99535 61589 16210 0078.76217 65093 34903 05264 3428.76233 30406 02343 27123 5118.76248 95473 71580 48813 7948.76264 60296 50281 77264 2778.76280 24874 46110 59532 2188.76295 89207 66726 83028 2288.76311 53296 19786 75741 2778.76327 17140 12943 06463 5298.76342 80739 53844 85014 9968.76358 44094 50137 62468 0198.76374 07205 09463 31371 5728.76389 70071 39460 25975 3938.76405 32693 47763 22453 938
.0^63 48984 09343 96796 03249983 45869 28390 59850982 82384 61254 35551982 18889 95387 50252981 55385 30790 23853980 91870 67462 76454980 28346 05405 28055979 64811 44617 98356979 01266 85101 07657978 37712 26854 756
.0^63 58977 74147 69879 22359977 10573 14174 67860976 46988 59741 32061975 83394 06579 34762975 19789 54688 96163974 56175 04070 36164973 92550 54723 74665973 28916 06649 31666972 65271 59847 27067972 01617 14317 808
.0^63 68971 37952 70061 13069970 74278 27077 43670970 10593 85366 92471969 46899 44929 79572968 83195 05766 24873968 19480 67876 48374967 55756 31260 69975966 92021 95919 09776966 28277 61851 87577965 64523 29059 233
.0^63 78965 00758 97541 37179964 36984 67298 48980963 73200 38330 78681963 09406 10638 46282962 45601 84221 71683961 81787 59080 74884961 17963 35215 75885960 54129 12626 94586959 90284 91314 50987959 26430 71278 649
.0^63 88958 62566 52519 56589957 98692 35037 45790957 34808 18832 52491956 70914 03904 96792956 07009 90254 98393955 43095 77882 77494954 79171 66788 53995954 15237 56972 47796953 51293 48434 78897952 87339 41175 672
.0'635 09997 98324 00419997 98260 48929997 98196 96439997 98133 42949997 98069 88459997 98006 32969997 97942 76479997 97879 18989997 97815 60499997 97752 009
.0^636 09997 97688 40419997 97624 78929997 97561 16439997 97497 52949997 97433 88459997 97370 22969997 97306 56479997 97242 88989997 97179 20499997 97115 509
.o'^637 09997 97051 80419997 96988 08929997 96924 36439997 96860 62949997 96796 88459997 96733 12969997 96669 36479997 96605 58989997 96541 80499997 96473 009
,0'^638 09997 96414 20419997 96350 38929997 96286 56439997 96222 72949997 96158 88459997 96095 02969997 96031 16479997 95967 28989997 95903 40499997 95839 5090^639 09997 95775 60419997 95711 68929997 95647 76439997 95583 82949997 95519 88459997 95455 92969997 95391 96479997 95327 98989997 95264 00499997 95200 009
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 129
xxxx
130 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e \3\
xxxx
132 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 133
xxxx
134 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 13:
xxxx
136 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 137
xxxx
138 LOGARITHMIC TABLES TO THE BASE e
XXXX
68516852685368546855685668576858685968606861686268636864686568666867686868696870687168726873687468756876687768786879688068816882688368846885688668876888688968906891689268936894689568966897689868996900
In XXXX
8.83214 99060 02899 06223 2198.83229 58594 44010 52695 9688.83244 17915 85823 68748 5118.83258 77024 34554 14121 6418.83273 35919 9G414 76518 9148.83287 94602 77615 71765 3748.83302 53072 84364 43966 1698.83317 11330 22865 65665 0418.83331 69374 99321 38002 7088.83346 27207 19930 90875 1288.83360 84826 90890 83091 6468.83375 42234 18395 02533 0298.83389 99429 08634 66309 3848.83404 56411 67798 20917 9608.83419 13182 02071 42400 8408.83433 69740 17637 36502 5098.83448 26086 20676 38827 3168.83462 82220 17366 14996 8208.83477 38142 13881 60807 0148.83491 93852 16395 02385 4478.83506 49350 31075 96348 2188.83521 04636 64091 29956 8678.83535 59711 21605 21275 1468.83550 14574 09779 19325 6778.83564 69225 34772 04246 4988.83579 23665 02739 87447 4908.83593 77893 19336 11766 6998.83608 31909 92211 51626 5358.83622 85715 26014 13189 8628.83637 39309 27389 34515 9768.83651 92692 02479 85716 4698.83666 45863 57425 69110 9758.83680 98823 98364 19382 8048.83695 51573 31430 03734 4798.83710 04111 62755 22043 1278.83724 56438 98469 07015 7948.83739 08555 44G98 24344 G188.83753 60461 07566 72861 9068.83768 12155 93195 84695 0948.83782 63640 07704 25421 5958.83797 14913 57207 94223 5288.83811 65976 47820 24042 3488.83826 16828 85651 81733 3528.83840 67470 76810 68220 0788.83855 17902 27402 18648 5918.83869 68123 43529 02541 6608.83884 18134 31291 23952 8168.83898 67934 96786 21620 3088.83913 17525 46108 69120 9408.83927 66905 85350 75023 798
In l.O-'XXXX in 1.0'XXXX
.0^68 48654 26126 59267 79449653 57658 50358 92650652 89180 42819 05151652 20692 36648 36852651 52194 31847 07853650 83686 28415 37954650 15168 26353 47155649 46640 25661 55456648 78102 26339 82757648 09554 28388 490
.0^68 58647 40996 31807 74259646 72428 36597 78460646 03850 42758 81461645 35262 50291 03362644 66664 59194 63963643 98056 69469 83364643 29438 81116 81465642 60810 94135 78266641 92173 08526 93567641 23525 24290 475
.0^68 68640 54867 41426 60069639 86199 59935 51070639 17521 79817 40471638 48834 01072 48372637 80136 23700 94573637 11428 47702 99174636 42710 73078 82075635 73982 99828 63176635 05245 27952 62477634 36497 57450 999
.0^68 78633 67739 88323 95579632 98972 20571 69280632 30194 54194 41081631 61406 89192 30782630 92609 25565 58483630 23801 63314 44184629 54984 02439 07685628 86156 42939 68986628 17318 84816 48187627 48471 28069 650
.0^68 88626 79613 72699 3968962G 10746 18705 91990625 41868 66089 41891624 72981 14850 09392624 04083 64988 14493623 35176 16503 77094622 66258 69397 17095621 97331 23668 54596621 28393 79318 09397620 59446 36346 015
.0^685 09997 65319 00619997 65250 49129997 65181 96639997 65113 43149997 65044 88659997 64976 331G9997 64907 76679997 64839 19189997 G4770 60699997 64702 Oil
.0^636 09997 64633 40619997 64564 79129997 64496 16639997 64427 53149997 64358 88659997 64290 23169997 64221 56679997 64152 89189997 64084 20699997 64015 511
.0^687 09997 63946 80619997 63878 09129997 63809 36639997 63740 63149997 63671 88659997 63603 13169997 63534 36679997 63465 59189997 63396 80699997 63328 Oil
.o''688 09997 63259 20619997 63190 39129997 63121 56639997 63052 73149997 62983 88659997 62915 03169997 62846 16679997 62777 29189997 62708 40699997 62639 511
.0''689 09997 62570 60619997 62501 69129997 62432 76639997 62363 83149997 62294 88659997 62225 93169997 62156 96679997 62087 99189997 62019 00699997 61950 Oil
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 139
xxxx
140 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 141
xxxx m xxxx
7001 8.85380 82749 77197 58055 0377002 8.85395 11015 14610 98505 6347003 8.85409 39076 55517 72781 3387004 8.85423 66934 05742 46985 2607005 8.85437 94587 71107 37752 5547006 8.85452 22037 57432 12392 8537007 8.85466 49283 70533 89032 6147008 8.85480 76326 16227 36757 3517009 8.85495 03165 00324 75753 7777010 8,85509 29800 28635 77451 8347011 8.85523 56232 06967 64666 6287012 8.85537 82460 41125 11740 2657013 8.85552 08485 36910 44683 5777014 8.85566 34307 00123 41317 7587015 8.85580 59925 36561 31415 8907016 8.85594 85340 52018 96844 3727017 8.85609 10552 52288 71704 2507018 8.85623 35561 43160 42472 4397019 8.85637 60367 30421 48142 8577020 8.85651 84970 19856 80367 4457021 8.85666 09370 17248 83597 0947022 8.85680 33567 28377 55222 4727023 8.85694 57561 59020 45714 7477024 8.85708 81353 14952 58766 2147025 8.85723 04942 01946 51430 8167026 8.85737 28323 25772 34264 5717027 8.85751 51511 92197 71465 8987028 8.85765 74493 06987 81015 8407029 8.85779 97271 75905 34818 1897030 8.85794 19848 04710 58839 5117031 8.85808 42221 99161 33249 0767032 8.85822 64393 65012 92558 6787033 8.85836 86363 08018 25762 3677034 8.85851 08130 33927 76476 0757035 8.85865 29695 48489 43077 1437036 8.85879 51058 57448 78843 7527037 8.85893 72219 66548 92094 2557038 8.85907 93178 81530 46326 4017039 8.85922 13936 08131 60356 4777040 8.85936 34491 52088 08458 3337041 8.85950 54845 19133 20502 3227042 8.85964 74997 14997 82094 1357043 8.85978 94947 45410 34713 5357044 8.85993 14696 16096 75853 0017045 8.86007 34243 32780 59156 2667046 8.86021 53589 01182 94556 7597047 8.86035 72733 27022 48415 9507048 8.86049 91676 16015 43661 5957049 8.86064 10417 73875 59925 8857050 8.86078 28958 06314 33683 495
In l.O-'XXXX In 1.0'XXXX
.0^69 98550 44317 31464 47299549 74351 30134 901
.0^70 00549 04375 30204 26101548 34389 31672 75102547 64393 34540 57003546 94387 38807 91904546 24371 44474 99705545 54345 51542 00306544 84309 60009 13707544 14263 69876 599
.0^70 08543 44207 81144 58809542 74141 93813 30310542 04066 07882 94511541 33980 23353 71312540 63884 40225 80713539 93778 58499 42514539 23662 78174 76815538 53536 99252 03616537 83401 21731 42717537 13255 45613 141
.0^70 18536 43099 70897 37919535 72933 97584 33920535 02758 25674 22121534 32572 55167 22522533 62376 86063 55023532 92171 18363 39624532 21955 52066 96325531 51729 87174 44926530 81494 23686 05527530 11248 61601 981
.0^70 28529 40993 00922 42529528 70727 41647 58730528 00451 83777 66831527 30166 27312 86532526 59870 72253 38033525 89565 18599 41234525 19249 66351 16035524 48924 15508 82336523 78588 66072 60237523 08243 18042 696
.0^70 38522 37887 71419 30539521 67522 26202 62840520 97146 82392 86441520 26761 39990 21442519 56365 98994 87643518 85960 59407 05144518 15545 21226 93845517 45119 84454 73646516 74684 49090 64647516 04239 15134 867
. 0''700 09997 54930 00619997 54859 99129997 54789 96639997 54719 93149997 54649 88659997 54579 83169997 54509 76679997 54439 69189997 54369 60699997 54299 511
o''701 09997 54229 40619997 54159 29129997 54089 16639997 54019 03249997 53948 88759997 53878 73269997 53808 56779997 53738 39289997 53668 20799997 53598 012
,
0*^702 09997 53527 80719997 53457 59229997 53387 36739997 53317 13249997 53246 88759997 53176 63269997 53106 36779997 53036 09289997 52965 80799997 5289 5 512
.0^703 09997 52825 20719997 52754 89229997 52684 56739997 52614 23249997 52543 88759997 52473 53269997 52403 16779997 52332 79289997 52262 40799997 52192 012
.0^704 09997 52121 60719997 52051 19229997 51980 76739997 51910 33249997 51839 88759997 51769 43269997 51698 96779997 51628 49289997 51558 00799997 51487 512
SMITHSONIAN LOGARITHMIC TABLES
142 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 143
xxxx
144 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 145
xxxx
146 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 147
xxxx
148 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 149
xxxx
150 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 151
xxxx In XXXX In l.O^XXXX
7501 8.92279 16239 69636 29753 0067502 8.92292 49306 41832 64347 0287503 8.92305 82195 45728 74401 3407504 8.92319 14906 86060 60244 4357505 8.92332 47440 67562 32878 2737506 8.92345 79796 94966 14079 1757507 8.92359 11975 73002 36498 6607508 8.92372 43977 06399 43764 2077509 8.92385 75800 99883 90579 9597510 8.92399 07447 58180 42827 3507511 8.92412 38916 86011 77665 6727512 8.92425 70208 88098 83632 5717513 8.92439 01323 69160 60744 4797514 8.92452 32261 33914 20596 9797515 8.92465 63021 87074 86465 1007516 8.92478 93605 33355 93403 5497517 8.92492 24011 77468 88346 8757518 8.92505 54241 24123 30209 5637519 8.92518 84293 78026 89986 0717520 8.92532 14169 43885 50850 7877521 8.92545 43868 26403 08257 9317522 8.92558 73390 30281 70041 3877523 8.92572 02735 60221 56514 4627524 8.92585 31904 20921 00569 5937525 8.92598 60896 17076 47777 9717526 8.92611 89711 53382 56489 1167527 8.92625 18350 34531 97930 3667528 8.92638 46812 65215 56306 3237529 8.92651 75098 50122 28898 2117530 8.92665 03207 93939 26163 1827531 8.92678 31141 01351 71833 5547532 8.92691 58897 77043 03015 9777533 8.92704 86478 25694 70290 5397534 8.92718 13882 51986 37809 8057535 8.92731 41110 60595 83397 7897536 8.92744 68162 56198 98648 8627537 8.92757 95038 43469 89026 5917538 8.92771 21738 27080 73962 5187539 8.92784 48262 11701 86954 8697540 8.92797 74610 02001 75667 1987541 8.92811 00782 02647 02026 9697542 8.92824 26778 18302 42324 0667543 8.92837 52598 53630 87309 2467544 8.92850 78243 13293 42292 5217545 8.92864 03712 01949 27241 4777546 8.92877 29005 24255 76879 5237547 8.92890 54122 84868 40784 0887548 8.92903 79064 88440 83484 7347549 8.92917 03831 39624 84561 2217550 8.92930 28422 43070 38741 499
.0^74 98188 15597 16120 48199187 40638 39152 597
.0''75 00186 65669 63683 42601185 90690 89713 16802185 15702 17242 02203184 40703 46270 18904183 65694 76797 86605182 90676 08825 25506182 15647 42352 55407181 40608 77379 964
.0^75 08180 65560 13907 68309179 90501 51935 91210179 15432 91464 84911178 40354 32494 69412177 65265 75025 64813176 90167 19057 90914176 15058 64591 67615175 39940 11627 15116174 64811 60164 53117173 89673 10204 018
.0^75 18173 14524 61745 80919172 39366 14790 10520171 64197 69337 10521170 89019 25387 00922170 13830 82940 01723169 38632 41996 32724168 63424 02556 14025167 88205 64619 65526167 12977 28187 07227166 37738 93258 590
.0^75 28165 62490 59834 40829164 87232 27914 72730164 11963 97499 74531163 36685 68589 66332162 61397 41184 68033161 86099 15284 99534161 10790 90890 80835160 35472 68002 31836159 60144 46619 72637158 84806 26743 230
.0^75 38158 09458 08373 03039157 34099 91509 32640156 58731 76152 31841155 83353 62302 20442155 07965 49959 18443154 32567 39123 45944153 57159 29795 22745152 81741 21974 68846152 06313 15662 04147151 30875 10857 486
in 1.0'XXXX
0''750 09997 18675 00919997 18599 99429997 18524 96939997 18449 93449997 18374 88959997 18299 83469997 18224 76979997 18149 69489997 18074 60999997 17999 514
o'^751 09997 17924 40919997 17849 29429997 17774 16939997 17699 03449997 17623 88959997 17548 73469997 17473 56979997 17398 39489997 17323 20999997 17248 014
.0''752 09997 17172 80919997 17097 59429997 17022 36939997 16947 13449997 16871 88959997 16796 63469997 16721 36979997 16646 09489997 16570 80999997 16495 514
.0^753 09997 16420 20919997 16344 89429997 16269 56939997 16194 23449997 16118 88959997 16043 53469997 15968 16979997 15892 79489997 15817 40999997 15742 014
.o''754 09997 15666 60919997 15591 19429997 15515 76939997 15440 33449997 15364 88959997 15289 43469997 15213 96979997 15138 49489997 15063 00999997 14987 514
SMITHSONIAN LOGARITHMIC TABLES
132 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 153
xxxx
154 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 155
xxxx
156 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 157
xxxx
158 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In l.O-'XXXX In 1.0'XXXX
78517852785378547855785678577858785978607861786278637864786578667867786878697870
8.96839 61911 98255 54877 4178.96852 35553 96351 68368 4193.96865 09033 74874 63293 2098.96877 82351 37954 93022 9318.96890 55506 89721 53164 3758.96903 28500 34301 81640 3128.96916 01331 75821 58769 7708.96928 74001 18405 07348 2738.96941 46508 66174 92728 0148.96954 18854 23252 22897 9898.96966 91037 93756 48564 0728.96979 63059 81805 63229 0438.96992 34919 91516 03272 5648.97005 06618 27002 48031 1038.97017 78154 92378 19877 8138.97030 49529 91754 84302 3508.97043 20743 29242 49990 6498.97055 91795 08949 68904 6458.97068 62685 34983 36361 9488.97081 33414 11448 91115 4577871 8.97094 03981 42450 15432 93878727873787478757876787778787879788078817882788378847885788678877888788978907891789278937894789578967897789878997900
8.97106 74387 32089 35176 5408.97119 44631 84467 19882 2648.97132 14715 03682 82839 3848.97144 84636 93833 81169 8128.97157 54397 59016 15907 4218.97170 23997 03324 32077 3098.97182 93435 30851 18775 0168.97195 62712 45688 09245 6958.97208 31828 51924 80963 2258.97221 00783 53649 55709 2808.97233 69577 54948 99652 3428.97246 38210 59908 23426 6748.97259 06682 72610 82211 2318.97271 74993 97138 75808 5268.97284 43144 37572 48723 4508.97297 11133 97990 90242 0358.97309 78962 82471 34510 1738.97322 46630 95089 60612 2818.97335 14138 39919 92649 9168.97347 81485 21034 99820 3468.97360 48671 42505 96495 0638.97373 15697 08402 42298 2528.97385 82562 22792 42185 2098.97398 49266 89742 46520 7108.97411 15811 13317 51157 3248.97423 82194 97580 97513 6898.97436 48418 46594 72652 7278.97449 14481 64419 09359 8118.97461 80384 55112 86220 893
.0''78 47919 70207 24993 85448918 91753 84762 74449918 13290 46100 18850917 34817 09006 38251916 56333 73481 52952915 77840 39525 82653914 99337 07139 47454914 20823 76322 67155913 42300 47075 61856912 63767 19398 515
.0^78 57911 85223 93291 55958911 06670 68754 95259910 28107 45788 89260909 49534 24393 58061908 70951 04569 21462907 92357 86315 99563907 13754 69634 12164906 35141 54523 79265905 56518 40985 20866904 77885 29018 569
.0^78 67903 99242 18624 07368903 20589 09801 92169902 41926 02552 31170901 63252 96875 44471900 34569 92771 51972900 05876 90240 73673899 27173 89283 29374898 48460 89899 39175897 69737 92089 22976896 91004 95853 007
.0^78 77896 12262 01190 92478895 33509 08103 17979894 54746 16589 97380893 75973 26651 50481892 97190 38287 97282892 18397 51499 57883891 39594 66286 51984890 60781 82648 99785889 81959 00587 20986889 03126 20101 357
.0^78 87888 24283 41191 63988887 45430 63858 25589886 66567 88101 40590885 87695 13921 28791885 08812 41318 10292884 29919 70292 04993883 51017 00843 32794882 72104 32972 13795881 93181 66678 67796881 14249 01963 147
0'785 09996 91809 Oil19996 91730 4962999G 91651 97139996 91573 43649996 91494 89159996 91416 33669996 91337 77179996 91259 19689996 91180 61199996 91102 016
,0'^786 09996 91023 41119996 90944 79629996 90866 17139996 90787 53649996 90708 89159996 90630 23669996 90551 57179996 90472 89689996 90394 21199996 90315 5160''787 09996 90236 81119996 90158 09629996 90079 37139996 90000 63649996 89921 89159996 89843 13669996 89764 37179996 89685 59689996 89606 81199996 89528 016
.o'^788 09996 89449 21119996 89370 39629996 89291 57139996 89212 73649996 89133 89159996 89055 03669996 88976 17179996 88897 29689996 88818 41199996 88739 516
.o'^789 09996 88660 61119996 88581 69629996 88502 77139996 88423 83649996 88344 89159996 88265 93669996 88186 97179996 88107 99689996 88029 Oil99996 87950 016
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 159
xxxx
160 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 161
XXXX In XXXX In l.O^XXXX In 1.0'XXXX
80018002800380048005800680078008800980108011801280138014801580168017801880198020802180228023802480258026802780288029803080318032803380348035803680378038803980408041804280438044804580468047804880498050
8.98732 18128 50123 96094 3288.98744 67894 17180 33727 1788.98757 17503 67046 16294 0708.98769 66957 03624 02821 9738.98782 16254 30815 06072 9918.98794 65395 52518 92617 4468.98807 14380 72633 82906 9228.98819 63209 95056 51347 2488.98832 11883 23682 26371 4458.98844 60400 62404 90512 6308.98857 08762 15116 80476 8643.98869 56967 85708 87215 9678.98882 05017 78070 56000 2778.98894 52911 96089 86491 3718.98907 00650 43653 32814 7358.98919 48233 24646 03632 3928.98931 95660 42951 62215 4888.98944 42932 02452 26516 8228.98956 90048 07028 69243 3418.98969 37008 60560 17928 5908.98981 83813 66924 55005 1068.98994 30463 29998 17876 7788.99006 76957 53655 98991 1598.99019 23296 41771 45911 7288.99031 69479 98216 61390 1168.99044 15508 26862 03438 2788.99056 61381 31576 85400 6238.99069 07099 16228 76026 1068.99081 52661 84683 99540 2618.99093 98069 40807 35717 2048.99106 43321 88462 19951 5818.99118 88419 31510 43330 4758.99131 33361 73812 52705 2678.99143 78149 19227 50763 4578.99156 22781 71612 96100 4318.99168 67259 34825 03291 1938.99181 11582 12718 42962 0478.99193 55750 09146 41862 2338.99205 99763 27960 82935 5258.99218 43621 73012 05391 7778.99230 87325 48149 04778 4328.99243 30874 57219 33051 9788.99255 74269 04068 98649 3658.99268 17508 92542 66559 3828.99280 60594 26483 58393 9758.99293 03525 09733 52459 5408.99305 46301 46132 83828 1528.99317 88923 39520 44408 7698.99330 31390 93733 83018 3748.99342 73704 12609 05453 086
,0^79 97800 90623 28899 06898800 10672 26180 51699799 30711 25060 446
.0^80 00798 50740 25539 05601797 70759 27616 54602796 90768 31293 11703796 10767 36568 96604795 30756 43444 29405794 50735 51919 30006793 70704 61994 184
.0^80 07792 90663 73669 14508792 10612 86944 38309791 30552 01820 09710790 50481 18296 48711789 70400 36373 75212788 9030913788 1020814787 3009815786 4997716785 69846
56052 09277331 70700212 79524695 55750780 192
.0^80 17784 89705 78466 89918784 09555 07755 87819783 29394 38647 32920782 49223 71141 45021781 69043 05238 44222780 88852 40938 50523780 08651 78241 83624779 28441 17148 63725778 48220 57659 10726777 67989 99773 444
.0^80 27776 87749 43491 85028776 07498 88814 52229775 27238 35741 66130774 46967 84273 46731773 66687 34410 13832772 86396 86151 87433772 06096 39498 87534771 25785 94451 34035770 45465 51009 46936769 65135 09173 462
.0^80 37768 84794 68943 51738768 04444 30319 83439767 24083 93302 61440766 43713 57892 05541765 63333 24088 35642764 82942 91891 71843764 02542 61302 34044763 22132 32320 42245762 41712 04946 16246761 61281 79179 761
0^800 09996 79920 01219996 79839 99729996 79759 97239996 79679 93749996 79599 89259996 79519 83769996 79439 77279996 79359 69789996 79279 61299996 79199 517
o'^SOl 09996 79119 41219996 79039 29729996 78959 17239996 78879 03749996 78798 89259996 78718 73769996 78638 57279996 78558 39789996 78478 21299996 78398 17
.0''802 09996 78317 81219996 78237 59729996 78157 37239996 78077 13749996 77996 89259996 77916 63769996 77836 37279996 77756 09789996 77675 81299996 77595 517
.0''803 09996 77515 21219996 77434 89729996 77354 57239996 77274 23749996 77193 89259996 77113 53769996 77033 17279996 76952 79789996 76872 41299996 76792 017
.0^804 09996 76711 61219996 76631 19729996 76550 77239996 76470 33749996 76389 89259996 76309 43769996 76228 97279996 76148 49789996 76068 01299996 75987 517
SMITHSONIAN LOGARITHMIC TABLES
162 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 165
xxxx
164 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 165
xxxx
166 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 167
xxxx
16S LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 169
xxxx
170 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 171
xxxx
172 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 173
XXXX
86018602860386048605860686078608860986108611861286138614861586168617861886198620862186228623862486258626862786288629863086318632863386348635863686378638863986408641864286438644864586468647864886498650
In XXXX m i.o-'xxxx9.05963 37545 51479 52696 7589.05975 00133 43681 62453 5469.05986 62586 21348 12617 8179.05998 24903 87620 66858 8129.06009 87086 45639 79311 1089.06021 49133 98544 94625 5349.06033 11046 49474 48020 0519.06044 72824 01565 65330 6119.0G056 34466 57954 63061 9819.06067 95974 21776 48438 5359.06079 57346 96165 19455 0269.06091 18584 84253 64927 3189.06102 79687 89173 64543 0959.06114 40656 14055 88912 5399.06126 01489 62029 99618 9789.06137 62188 36224 49269 5039.06149 22752 39766 81545 5639.06160 83181 75783 31253 5189.06172 43476 47399 24375 1759.06184 03636 57738 78118 2899.06195 63662 09925 00967 0329.06207 23553 07079 92732 4409.06218 83309 52324 44602 8259.06230 42931 48778 39194 1589.06242 02418 99560 50600 4289.06253 61772 07788 44443 9649.06265 20990 76578 77925 7369.06276 80075 09046 99875 6209.06288 39025 08307 50802 6359.06299 97840 77473 62945 1599.06311 56522 19657 60321 1039.06323 15069 37970 58778 0669.06334 73482 35522 66043 4549.06346 31761 15422 81774 5789.06357 89905 80778 97608 7159.06369 47916 34697 97213 1449.06381 05792 80285 56335 1539.06392 63535 20646 42852 0169.06404 21143 58884 16820 9409.06415 78617 98101 30528 9899.06427 35958 41399 28542 9699.06438 93164 91878 47759 2939.06450 50237 52638 17453 8169.06462 07176 26776 59331 6349.06473 63981 17390 87576 8639.06485 20652 27577 03902 3849.06496 77189 60430 22599 5649.06508 33593 19044 20587 9409.06519 89863 06511 87464 8829.06531 45999 25925 00555 225
in 1.0'XXXX
.0^85 97303 25950 91368 30098302 40009 83590 11399301 54058 77530 110
.0^86 00300 68097 73188 48801299 82126 70565 44902298 96145 69661 19003298 10154 70475 91204297 24153 73009 81505296 38142 77263 09706295 52121 83235 958
.0^86 07294 66090 90928 59708293 80050 00341 21509292 93999 11474 01010292 07938 24327 18211291 21867 38900 93112290 35786 55195 45613289 49695 73210 95614288 63594 92947 63115287 77484 14405 68116286 91363 37585 305
.0^86 17286 05232 62486 70218285 19091 89110 07219284 32941 17455 61420283 46780 47523 52821282 60609 79314 01422281 74429 12827 27023280 88238 48063 49724280 02037 85022 89425279 15827 23705 66026278 29606 64111 994
.0^86 27277 43376 06242 09728276 57135 50096 16829275 70884 95674 40630274 84624 42977 01031273 98353 92004 18132273 12073 42756 11833272 25782 95233 01934271 39482 49435 08635270 53172 05362 51636269 66851 63015 510
.0^86 37268 80521 22394 26738267 94180 83498 98739267 07830 46329 86940266 21470 10887 11241265 35099 77170 91642264 48719 45181 48143263 62329 14919 00644262 75928 86383 69045261 89518 59575 73346261 03098 34495 335
0^860 09996 30114 01619996 30028 00129996 29941 97639996 29855 94149996 29769 89659996 29683 84169996 29597 77679996 29511 70189996 29425 61699996 29339 5210^861 09996 29253 41619996 29167 30129996 29081 17639996 28995 04149996 28908 89659996 28822 74169996 28736 57679996 28650 40189996 28564 21699996 28478 021
.0^862 09996 28391 8161999G 28305 60129996 28219 37639996 28133 14149996 28046 89659996 27960 64169996 27874 37679996 27788 10189996 27701 81699996 27615 521
.0*^863 09996 27529 21619996 27442 90129996 2735G 57639996 27270 24149996 27183 89659996 27097 54169996 27011 17679996 26924 80189996 26838 41699996 26752 0210''864 09996 26665 61719996 26579 20229996 26492 77739996 26406 34249996 26319 89759996 26233 44269996 26146 97779996 26060 50289996 25974 01799996 25887 522
SMITHSONIAN LOGARITHMIC TABLES
174 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 175
xxxx
176 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 177
xxxx
178 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 179
xxxx
180 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In l.O^XXXX In l.O^XXXX
89518952895389548955895689578958895989608961896289638964896589668967896889698970897189728973897489758976897789788979898089818982898389848985898689878988898989908991899289938994899589968997899889999000
9.09952 05368 70938 95407 7309.09963 22499 91761 16098 2689.09974 39506 34155 99513 9889.09985 56388 00910 84190 9219.09996 73144 94812 15280 137
9. 10007 89777 18645 44589 4579.10019 06284 75195 30625 1449. 10030 22667 67245 38633 5639.10041 38925 97578 40642 8239.10052 55059 68976 15504 397
9. 10063 71068 84219 48934 7129. 10074 86953 46088 33556 7249.10086 02713 57361 68941 4659.10097 18349 20817 61649 5679.10108 33860 39233 25272 7649.10119 49247 15384 80475 3699. 10130 64509 52047 55035 7349. 10141 79647 51995 83887 6779.10152 94661 18003 09161 8959. 10164 09550 52841 80227 3489, 10175 24315 59283 53732 6209.10186 38956 40098 93647 2669.10197 53472 98057 71303 1219.10208 67865 35928 65435 5999. 10219 82133 56479 62224 9619.10230 96277 62477 55337 5659. 10242 10297 56688 45967 0909.10253 24193 41877 42875 7389.10264 37965 20808 62435 4129.10275 51612 96245 28668 8759. 10286 65136 70949 73290 8799. 10297 78536 47683 35749 2819.10308 91812 29206 63266 1259. 10320 04964 18279 10878 7079.10331 17992 17659 41480 6209. 10342 30896 30105 25862 7739.10353 43676 58373 42754 3819. 10364 56333 05219 78863 9469.10375 68865 73399 28920 2019. 10386 81274 65665 95713 0439. 10397 93559 84772 90134 4329. 10409 05721 33472 31219 2809.10420 17759 14515 46186 3049. 10431 29673 30652 70478 8679.10442 41463 84633 47805 7919.10453 53130 79206 30182 1459.10464 64674 17118 77970 0209.10475 76094 01117 59919 2709.10486 87390 33948 53208 2359.10497 98563 18356 43484 446
.0^89 46996 36887 20264 95347995 47452 26033 82248994 58007 33590 69049993 68552 42935 75750992 79087 54069 22051991 89612 66991 28152991 00127 81702 13953990 10632 98201 99254989 21128 16491 04255988 31613 36569 486
.0^89 56987 42088 58437 52457986 52553 82095 35658985 63009 07543 18259984 73454 34781 20160983 83889 63809 61161982 94314 94628 61462982 04730 27238 40863981 15135 61639 19264980 25530 97831 16765979 35916 35814 531
.0^89 66978 46291 75589 48467977 56657 17156 22668976 67012 60514 95569975 77358 05665 87370974 87693 52609 17771973 98019 01345 06772973 08334 51873 74373972 18640 04195 40574971 28935 58310 25175970 39221 14218 482
.0^89 76969 49496 71920 29677968 59762 31415 89378967 70017 92705 47379966 80263 55789 23580965 90499 20667 37981965 00724 87340 10382964 10940 55807 60883963 21146 26070 09384962 31341 98127 75785961 41527 71980 801
.0^89 86960 51703 47629 42287959 61869 25073 82188958 72025 04314 19889957 82170 85350 75190956 92306 68183 68091956 02432 52813 18592955 12548 39239 46593954 22654 27462 71994953 32750 17483 14895952 42836 09300 949
.0^895 09995 99398 01919995 99308 50429995 99218 97939995 99129 44449995 99039 89959995 98950 34469995 98860 77979995 98771 20489995 98681 61999995 98592 024
.0^896 09995 98502 41919995 98412 80429995 98323 17939995 98233 54449995 98143 89959995 98054 24469997 97964 57979995 97874 90489995 97785 21999995 97695 524
.o'^897 09995 97605 81919995 97516 10429995 97426 37939995 97336 64449995 97246 89959995 97157 14469995 97067 37979995 96977 60489995 96887 81999995 96798 0240^898 09995 96708 21919995 96618 40429995 96528 57939995 96438 74449995 96348 89959995 96259 04469995 96169 17979995 96079 30489995 95989 41999995 95899 5240''899 09995 95809 61919995 95719 70429995 95629 77939995 95539 84449995 95449 89959995 95359 94469995 95269 97979995 95180 00489995 95090 01999995 95000 024
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e ISl
xxxx
182 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 183
xxxx
184 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 185
xxxx
92019202920392049205920692079208920992109211921292139214921592169217921892199220922192229223922492259226922792289229923092319232923392349235923692379238923992409241924292439244924592469247924892499250
In XXXX
9. 12706 74527 82361 22553 4349.12717 61307 15413 90619 4479.12728 47968 38856 88660 1819.12739 34511 55256 49689 9259.12750 20936 67178 23079 2049.12761 07243 77186 74591 1219.12771 93432 87845 86417 6849.12782 79504 01718 57216 1119.12793 65457 21367 02145 1149.12804 51292 49352 52901 1709.12815 37009 88235 57754 7629.12826 22609 40575 81586 6129.12837 08091 08932 05923 8819.12847 93454 95862 28976 3649.12856 78701 03923 65672 6519.12869 63829 35672 47696 2819. 12880 48839 93664 23521 8689.12891 33732 80453 58451 2119.12902 18507 98594 34649 3819.12913 03165 50639 51180 795
9. 12923 87705 39141 24045 2639. 12934 72127 66650 86214 0229.12945 56432 35718 87665 7439.12956 40619 48894 95422 5289. 12967 24689 08727 93585 877
9. 12978 08641 17765 83372 6469. 12988 92475 78555 83150 9759.12999 76192 93644 28476 2079.13010 59792 65576 72126 7779.13021 43274 96897 84140 0939.13032 26639 90151 51848 3879. 13043 09887 47880 79914 5509.13053 93017 72627 90367 9559. 13064 76030 66934 22640 2499.13075 58926 33340 33601 129
9. 13086 41704 74385 97594 1089. 13097 24365 92610 06472 2499.13108 06909 90550 69633 8829.13118 89336 70745 14058 3149. 13129 71646 35729 84341 5009.13140 53838 88040 42731 7109.13151 35914 30211 69165 1729.13162 17872 64777 61301 6929.13172 99713 94271 34560 2639.13183 81438 21225 22154 644
9. 13194 63045 48170 75128 9309.13205 44535 77638 62393 0959.13216 25909 12158 70758 5239.13227 07165 54260 04973 5119. 13237 88305 06470 87758 761
In I.O'XXXX in 1.0'XXXX
.0^91 96769 67463 27153 24297768 75532 86129 94898767 83592 46944 51699766 91642 09597 147
.0^92 00765 99681 74088 04001765 07711 40417 39402764 15731 08585 40803763 23740 78592 28304762 31740 50438 21705761 39730 24123 410
.0^92 06760 47709 99648 06107759 55679 77012 37008758 63639 56216 53709757 71589 37260 76010756 79529 20145 23911755 87459 04870 17412754 95378 91435 76413754 03288 79842 20914753 11188 70089 70815752 19078 62178 460
.0^92 16751 26958 56108 66517750 34828 51880 52218749 42688 49494 23119748 50538 48949 99220747 58378 50248 00321746 66208 53388 46422745 74028 58371 57423744 81838 65197 53424743 89638 73866 54225742 97428 84378 798
.0^92 26742 05208 96734 50127741 12979 10933 85228740 20739 26977 04829739 28489 44864 29030738 36229 64595 77831737 43959 86171 70932736 51680 09592 28533735 59390 34857 70534734 67090 61968 16735733 74780 90923 872
.0^92 36732 82461 21725 01837731 90131 54371 80638730 97791 88864 43439730 05442 25203 10340729 13082 63388 Oil41728 20713 03419 35942727 28333 45297 34543726 35943 89022 16844725 43544 34594 03045724 51134 82013 128
0^920 09995 76708 02119995 76616 00629995 76523 98139995 76431 94649995 76339 90159995 76247 84669995 76155 78179995 76063 70689995 75971 62199995 75879 5260*^921 09995 75787 42119995 75695 30629995 75603 18139995 75511 04649995 75418 90159995 75326 74669995 75234 58179995 75142 40689995 75050 22199995 74958 026
,0''922 09995 74865 82119995 74773 60629995 74681 38139995 74589 14649995 74496 90159995 74404 64669995 74312 38179995 74220 10689995 74127 82199995 74035 526
.0''923 09995 73943 22119995 73850 90629995 73758 58139995 73666 24649995 73573 90159995 73481 54669995 73389 18179995 73296 80689995 73204 42199995 73112 0260^924 09995 73019 62119995 72927 20629995 72834 78139995 72742 34649995 72649 90159995 72557 44669995 72464 98179995 72372 50689995 72280 02199995 72187 526
SMITHSONIAN LOGARITHMIC TABLES
186 LOGARITHMIC TABLES TO THE BASE e
XXXX In XXXX In LO'^XXXX In 1.0'XXXX
92519252925392549255925692579258925992609261926292639264926592669267926892699270927192729273927492759276927792789279928092819282928392849285928692879288928992909291929292939294929592969297929892999300
9.13248 69327 71318 59842 8499.13259 50233 51329 79997 6759.13270 31022 49030 25073 8949.13281 11694 66944 90036 3279.13291 92250 07597 87999 358
9. 13302 72688 73512 50262 3009.13313 53010 67211 26344 7589.13324 33215 91215 84021 9619.13335 13304 48047 09360 0759. 13345 93276 40225 06751 5079.13356 73131 70268 98950 1799. 13367 52870 40697 27106 7899.13378 32492 54027 50804 0509.13389 11998 12776 48091 9109.13399 91387 19460 15522 7619.13410 70659 76593 68186 6139.13421 49815 86691 39746 2639.13432 28855 52266 82472 4439.13443 07778 75832 67278 9409.13453 86585 59900 83757 7089. 13464 65276 06982 40213 9559.13475 43850 19587 63701 2119.13486 22308 00226 00056 3839. 13497 00649 51406 13934 7809.13507 78874 75635 88845 1349.13518 56983 75422 27184 5869. 13529 34976 53271 50273 6679.13540 12853 11688 98391 2499.13550 90613 53179 30809 4909.13561 68257 80246 25828 7429.13572 45785 95392 80812 4639.13583 23198 01121 12222 0859. 13594 00493 99932 55651 8889.13604 77673 94327 65863 8369.13615 54737 86806 16822 4049.13626 31685 79867 01729 3839. 13637 08517 76008 33058 6689. 13647 85233 77727 42591 0279.13658 61833 87520 81448 8509.13669 38318 07884 20130 8799.13680 14686 41312 48546 9209.13690 90938 90299 76052 5429.13701 67075 57339 31483 7429.13712 43096 44923 63191 6119.13723 19001 55544 39076 9689.13733 94790 91692 46624 9759. 13744 70464 55857 92939 7459.13755 46022 50530 04778 9189.13766 21464 78197 28588 2279.13776 96791 41347 30536 039
.0-'92 46723 58715 31279 66247722 66285 82393 83248721 73846 35355 83749720 81396 90165 87750719 88937 46824 15151718 96468 05330 85852718 03988 65686 19953717 11499 27890 37254716 18999 91943 57655715 26490 57846 012
.0 92 56714 33971 25597 87957713 41441 95199 37658712 48902 66650 70259711 56353 39952 05860710 63794 15103 64261709 71224 92105 65462708 78645 70958 29463707 86056 51661 76064706 93457 34216 25365706 00848 18621 971
.0^92 66705 08229 04879 11567704 15599 92987 88368703 22960 82948 47569702 30311 74761 09170701 37652 68425 93071700 44983 63943 19172699 52304 61313 07573698 59615 60535 77974697 66916 61611 50475696 74207 64540 450
.0^92 76695 81488 69322 81577694 88759 75958 79978693 96020 84448 60279693 03271 94792 42280692 10513 06990 46081691 17744 21042 91582690 24965 36949 98683689 32176 54711 87384688 39377 74328 77585687 4'. 568 95800 892
.0^92 86686 53750 19128 42387685 60921 44311 56888684 68082 71350 52589683 75234 00245 49590682 82375 30996 67691681 8950692680 9662793680 0373994679 1084095678 17932
63604 26998068 47334389 48772567 51012602 743
.0'925 09995 72095 02119995 72002 50629995 71909 98139995 71817 44649995 71724 90159995 71632 34669995 71539 78179995 71447 20689995 71354 62199995 71262 026
.o'^926 09995 71169 42119995 71076 80629995 70984 18139995 70891 54749995 70798 90259995 70706 24769995 70613 58279995 70520 90789995 70428 22299995 70335 527
.o''927 09995 70242 82219995 70150 10729995 70057 38239995 69964 64749995 69871 90259995 69779 14769995 69686 38279995 69593 60789995 69500 82299995 69408 027
.o''928 09995 69315 22219995 69222 40729995 69129 58239995 69036 74749995 68943 90259995 68851 04769995 68758 18279995 68665 30789995 68572 42299995 68479 5270''929 09995 68386 62219995 68293 70729995 68200 78239995 68107 84749995 68014 90259995 67921 94769995 67828 98279995 67736 00789995 67643 02299995 67550 027
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 187
XXXX
93019302930393049305930693079308930993109311931293139314931593169317931893199320932193229323932493259326932793289329933093319332933393349335
In XXXX
9.13787 72002 42466 96547 8889.13798 47097 84042 32340 9759.13809 22077 68558 63458 6609.13819 96941 98500 35304 9369.13830 71690 76351 13178 875
9. 13841 46324 04593 82309 0629.13852 20841 85710 47888 0149.13862 95244 22182 35106 5769.13873 69531 16489 89188 2929.13884 43702 71112 75423 7729. 13895 17758 88529 79205 0329.13905 91699 71219 06059 8139.13916 65525 21657 81685 8869.13927 39235 42322 51985 3409.13938 12830 35688 83098 8499.13948 86310 04231 61439 9199.13959 59674 50424 93729 1189.13970 32923 76742 07028 2939.13981 06057 85655 48774 7569. 13991 79076 79636 86815 4689.14002 51980 61157 09441 1909.14013 24769 32686 25420 6239.14023 97442 96693 64034 5319.14034 70001 55647 75109 8409.14045 42445 12016 29053 7259.14056 14773 68266 16887 6739.14066 86987 26863 50281 5309.14077 59085 90273 61587 5349.14088 31069 60961 03874 3229. 14099 02938 41389 50960 9239.14109 74692 34021 97450 7369.14120 46331 41320 58765 4819.14131 17855 65746 71179 1419.14141 89265 09760 91851 8819. 14152 60559 75822 98863 948
in l.O^XXXX
9336 9.14163 31739 66391 91249 5569337 9.14174 02804 83925 89030 7529338 9. 14184 73755 30882 33251 2619339 9.14195 44591 09717 86010 3189340 9. 14206 15312 22888 30496 4759341934293439344934593469347934893499350
9.14216 85918 72848 71021 4019.14227 56410 62053 33053 6479.14238 26787 92955 63252 4119.14248 97050 68008 29501 2739.14259 67198 89663 20941 9179. 14270 37232 60371 48007 8329.14281 07151 82583 42457 9979.14291 76956 58748 57410 5509.14302 46646 91315 67376 4329.14313 16222 82732 68293 023
.0^92 96677 25013 54495 38497676 32084 98245 63398675 39146 43853 68999674 46197 91319 753
.0^93 00673 53239 40644 02201672 60270 9 18 20 69702671 67292 44867 97803670 74303 99768 06304669 81305 56527 15205668 88297 15145 445
.0^93 06667 95278 75623 14007667 02250 37960 43808666 09212 02157 53809665 16163 68214 63910664 23105 36131 94111663 30037 05909 64312662 36958 77547 94413661 43870 51047 04514660 50772 26407 14415659 57664 03628 441
in 1.0'XXXX
.0^93 16658 64545 82711 13517657 71417 63655 42618656 78279 46461 51319655 85131 31129 59620654 91973 17659 87521653 98805 06052 54722653 05626 96307 81423652 12438 88425 87424651 19240 82406 92725650 26032 78251 173
.0^93 26649 32814 75958 81027648 39586 75530 03828647 46348 76965 05729646 53100 80264 06730645 59842 85427 26531644 66574 92454 85332643 73297 01347 02933642 80009 12103 99334641 86711 24725 94535640 93403 39213 083
.0^93 36640 00085 55565 60737639 06757 73783 71738638 13419 93867 61239637 20072 15817 49140636 26714 39633 55441635 33346 65316 00142634 39968 92865 03143633 46581 22280 84344632 53183 53563 63645631 59775 86713 611
.0*^930 09995 67457 02219995 67364 00729995 67270 98239995 67177 94749995 67084 90259995 66991 84769995 66898 78279995 66805 70789995 66712 62299995 66619 527
o'^931 09995 66526 42219995 66433 30729995 66340 18239995 66247 04749995 66153 90259995 66060 74769995 65967 58279995 65874 40789995 65781 22299995 65688 027
,0''932 09995 65594 82219995 65501 60729995 65408 38239995 65315 14749995 65221 90259995 65128 64769995 65035 38279995 64942 10789995 64848 82299995 64755 527
.o''933 09995 64662 22219995 64568 90729995 64475 58239995 64382 24749995 64288 90259995 64195 54769995 64102 18279995 64008 80789995 63915 42299995 63822 027
.0^934 09995 63728 62219995 63635 20729995 63541 78239995 63448 34749995 63354 90259995 63261 44769995 63167 98279995 63074 50789995 62981 02299995 62887 527
SMITHSONIAN LOGARITHMIC TABLES
188 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 189
xxxx
190 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 191
xxxx
102 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 193
XXXX
96019602960396049605960696079608960996109611961296139614961596169617961896199620962196229623962496259626962796289629963096319632963396349635963696379638963996409641964296439644964596469647964896499650
In XXXX
9.16962 25386 97623 78175 3669.16972 66890 90885 66188 0159.16983 08286 37972 74896 9169.16993 49573 41143 83925 5879.17003 90752 02657 02343 2439.17014 31822 24769 68694 1629.17024 72784 09738 51027 0669.17035 13637 59819 46924 4539. 17045 54382 77267 83531 9549.17055 95019 64338 17587 6329.17066 35548 23284 35451 2999. 17076 75968 56359 53133 8029.17087 16280 65816 16326 2939.17097 56484 53906 00429 4969. 17107 96580 22880 10582 9419.17118 36567 74988 81694 2019.17128 76447 12481 78468 0989.17139 16218 37607 95435 9079.17149 55881 52615 56984 5329. 17159 95436 59752 17385 6819.17170 34883 61264 60825 0129.17180 74222 59399 01431 2759.17191 13453 56400 83305 4329. 17201 52576 54514 80549 7629.17211 91591 55984 97296 9579.17222 30498 63054 67739 1979. 17232 69297 77966 56157 2109.17243 07989 02962 56949 3219.17253 46572 40283 94660 4819. 17263 85047 92171 24011 2889. 17274 23415 60864 29926 9829. 17284 61675 48602 27566 4369. 17294 99827 57623 62351 1259.17305 37871 90166 09994 0849.17315 75808 48466 76528 8479.17326 13637 34761 98338 3769.17336 51358 51287 42183 9699. 17346 88972 00278 05234 1579. 17357 26477 83968 15093 5879.17367 63876 04591 29831 8879.17378 01166 64380 38012 5169.17388 38349 65567 58721 6039.17398 75425 10384 41596 7659. 17409 12393 01061 66855 9169. 17419 49253 39829 45326 0579.17429 86006 28917 18472 0549. 17440 22651 70553 58425 3979. 17450 59189 66966 68012 9499.17460 95620 20383 80785 6779.17471 31943 33031 61047 368
in l.O^XXXX
.0^95 96393 98786 90750 19797393 02864 00787 41398392 06931 12742 26699391 10988 26614 957
.0^96 00390 15035 42405 68401389 19072 60114 64702388 23099 79742 04503387 27117 01288 07804386 31124 24752 945'05385 35121 50136 846
.0^96 06384 39108 77439 98007383 43086 06662 54608382 47053 37804 74409381 51010 70866 77310380 54958 05848 83311379 58895 42751 12312378 62822 81573 84213377 66740 22317 19014376 70647 64981 36715375 74545 09566 572
.0^96 16374 78432 56073 00417373 82310 04500 86218372 86177 54850 34719371 90035 07121 65720370 93882 61314 99221369 97720 17430 55122369 01547 75468 53423368 05365 35429 14024367 09172 97312 56925366 12970 61119 020
.0^96 26365 16758 26848 69227364 20535 94501 78528363 24303 64078 49929362 28061 35579 03230361 31809 09003 58531360 35546 84352 35632359 39274 61625 54533358 42992 40823 35134357 46700 21945 97435356 50398 04993 614
.0^96 36355 54085 89966 46937354 57763 76864 74038353 61431 65688 62439352 65089 56438 32340351 68737 49114 03641350 72375 43715 96142349 76003 40244 29843348 79621 38699 24744347 83229 39081 00745346 86827 41389 777
m 1.0'XXXX
.©"^960 09995 39104 02519995 39008 01029995 38911 98539995 38815 95049995 38719 90559995 38623 85069995 38527 78579995 38431 71089995 38335 62599995 38239 5300^961 09995 38143 42519995 38047 31029995 37951 18539995 37855 05049995 37758 90559995 37662 75069995 37566 58579995 37470 41089995 37374 22599995 37278 030
,0''962 09995 37181 82519995 37085 61029995 36989 38539995 36893 15049995 36796 90559995 36700 65069995 36604 38579995 36508 11089995 36411 82599995 36315 530
.0^963 09995 36219 22519995 36122 91029995 36026 58539995 35930 25049995 35833 90559995 35737 55069995 35641 18579995 35544 81089995 35448 42599995 35352 030
.0^964 09995 35255 62519995 35159 21029995 35062 78539995 34966 35049995 34869 90559995 34773 45069995 34676 98579995 34580 51089995 34484 02599995 34387 530
SMITHSONIAN LOGARITHMIC TABLES
194 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 195
xxxx
196 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 197
xxxx
198 LOGARITHMIC TABLES TO THE BASE e
xxxx
LOGARITHMIC TABLES TO THE BASE e 199
xxxx
200 LOGARITHMIC TABLES TO THE BASE e
xxxx
TABLE 2.-L0GARITHMIC TABLESTO THE BASE 10

LOGARITHMIC TABLES TO THE BASE 10 203
xxxx
204 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 203
xxxx
206 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 207
xxxx
208 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 209
xxxx
210 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 211
XXXX
212 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 213
xxxx
214 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 215
xxxx
216 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 217
xxxx
218 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 219
xxxx
220 LOGARITHMIC TABLES TO THE BASE 10
XXXX
851852853854855856857858859860861862863864865866867868869870871872873874875876877878879880881882883884885886887888889890
-sgi892893894895896897898899900
log XXXX
92992 95600 84587 87567 62393043 95947 66700 11381 53493094 90311 67523 02999 84193145 78706 89005 05981 17093196 61147 28172 64091 26593247 37646 77153 22647 57693298 08219 23198 16429 25393348 72878 48705 44246 54793399 31638 31242 30262 85493449 84512 43567 72161 88393500 31514 53654 76251 66693550 72658 24712 79596 40293601 07957 15209 59266 36393651 37424 78893 28795 37893701 61074 64814 21934 67993751 78920 17346 63791 18193801 90974 76210 29437 53793851 97251 76491 90080 64093901 97764 48666 46874 50293951 92526 18618 52462 78794001 81550 07663 20335 56494051 64849 32567 22084 17394101 42437 05569 72637 44294151 14326 34403 03561 78594200 80530 22313 24507 10094250 41061 68080 72879 68994299 95933 66040 51822 80394349 45159 06102 56584 74894398 88750 73771 89353 87994448 26721 50168 62639 14294497 59084 12047 91274 23794546 85851 31819 73122 82394596 07035 77568 58561 59194645 22650 13073 08817 41594694 32706 97825 43234 19594743 37218 87050 75544 38494792 36198 31726 39219 65194841 29657 78601 01974 47094890 17609 70213 69495 92094939 00066 44912 78472 35494987 77040 36874 78993 03195036 48543 76123 06390 26595085 14588 88546 42595 05595133 75187 95917 67076 61395182 30353 15911 97435 66495230 80096 62125 19720 83995279 24430 44092 08536 93195327 63366 67304 37013 27795375 96917 33228 76699 95595424 25094 39324 87459 006
log l.O^XXXX
0^03 69568 87916 68843 91370003 13667 17611 03370437 39413 32157 66470871 65155 12483 89571305 90892 58589 81371740 16625 70475 50372174 42354 48141 05272608 68078 91586 54973042 93799 00812 07973477 19514 75817 7290^03 73911 45226 16603 58674345 70933 23169 73774779 96635 95516 26975214 22334 33643 26975648 48028 37550 82376082 73718 07239 01976516 99403 42707 94276951 25084 43957 68177385 50761 10988 32177819 76433 43799 950
, 0% 78254 02101 42392 65478688 27765 06766 52179122 53424 36921 63779556 79079 32858 08979991 04729 94575 96380425 30376 22075 34880859 56018 15356 32881293 81655 74418 99381728 07288 99263 42782162 32917 89889 718
.0303 82596 58542 46297 95383030 84162 68488 21983465 09778 56460 60283899 35390 10215 19084333 60997 29752 06984767 86600 15071 32685202 12198 66173 04885636 37792 83057 32186070 63382 65724 23386504 88968 14173 870
.0^03 86939 14549 28406 32087373 40126 08421 66887807 65698 54220 00388241 91266 65801 41088676 16830 43165 97689110 42389 86313 78989544 67944 95244 93689978 93495 69959 50290413 19042 10457 57590847 44584 16739 242
log l.O^XXXX0^36 95846 02527 085037 00188 97005 290037 04531 91483 491037 08874 85961 687037 13217 80439 880037 17560 74918 068037 21903 69396 251037 26246 63874 430037 30589 58352 605037 34932 52830 7760''037 39275 47308 942037 43618 41787 104037 47961 36265 261037 52304 30743 414037 56647 25221 563037 60990 19699 707037 65333 14177 847037 69676 08655 983037 74019 03134 115037 78361 97612 242
,
0''037 82704 92090 364037 87047 86568 483037 91390 81046 597037 95733 75524 706038 00076 70002 812038 04419 64480 913038 08762 58959 009038 13105 53437 102038 17448 47915 190038 21791 42393 273
.
0''038 26134 36871 353038 30477 31349 428038 34820 25827 498038 39163 20305 564038 43506 14783 626038 47849 09261 684038 52192 03739 737038 56534 98217 786038 60877 92695 831038 65220 87173 871
.0^038 69563 81651 907038 73906 76129 938038 78249 70607 965038 82592 65085 988038 86935 59564 007038 91278 54042 021038 95621 48520 031038 99964 42998 036039 04307 37476 037039 08650 31954 034
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 221
xxxx
LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 223
xxxx
224 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 225
xxxx
226 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 227
xxxx
228 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 229
xxxx
230 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 231
xxxx
232 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 233
xxxx
234 LOGARITHMIC TABLES TO THE BASE 10
XXXX log xxxx log l.O^XXXX log l.O^XXXX
15511552155315541555155615571558155915601561156215631564156515661567156815691570157115721573157415751576157715781579158015811582158315841585158615871588158915901591159215931594159515961597159815991600
19061 17978 13604 94245 94519089 17169 22169 63263 93219117 14557 28558 52440 39519145 10144 64895 46002 94319173 03933 62856 31033 92819200 95926 53670 12667 24219228 86125 68120 28915 05919256 74533 36545 65125 94819284 61151 88841 68075 79319312 45983 54461 59692 90119340 29030 62417 50418 73919368 10295 41281 52205 67719395 89780 19186 91153 13719423 67487 23829 19783 54219451 43418 82467 28959 43919479 17577 21924 59443 16719506 89964 68590 13100 45819534 60583 48419 63749 31319562 29435 86936 67655 51519589 96524 09233 73676 14819617 61850 39973 33052 43319645 25417 03389 08853 25619672 87226 23286 85070 69119700 47280 23045 75368 86519728 05581 25619 31487 47919755 62131 53536 51301 29619783 16933 28902 86536 90919810 69988 73401 50148 10019838 21300 08294 23351 07119865 70869 54422 62320 85619893 18699 32209 04550 19019920 64791 61657 74872 11819948 09148 62355 91147 62019975 51772 53474 69619 52120002 92665 53770 29933 94920030 31829 8158420057 69267 5484820085 04980 9107720112 38972 0737920139 71243 20451
99830 59919503 05845630 43355081 52748292 80220167 01796 46581 52321 35420194 30634 01650 23574 12420221 57758 01131 50214 57420248 83170 60093 54248 03420276 06873 93199 93286 93120303 28870 14710 61997 10620330 49161 38482 93226 41520357 67749 77972 58816 81320384 84637 46234 70101 09420411 99826 55924 78085 496
. O-'Oe 73538 50987 06191 79673972 73698 21860 72274406 96405 03369 93974841 19107 50719 53575275 41805 63909 59775709 64499 42940 21076143 87188 87811 46376578 09873 98523 44277012 32554 75076 23377446 55231 17469 923
.0^06 77880 77903 25704 60078315 00570 99780 35078749 23234 39697 26079183 45893 45455 41779617 68548 17054 90780051 91198 54495 81780486 13844 57778 23580920 36486 26902 24781354 59123 61867 93981788 81756 62675 399
.0^06 82223 04385 29324 71482657 27009 61815 97083091 49629 60149 25483525 72245 24324 65383959 94856 54342 25484394 17463 50202 14384828 40066 11904 40785262 62664 39449 13485696 85258 32836 41086131 07847 92066 321
.0^06 86565 30433 17138 95586999 53014 08054 39987433 75590 64812 73987867 98162 87414 06288302 20730 75858 45588736 43294 30146 00489170 65853 50276 79789604 88408 36250 92190039 10958 88068 46290473 33505 05729 5060^06 90907 56046 89234 14291341 78584 38582 45591776 01117 53774 53292210 23646 34810 46192644 46170 81690 32893078 68690 94414 22093512 91206 72982 22393947 13718 17394 42694381 36225 27650 91394815 58728 03751 772
. 0'067 35907 36208 247067 40250 30683 413067 44593 25158 573067 48936 19633 730067 53279 14108 882067 57622 08584 030067 61965 03059 173067 66307 97534 312067 70650 92009 447067 74993 86484 578
,0'^067 79336 80959 704067 83679 75434 825067 88022 69909 943067 92365 64385 056067 96708 58860 165068 01051 53335 269068 05394 47810 369068 09737 42285 465068 14080 36760 556068 18423 31235 6430^068 22766 25710 726068 27109 20185 804068 31452 14660 878068 35795 09135 948068 40138 03611 013068 44480 98086 074068 48823 92561 130068 53166 87036 183068 57509 81511 231068 61852 75986 2740''068 66195 70461 313068 70538 64936 348068 74881 59411 379068 79224 53886 405068 83567 48361 427068 87910 42836 444068 92253 37311 458068 96596 31786 466069 00939 26261 471069 05282 20736 4710^69 09625 15211 467069 13968 09686 458069 18311 04161 445069 22653 98636 428069 26996 93111 407069 31339 87586 381069 35682 82061 350069 40025 76536 316069 44368 71011 277069 48711 65486 234
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 235
xxxx
236 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 237
xxxx
238 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 23<)
xxxx
240 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 241
xxxx
242 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 243
xxxx
244 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 245
xxxx
21012102210321042105210621072108210921102111211221132114211521162117211821192120212121222123212421252126212721282129213021312132213321342135213621372138213921402141214221432144214521462147214821492150
log XXXX
32242 60524 05952 57838 52432263 27116 92223 41529 75132283 92726 86321 09435 90532304 57354 81701 45461 34532325 21001 71687 11223 03332345 83668 49467 71360 03632366 45356 08100 18782 95232387 06065 40508 99863 43532407 65797 39486 39563 98132428 24552 97692 66508 15632448 82333 07656 37991 42632469 39138 61774 64932 76632489 94970 52313 36767 20932510 49829 71407 46279 50332531 03717 11061 14379 05432551 56633 63148 14816 30332572 08580 19411 98840 72332592 59557 71466 19800 58432613 09567 10794 57684 66032633 58609 28751 43606 04732654 06685 16561 84228 24332674 53795 65321 86133 66232694 99941 65998 80134 74432715 45124 09431 45527 81932735 89343 86330 34289 89532756 32601 87277 95218 52132776 74899 02728 98014 89132797 16236 23010 57310 35132817 56614 38322 56636 46132837 96034 38737 72338 78632858 34497 14201 97434 55032878 72003 54534 65414 33932899 08554 49428 73987 99132919 44150 88451 08774 83032939 78793 61042 66938 42332960 12483 56518 80765 97932980 45221 64069 41192 58233000 77008 72759 21270 38833021 07845 71527 99582 95133041 37733 49190 83604 82833061 66672 94438 33006 62433081 94664 95836 82905 61833102 21710 41828 67062 13033122 47810 20732 41021 78333142 72965 20743 05203 79933162 97176 29932 27935 50433183 20444 36248 68433 15633203 42770 27517 99729 28933223 64154 91443 31546 68233243 84599 15605 33119 135
log 1.0-^XXXX
.
0''09 12356 86674 56334 43712791 06997 97270 51213225 27317 04094 62413659 47631 76806 86114093 67942 15407 30914527 88248 19896 05614962 08549 90273 18815396 28847 26538 79215830 49140 28692 95416264 69428 96735 763
.0^09 16698 89713 30667 30317133 09993 30487 66317567 30268 96196 92918001 50540 27795 18818435 70807 25282 52618869 91069 88659 03019304 11328 17924 78819738 31582 13079 88620172 51831 74124 41120606 72077 01058 449
.0^09 21040 92317 93882 08721475 12554 52595 41321909 32786 77198 51322343 53014 67691 47422777 73238 24074 38223211 93457 46347 32523646 13672 34510 38924080 33882 88563 66124514 54089 08507 22824948 74290 94341 177
.0^09 25382 94488 46065 59425817 14681 63680 56626251 34870 47186 18026685 55054 96582 52327119 75235 11869 68227553 95410 93047 74427988 15582 40116 79428422 35749 53076 92128856 55912 31928 21029290 76070 76670 750
.0^09 29724 96224 87304 62530159 16374 63829 92430593 36520 06246 73331027 56661 14555 13931461 76797 88755 22931895 96930 28847 08932330 17058 34830 80732764 37182 06706 46833198 57301 44474 16133632 77416 48133 971
log l.O^XXXX
, 0'091 24526 96893 417091 28869 91366 193091 33212 85838 965091 37555 80311 733091 41898 74784 497091 46241 69257 256091 50584 63730 Oil091 54927 58202 761091 59270 52675 507091 63613 47148 2490^091 67956 41620 987091 72299 36093 720091 76642 30566 449091 80985 25039 173091 85328 19511 893091 89671 13984 609091 94014 08457 320091 98357 02930 027092 02699 97402 730092 07042 91875 428
.0^092 11385 86348 122092 15728 80820 812092 20071 75293 497092 24414 69766 179092 28757 64238 855092 33100 58711 527092 37443 53184 195092 41786 47656 859092 46129 42129 518092 50472 36602 173
.0^092 54815 31074 824092 59158 25547 470092 63501 20020 112092 67844 14492 750092 72187 08965 383092 76530 03438 012092 80872 97910 636092 '^5215 92383 257092 89558 86855 872092 93901 81328 484
.0''092 98244 75801 091093 02587 70273 694093 06930 64746 293093 11273 59218 887093 15616 53691 476093 19959 48164 062093 24302 42636 643093 28645 37109 220093 32988 31581 792093 37331 26054 360
SMITHSONIAN LOGARITHMIC TABLES
246 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 247
xxxx
248 LOGARITHMIC TABLES TO THE BASE 10
xxxx
22512252225322542255225622572258225922602261226222632264226522662267226822692270227122722273227422752276227722782279228022812282228322842285228622872288228922902291229222932294229522962297229822992300
log XXXX
35237 54950 00519 98524 16535256 83861 79308 61952 20635276 11917 23830 82704 10135295 39117 10087 73550 59535314 65462 13979 34004 58735333 90953 11304 68256 42035353 15590 77762 03069 42035372 39375 88949 05635 80435391 62309 20363 01393 06135410 84391 47400 91800 89735430 05623 45359 72078 87235449 26005 89436 48904 81235468 45539 54728 58074 10935487 64225 16233 82120 01735506 82063 48850 67895 03635525 99055 27378 44113 50135545 15201 26517 38855 46335564 30502 20868 97031 98135583 44958 84935 97811 91035602 58571 93122 72010 30535621 71342 19735 19438 52635640 83270 38981 26216 15235659 94357 24970 82044 81435679 04603 51715 97444 02335698 14009 93131 20949 12435717 22577 23033 56271 45335736 30306 15142 79420 80335755 37197 43081 55790 30435774 43251 80375 57203 80835793 48470 00453 78925 88435812 52852 76648 56634 51635831 56400 82195 83356 60535850 59114 90235 26366 37535869 60995 73810 44046 77635888 62044 05869 02713 98135907 62260 59262 93405 07835926 61646 06748 48629 05635945 60201 20986 59081 16635964 57926 74542 90320 77635983 54823 39887 99412 79336002 50891 89397 51532 76736021 46132 95352 36535 75536040 40547 29938 85489 05436059 34135 65248 87168 88936078 26898 73280 04521 15136097 18837 25935 91086 28436116 09951 95026 07388 40936135 00243 52266 37288 78136153 89712 69279 04303 67336172 78360 17592 87886 778
log 1.0-^XXXX
.0''09 77486 86674 43424 20677921 06346 68535 99478355 26014 59548 84178789 45678 16462 83279223 65337 39278 05579657 84992 27994 59780092 04642 82612 54480526 24289 03131 98480960 43930 89553 00381394 63568 41875 687
.0^09 81828 83201 60100 12582263 02830 44226 40182697 22454 94254 60483131 42075 10184 82083565 61690 92017 13683999 81302 39751 63984434 00909 53388 41584868 20512 32927 55285302 40110 78369 13585736 59704 89713 252
.0^09 86170 79294 66959 99086604 98880 10109 43687039 18461 19161 67687473 38037 94116 79787907 57610 34974 88588341 77178 41736 02988775 96742 14400 31489210 16301 52967 82789644 35856 57438 65590078 55407 27812 885
.0^09 90512 74953 64090 60490946 94495 66271 89891381 14033 34356 85491815 33566 68345 56092249 53095 68238 10292683 72620 34034 56693117 92140 65735 03993552 11656 63339 60993986 31168 26848 36294420 50675 56261 385
.0^09 94854 70178 51578 76495288 89677 12800 58795723 09171 39926 94096157 28661 32957 91196591 48146 91893 58597025 67628 16734 04997459 87105 07479 39297894 06577 64129 69898328 26045 86685 05698762 45509 75145 551
log i.o'xxxx
.0^097 75968 67761 367097 80311 62233 492097 84654 56705 613097 88997 51177 729097 93340 45649 842097 97683 40121 949098 02026 34594 053098 06369 29066 152098 10712 23538 246098 15055 18010 337
.0^098 19398 12482 423098 23741 06954 505098 28084 01426 582098 32426 95898 655098 36769 90370 724098 41112 84842 788098 45455 79314 848098 49798 73786 903098 54141 68258 955098 58484 62731 002
.0''098 62827 57203 044098 67170 51675 082098 71513 46147 116098 75856 40619 14B098 80199 35091 171098 84542 29563 192098 88885 24035 209098 93228 18507 221098 97571 12979 229099 01914 07451 232
.0^099 06257 01923 231099 10599 96395 226099 14942 90867 217099 19285 85339 203099 23628 79811 185099 27971 74283 162099 32314 68755 135099 36657 63227 104099 41000 57699 068099 45343 52171 028
.0^099 49686 46642 984099 54029 41114 936099 58372 35586 883099 62715 30058 825099 67058 24530 764099 71401 19002 698099 75744 13474 627099 80087 07946 553099 84430 02418 474099 88772 96890 390
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 249
xxxx log xxxx log l.O^XXXX log i.o'xxxx
23012302230323042305230623072308230923102311231223132314231523162317231823192320232123222323232423252326232723282329233023312332233323342335233623372338233923402341234223432344234523462347234823492350
36191 66186 68643 39676 21936210 53192 93772 99706 27036229 39379 64231 12583 86536248 24747 51174 43629 99736267 09297 25666 94986 09436285 93029 58680 21685 47136304 75945 21093 47689 93236323 58044 83693 81891 63136342 39329 17176 34080 27336361 19798 92144 30875 74436379 99454 79109 31626 26636398 78297 48491 44272 15636417 56327 70619 41175 29536436 33546 15730 74914 37936455 09953 53971 94046 04536473 85550 55398 58831 97436492 60337 89975 56932 03636511 34316 27577 19063 58236530 07486 37987 34626 97236548 79848 90899 67297 40636567 51404 55917 70583 17636586 22154 02555 03350 39136604 92098 00235 45314 29736623 61237 18293 12497 24536642 29572 25972 72653 42536660 97103 92429 60660 42036679 63832 86729 93877 68936698 29759 77850 87472 06136716 94885 34680 69710 31036735 59210 26018 97218 91436754 22735 20576 70211 07236772 85460 86976 47681 06736791 47387 93752 62566 05536810 08517 09351 36875 37136828 68849 02130 96787 43136847 28384 40361 87714 30836865 87123 92226 89334 07736884 45068 25821 30591 00336903 02218 09153 04663 65436921 58574 10142 83901 03036940 14136 96624 34726 77636958 68907 36344 32511 57836977 22885 96962 76413 80636995 76073 46053 04188 49837014 28470 51102 06964 76137032 80077 79510 43991 67137051 30895 98592 57352 75137069 80925 75576 86649 10437088 30167 77605 83651 29637106 78622 71736 26920 048
.0^09 99196 64969 29511 27199630 84424 49782 303
. 0^10 00065 03875 35958 73200499 23321 88040 64700933 42764 06028 13401367 62201 89921 27901801 81635 39720 17002236 01064 55424 89302670 20489 37035 53503104 39909 84552 183
. 0^10 03538 59325 97974 92403972 78737 77303 84404406 98145 22539 03004841 17548 33680 56905275 36947 10728 54805709 56341 53683 05406143 75731 62544 17306577 95117 37311 99307012 14498 77986 59907446 33875 84568 080
.0^10 07880 53248 57056 52108314 72616 95452 00908748 91980 99754 63209183 11340 69964 47509617 30696 06081 62710051 50047 08106 17310485 69393 76038 20010919 88736 09877 79611354 08074 09625 04711788 27407 75280 039
.0^10 12222 46737 06842 86012656 66062 04313 59713090 85382 67692 33613525 04698 96979 16413959 24010 92174 16714393 43318 53277 43314827 62621 80289 04915261 81920 73209 10115696 01215 32037 67616130 20505 56774 860
.0^10 16564 39791 47420 74216998 59073 03975 40617432 78350 26438 94117866 97623 14811 43318301 16891 69092 96818735 36155 89283 63519169 55415 75383 51819603 74671 27392 70620037 93922 45311 28520472 13169 29139 341
.0^099 93115 91362 303099 97458 85834 211100 01801 80306 114100 06144 74778 014100 10487 69249 908100 14830 63721 799100 19173 58193 685100 23516 52665 567100 27859 47137 445100 32202 41609 318
.O'^IOO 36545 36081 187100 40888 30553 051100 45231 25024 912100 49574 19496 767100 53917 13968 619100 58260 08440 466100 62603 02912 309100 66945 97384 147100 71288 91855 982100 75631 86327 811
.O'^IOO 79974 80799 637100 84317 75271 458100 88660 69743 275100 93003 64215 087100 97346 58686 895101 01689 53158 699101 06032 47630 498101 10375 42102 293101 14718 36574 084101 19061 31045 870
. o'^lOl 23404 25517 652101 27747 19989 430101 32090 14461 203101 36433 08932 972101 40776 03404 737101 45118 97876 497101 49461 92348 253101 53804 86820 005101 58147 81291 752101 62490 75763 495O'^IOI 66833 70235 234101 71176 64706 968101 75519 59178 698101 79862 53650 423101 84205 48122 145101 88548 42593 862101 92891 37065 574101 97234 31537 282102 01577 26008 986102 05920 20480 686
SMITHSONIAN LOGARITHMIC TABLES
250 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 251
xxxx
252 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 233
xxxx
254 LOGARITHMIC TABLES TO THE BASE 10
XXXX log XXXX log l.O^XXXX log i.o'xxxx
255125522553255425552556255725582559256025612562256325642565256625672568256925702571257225732574257525762577257825792580258125822583258425852586258725882589259025912592259325942595
40671 04586 09790 02937 87940688 06700 49124 71372 42640705 08148 04250 31297 12640722 08929 27396 48182 34040739 09044 70731 53657 28640756 08494 86362 55111 03640773 07280 26335 45274 74540790 05401 42635 11785 14440807 02858 87185 46729 34440823 99653 11849 56170 99140840 95784 68429 69657 82540857 91254 08667 49710 67340874 86061 84244 01293 93440891 80208 46779 81267 58540908 73694 47835 07820 76840925 66520 38909 69886 97840942 58686 71443 36540 92440959 50193 96815 66377 07940976 41042 66346 16869 97540993 31233 31294 53716 29041010 20766 42860 60158 75641027 09642 52184 46291 94241043 97862 10346 58349 94641060 85425 68367 87976 05041077 72333 77209 81474 35941094 58586 87774 49043 49541111 44185 50904 73992 35741128 29130 17384 21938 01741145 13421 37937 49985 76741161 97059 63230 15891 38541178 80045 43868 87205 63941195 62379 30401 50401 07941212 44061 73317 19981 16841229 25093 23046 47571 77241246 05474 29961 30995 06841262 85205 44375 23325 90541279 64287 16543 41930 65341296 42719 96662 77488 59141313 20504 34872 02995 86641329 97640 81251 82752 06741346 74129 85824 81329 45341363 49971 98555 72524 88141380 25167 69351 48294 45841396 99717 48061 27670 98041413 73621 84476 65664 1822596 41430 46881 28331 62143 8332597 41447 19496 29302 70705 7422598 41463 91467 37009 07520 6832599 41480 62795 01012 60166 3002600 41497 33479 70817 96442 024
. O-'ll 07743 93660 26119 33608178 12030 25441 48108612 30395 90690 72309046 48757 21867 14909480 67114 18970 84609914 85466 82001 90010349 03815 10960 39910783 22159 05846 42911217 40498 66660 07611651 58833 93401 429
.0^11 12085 77164 86070 57312519 95491 44667 59512954 13813 69192 58213388 32131 59645 62213822 50445 16026 80014256 68754 38336 20314690 87059 26573 91915125 05359 80740 03315559 23656 00834 63415993 41947 86857 807
.0^11 16427 60235 38809 64016861 78518 56690 21917295 96797 40499 63117730 15071 90237 96318164 33342 05905 30118598 51607 87501 73319032 69869 35027 34519466 88126 48482 22319901 06379 27866 45620335 24627 73180 129
.0^11 20769 42871 84423 33021203 61111 61596 14521637 79347 04698 66022071 97578 13730 96422506 15804 88693 14222940 34027 29585 28123374 52245 36407 46823808 70459 09159 79024242 88668 47842 33424677 06873 52455 1870^11 25111 25074 22998 43425545 43270 59472 16425979 61462 61876 46326413 79650 30211 41726847 97833 64477 11427282 16012 64673 64027716 34187 30801 08128150 52357 62859 52628584 70523 60849 06029018 88685 24769 771
. O'llO 78852 09204 120110 83195 03674 942110 87537 98145 760110 91880 92616 573110 96223 87087 382111 00566 81558 187111 04909 76028 988111 09252 70499 784111 13595 64970 576111 17938 59441 363
, o'^lll 22281 53912 146111 26624 48382 925111 30967 42853 700111 35310 37324 470HI 39653 31795 236111 43996 26265 997111 48339 20736 754111 52682 15207 507111 57025 09678 255111 61368 04148 9990^111 65710 98619 739111 70053 93090 474111 74396 87561 205111 78739 82031 932111 83082 76502 654111 87425 70973 372111 91768 65444 086HI 96111 59914 795112 00454 54385 500112 04797 48856 201
o''ll2 09140 43326 897112 13483 37797 589112 17826 32268 277112 22169 26738 960112 26512 21209 639112 30855 15680 314112 35198 10150 984112 39541 04621 650112 43883 99092 311112 48226 93562 9680''ll2 52569 88033 621112 56912 82504 270112 61255 76974 914112 65598 71445 554112 69941 65916 189112 74284 60386 820112 78627 54857 447112 82970 49328 070112 87313 43798 688112 91656 38269 302
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 255
xxxx
256 LOGARITHMIC TABLES TO THE BASE 10
XXXX
LOGARITHMIC TABLES TO THE BASE 10 257
xxxx
258 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 259
xxxx log XXXX log l.O^XXXX
2801 44731 31088 23568 20491 6112802 44746 81309 49755 79559 6822803 44762 30977 60286 12389 0632804 44777 80092 94621 04749 1502805 44793 28655 92180 21137 1662806 44808 76666 92341 10796 7262807 44824 24126 34439 13725 6862808 44839 71034 57767 66673 2812809 44855 17392 01578 09126 5982810 44870 63199 05079 89286 3922811 44886 08456 07440 70032 2602812 44901 53163 47786 34877 2262813 44916 97321 65200 93911 7212814 44932 40930 98726 89737 Oil2815 44947 83991 87365 03388 0842816 44963 26504 70074 60246 Oil2817 44978 68469 85773 35939 8182818 44994 09887 73337 62237 8842819 45009 50758 71602 32928 8822820 45024 91083 19361 09692 2992821 45040 30861 55366 27958 5432822 45055 70094 18329 02758 6672823 45071 08781 46919 34563 7332824 45086 46923 79766 15113 8292825 45101 84521 55457 33236 7752826 45117 21575 12539 80656 5282827 45132 58084 89519 57791 3102828 45147 94051 24861 79541 4882829 45163 29474 56990 81067 2222830 45178 64355 24290 23555 8952831 45193 98693 65102 99979 3702832 45209 32490 17731 40841 0642833 45224 65745 20437 19912 8922834 45239 98459 11441 59962 0762835 45255 30632 28925 38467 8592836 45270 62265 11028 93328 1362837 45285 93357 95852 28556 0262838 45301 23911 21455 19966 4052839 45316 53925 25857 20852 4252840 45331 83400 47037 67652 0312841 45347 12337 22935 85604 5142842 45362 40735 91450 94397 1022843 45377 68596 90442 13801 6182844 45392 95920 57728 69301 2352845 45408 22707 31089 97707 3322846 45423 48957 48265 52766 4812847 45438 74671 46955 10757 5922848 45453 99849 64818 76079 2242849 45469 24492 39476 86827 0872850 45484 48600 08510 20361 762
log i.o'xxxx
0'^12 16288 51055 60867 91516722 68340 44665 70117156 85620 94412 28117591 02897 10107 74318025 20168 91752 17218459 37436 39345 65718893 54699 52888 28319327 71958 32380 13819761 89212 77821 30720196 06462 89211 879
.0^12 20630 23708 66551 94021064 40950 09841 57621498 58187 19080 87421932 75419 94269 92122366 92648 35408 80522801 09872 42497 61123235 27092 15536 42623669 44307 54525 33824103 61518 59464 43324537 78725 30353 797
.0^12 24971 95927 67193 51925406 13125 69983 68325840 30319 38724 37826274 47508 73415 69026708 64693 74057 70627142 81874 40650 51227576 99050 73194 19528011 16222 71688 84328445 33390 36134 54128879 50553 66531 377
.0^12 29313 67712 62879 43829747 84867 25178 81030182 02017 53429 57930616 19163 47631 83431050 36305 07785 66031484 53442 33891 14531918 70575 25948 37532352 87703 83957 43732787 04828 07918 41733221 21947 97831 4030^12 33655 39063 53696 48234089 56174 75513 73934523 73281 63283 26334957 90384 17005 13935392 07482 36679 45435826 24576 22306 29636260 41665 73885 75136694 58750 91417 90637128 75831 74902 84737562 92908 24340 661
0^121 64588 26774 503121 68931 21244 239121 73274 15713 971121 77617 10183 699121 81960 04653 422121 86302 99123 142121 90645 93592 856121 94988 88062 567121 99331 82532 273122 03674 77001 975
.o''l22 08017 71471 672122 12360 65941 365122 16703 60411 054122 21046 54880 738122 25389 49350 418122 29732 43820 094122 34075 38289 765122 38418 32759 432122 42761 27229 095122 47104 21698 753
.0^122 51447 16168 407122 55790 10638 057122 60133 05107 702122 64475 99577 343122 68818 94046 980122 73161 88516 612122 77504 82986 240122 81847 77455 863122 86190 71925 483122 90533 66395 0980''l22 94876 60864 708122 99219 55334 314123 03562 49803 916123 07905 44273 514123 12248 38743 107123 16591 33212 696123 20934 27682 280123 25277 22151 860123 29620 16621 436123 33963 11091 008
.0''l23 38306 05560 575123 42649 00030 138123 46991 94499 696123 51334 88969 250123 55677 83438 800123 60020 77908 345123 64363 72377 886123 68706 66847 423123 73049 61316 955123 77392 55786 483
SMITHSONIAN LOGARITHMIC TABLES
260 LOGARITHMIC TABLES TO THE BASE 10
XXXX
28512852285328542855285628572858285928602861286228632864286528662867286828692870287128722873287428752876287728782879288028812882288328842885288628872888288928902891289228932894289528962897289828992900
log XXXX
45499 72173 09459 98866 65445514 95211 79827 94896 19645530 17716 57076 36914 32845545 39687 78628 14823 28045560 61125 81866 85482 65545575 82031 04136 78218 86345591 02403 82743 00324 90545606 22244 54951 42550 53045621 41553 57988 84582 79745636 60331 29043 00517 04445651 78578 05262 64318 30745666 96294 23757 55273 18145682 13480 21598 63432 17245697 30136 35817 95042 53445712 46263 03408 77971 63345727 61860 61325 67120 84345742 76929 46484 49829 99745757 91469 95762 51272 41745773 05482 45998 39840 54145788 18967 33992 32522 16345803 31924 96506 00267 31045818 44355 70262 73345 77545833 56259 91947 46695 31845848 67637 98206 85260 57345863 78490 25649 29322 65645878 88817 10844 99819 51345893 98618 90326 03657 01745909 07896 00586 39010 83945924 16648 78082 00619 10745939 24877 59230 85065 87545954 32582 80412 96055 42245969 39764 77970 49677 39945984 46423 88207 79662 84445999 52560 47391 42631 07746014 58174 91750 23327 50946029 63267 57475 39852 37246044 67838 80720 48880 38446059 71888 97601 50871 38846074 75418 44196 95271 96246089 78427 56547 85708 03446104 80916 70657 85168 50946119 82886 22493 21179 93946134 84336 47982 90972 24346149 85267 83018 66635 50446164 85680 63455 00267 85346179 85575 25109 29114 47046194 84952 03761 80697 71146209 83811 35155 77938 37946224 82153 54997 44268 16846239 79978 98956 08733 285
log l.O^'XXXX
0^12 37997 09980 39731 43638431 27048 21075 25838865 44111 68372 21339299 61170 81622 38939733 78225 60825 87240167 95276 05982 75040602 12322 17093 10841036 29363 94157 03441470 46401 37174 61441904 63434 46145 9360^12 42338 80463 21071 08542772 97487 61950 15043207 14507 68783 21643641 31523 41570 37044075 48534 80311 69944509 65541 85007 29144943 82544 55657 23145377 99542 92261 60645812 16536 94820 50446246 33526 63334 Oil
.0^12 46680 50511 97802 21447114 67492 98225 19947548 84469 64603 05447983 01441 96935 86548417 18409 95223 71948851 35373 59466 70349285 52332 89664 90449719 69287 85818 40750153 86238 47927 30150588 03184 75991 672
.0^12 51022 20126 70011 60651456 37064 29987 19151890 53997 55918 51452324 70926 47805 66052758 87851 05648 71753193 04771 29447 77253627 21687 19202 91154061 38598 74914 22154495 55505 96581 78954929 72408 84205 702
.0^12 55363 89307 37786 04755798 06201 57322 90956232 23091 42816 37756666 39976 94266 53757100 56858 11673 47557534 73734 95037 27957968 90607 44358 03658403 07475 59635 83158837 24339 40870 75259271 41198 88062 885
log l.O^XXXX
0''l23 81735 50256 007123 86078 44725 526123 90421 39195 041123 94764 33664 552123 99107 28134 058124 03450 22603 560124 07793 17073 058124 12136 11542 551124 16479 06012 040124 20822 00481 5250''l24 25164 94951 005124 29507 89420 481124 33850 83889 953124 38193 78359 420124 42536 72828 883124 46879 67298 341124 51222 61767 795124 55565 56237 245124 59908 50706 691124 64251 45176 1320''l24 68594 39645 569124 72937 34115 001124 77280 28584 429124 81623 23053 853124 85966 17523 273124 90309 11992 688124 94652 06462 099124 98995 00931 505125 03337 95400 907125 07680 89870 305
. 0''l25 12023 84339 698125 16366 78809 087125 20709 73278 472125 25052 67747 852125 29395 62217 228125 33738 56686 600125 38081 51155 967125 42424 45625 330125 46767 40094 689125 51110 34564 043
. 0''l25 55453 29033 393125 59796 23502 739125 64139 17972 080125 68482 12441 417125 72825 06910 750125 77168 01380 078125 81510 95849 402125 85853 90318 722125 90196 84788 037125 94539 79257 348
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 261
xxxx
262 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 263
xxxx
30013002300330043005300630073008300930103011301230133014301530163017301830193020302130223023302430253026302730283029303030313032303330343035303630373038303930403041304230433044304530463047304830493050
log XXXX
47726 59954 24852 62460 29447741 06879 07251 58474 48947755 53321 98981 07796 39547769 99283 32130 78017 34647784 44763 38758 32567 21147798 89762 50889 34978 78747813 34281 00517 53145 10747827 78319 19604 63569 66547842 21877 40080 55609 58547856 64955 93843 35711 73047871 07555 12759 31641 78447885 49675 28662 96706 30647899 91316 73357 13967 78347914 32479 78613 00452 68747928 73164 76170 11352 54547943 13371 97736 44218 05747957 53101 74988 43146 25047971 92354 39571 02960 69947986 31130 23097 73384 82648000 69429 57150 63208 28148015 07252 73280 44446 43548029 44600 03006 56492 98348043 81471 77817 10265 68148058 17868 29168 92345 22648072 53789 88487 69107 29248086 89236 87167 90847 74548101 24209 56572 95901 03148115 58708 28035 14751 77148129 92733 32855 74139 56448144 26285 02305 01157 02248158 59363 67622 27341 02848172 91969 60015 92757 26848187 24103 10663 50078 00748201 55764 50711 68653 16048215 86954 11276 38574 64648230 17672 23442 74734 04848244 47919 18265 20873 59948258 77695 26767 53630 48848273 07000 79942 86574 51948287 35836 08753 74239 12948301 64201 44132 16145 77048315 92097 16979 60821 68148330 19523 58167 09811 05548344 46480 98535 21679 62048358 72969 68894 16012 63548372 98990 00023 77406 33148387 24542 22673 59452 79648401 49626 67562 88718 32348415 74243 65380 68715 23748429 98393 46785 83867 201
log l.O^XXXX
0''13 03122 21648 15417 99903556 38064 90701 68503990 54477 31951 52104424 70885 39167 59604858 87289 12349 99505293 03688 51498 80605727 20083 56614 11506161 36474 27696 00906595 52860 64744 57507029 69242 67759 8990^13 07463 85620 36742 06907898 01993 71691 17108332 18362 72607 29208766 34727 39490 51809200 51087 72340 93809634 67443 71158 63610068 83795 35943 70010503 00142 66696 21810937 16485 63416 27511371 32824 26103 958
,0^13 11805 49158 54759 35512239 65488 49382 55112673 81814 09973 63413107 98135 36532 69113542 14452 29059 80813976 30764 87555 07214410 47073 12018 57014844 63377 02450 38915278 79676 58850 61515712 95971 81219 335
.0^13 16147 12262 69556 63716581 28549 23862 60617015 44831 44137 32917449 61109 30380 89417883 77382 82593 38718317 93652 00774 89518752 09916 84925 50519186 26177 35045 30319620 42433 51134 37620054 58685 33192 811
.0^13 20488 74932 81220 69520922 91175 95218 11521357 07414 75185 15721791 23649 21121 90822225 39879 33028 45522659 56105 10904 88423093 72326 54751 28323527 88543 64567 73923962 04756 40354 33724396 20964 82111 165
log l.O^XXXX
0^130 33177 20635 376130 37520 15104 244130 41863 09573 108130 46206 04041 967130 50548 98510 822130 54891 92979 673130 59234 87448 519130 63577 81917 361130 67920 76386 198130 72263 70855 0310^130 76606 65323 860130 80949 59792 685130 85292 54261 505130 89635 48730 320130 93978 43199 132130 98321 37667 939131 02664 32136 742131 07007 26605 540131 11350 21074 334131 15693 15543 124
.0''l31 20036 10011 909131 24379 04480 690131 28721 98949 467131 33064 93418 239131 37407 87887 007131 41750 82355 771131 46093 76824 530131 50436 71293 285131 54779 65762 036131 59122 60230 782
.o''l31 63465 54699 524131 67808 49168 262131 72151 43636 995131 76494 38105 724131 80837 32574 449131 85180 27043 169131 89523 21511 885131 93866 15980 596131 98209 10449 304132 02552 04918 007
.0''l32 06894 99386 705132 11237 93855 399132 15580 88324 089132 19923 82792 775132 24266 77261 456132 28609 71730 133132 32952 66198 805132 37295 60667 473132 41638 55136 137132 45981 49604 796
SMITHSONIAN LOGARITHMIC TABLES
264 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 265
xxxx
266 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 267
xxxx
268 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 269
xxxx
270 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 271
XXXX
3401340234033404340534063407340834093410341134123413341434153416341734183419342034213422342334243425342634273428342934303431343234333434
log XXXX
53160 66319 32722 13110 67253173 43092 76550 21240 10953186 19490 95809 39834 21753198 95514 12550 26610 37153211 71162 48803 96218 43453224 46436 26582 22523 03053237 21335 67877 40882 46053249 95860 94662 50424 28153262 70012 28891 16317 54253275 43789 92497 72041 69053288 17194 07397 21652 15253300 90224 95485 42042 58953313 62882 78638 85203 84653326 35167 78714 80479 58253339 07080 17551 36818 60953351 78620 16967 45023 91853364 49787 98762 79998 43353377 20583 84718 02987 46153389 91007 96594 63817 87453402 61060 56135 03134 01353415 30741 85062 54630 32253428 00052 05081 47280 72453440 68991 37877 07564 73453453 37560 05115 61690 32453466 05758 28444 37813 54553478 73586 29491 68254 90553491 41044 29866 91712 51453504 08132 51160 55472 00153516 74851 14944 17613 20753529 41200 42770 49213 66553542 07180 56173 36548 86153554 72791 76667 83289 29553567 38034 25750 12694 34153580 02908 24897 69802 910
log l.O^XXXX
3435 53592 67413 95569 23620 922343634373438343934403441344234433444344534463447344834493450
53605 31551 59204 69305 60253617 95321 37225 30346 59153630 58723 51033 60743 88453643 21758 22013 47182 60853655 84425 71530 11204 63053668 46726 20930 11377 01853681 08659 91541 45457 34153693 70227 04673 52555 83353706 31427 81617 15294 41353718 92262 43644 61962 57653731 52731 12009 68670 14453744 12834 07947 61496 91053756 72571 52675 18639 15053769 31943 67390 72553 03053781 90950 73274 12094 907
O^'H 76784 41999 46455 37477218 56680 15124 33877652 71356 49794 16478086 86028 50464 93778521 00696 17136 74678955 15359 49809 67679389 30018 48483 81579823 44673 13159 24880257 59323 43836 06480691 73969 40514 3480^14 81125 88611 03194 18881560 03248 31875 67181994 17881 26558 88282428 32509 87243 90982862 47134 13930 83983296 61754 06619 75783730 76369 65310 75384164 90980 90003 91184599 05587 80699 31885033 20190 37397 062
,0^14 85467 34788 60097 23085901 49382 48799 90786335 63972 03505 18186769 78557 24213 13887203 93138 10923 86687638 07714 63637 45188072 22286 82353 98088506 36854 67073 53988940 51418 17796 21689374 65977 34522 096
.0^14 89808 80532 17251 26890242 95082 65983 81790677 09628 80719 83191111 24170 61459 39691545 38708 08202 59991979 53241 20949 52792413 67769 99700 26692847 82294 44454 90393281 96814 55213 52693716 11330 31976 220
.0^14 94150 25841 74743 07394584 40348 83514 17295018 54851 58289 60295452 69349 99069 45195886 83844 05853 80696320 98333 78642 75496755 12819 17436 38197189 27300 22234 77397623 41776 93038 01998057 56249 29846 204
log i.o'xxxx
0'147 70355 07835 971147 74698 02301 102147 79040 96770 228147 83383 91237 350147 87726 85704 468147 92069 80171 581147 96412 74638 690148 00755 69105 795148 05098 63572 895148 09441 58039 9910^148 13784 52507 083148 18127 46974 170148 22470 41441 253148 26813 35908 331148 31156 30375 406148 35499 24842 476148 39842 19309 541148 44185 13776 602148 48528 08243 659148 52871 02710 712
.0^148 57213 97177 760148 61556 91644 804148 65899 86111 844148 70242 80578 879148 74585 75045 910148 78928 69512 936148 83271 63979 958148 87614 58446 976148 91957 52913 989148 96300 47380 999
.0^149 00643 41848 003149 04986 36315 004149 09329 30782 000149 13672 25248 992149 18015 19715 979149 22358 14182 962149 26701 08649 941149 31044 03116 915149 35386 97583 885149 39729 92050 8510''l49 44072 86517 812149 48415 80984 769149 52758 75451 722149 57101 69918 670149 61444 64385 614149 65787 58852 554149 70130 53319 489149 74473 47786 420149 78816 42253 347149 83159 36720 269
SMITHSONIAN LOGARITHMIC TABLES
272 LOGARITHMIC TABLES TO THE BASE 10
XXXX log XXXX log l.O'^XXXX log l.O^XXXX
53794 49592 91486 84658 52353807 07870 43171 98309 11153819 65783 49454 23914 39953832 23332 31439 97272 54253844 80517 10217 21236 96353857 37338 06855 67838 12653869 93795 42406 80402 23653882 49889 37903 75666 87953895 05620 14361 45893 60053907 60987 92776 60977 42753920 15992 94127 70553 35153932 70635 39375 06099 76053945 24915 49460 83038 83853957 78833 45309 02833 92853970 32389 47825 55083 87353982 85583 77898 19614 33153995 38416 56396 68566 07554007 90888 04172 68480 28554020 42998 42059 82380 82654032 94747 90873 71853 53654045 46136 71411 99122 50854057 97165 04454 29123 38854070 47833 10762 31573 68554082 98141 11079 83040 10354095 48089 26132 69002 89654107 97677 76628 85917 25054120 46906 83258 43271 71154132 95776 66693 65643 64154145 44287 47588 94751 72654157 92439 46580 91505 53554170 40232 84288 38052 13154182 87667 81312 39819 74654195 34744 58236 27558 52054207 81463 35625 59378 31154220 27824 34028 22783 58454232 73827 73974 36705 37454245 19473 75976 53530 34354257 64762 60529 61126 92154270 09694 48110 84868 54854282 54269 59179 89654 01754294 98488 14178 81924 91654307 42350 33532 11680 19054319 85856 37646 74487 81254332 29006 46912 13493 58254344 71800 81700 21427 04354357 14239 62365 42604 53354369 56323 09244 74929 37354381 98051 42657 71889 19654394 39424 82906 44550 414
.0^14 98491 70717 32659 41598925 85181 01477 73999359 99640 36301 26399794 14095 37130 074
.0^15 00228 28546 03964 25800662 42992 36803 90201096 57434 35649 09301530 71872 00499 91801964 86305 31356 46302399 00734 28218 815
.0^15 02833 15158 91087 06203267 29579 19961 28903701 43995 14841 58304135 58406 75728 03204569 72814 02620 72205003 87216 95519 74005438 01615 54425 17205872 16009 79337 10606306 30399 70255 62806740 44785 27180 824
.0^15 07174 59166 50112 78307608 73543 39051 58908042 87915 93997 33108477 02284 14950 09508911 16648 01909 96809345 31007 54877 03609779 45362 73851 38710213 59713 58833 10610647 74060 09822 28111081 88402 26819 000
.0^15 11516 02740 09823 34711950 17073 58835 41012384 31402 73855 27612818 45727 54883 03213252 60048 01918 76413686 74364 14962 56014120 88675 94014 50514555 02983 39074 68714989 17286 50143 19315423 31585 27220 1090^15 15857 45879 70305 52216291 60169 79399 51916725 74455 54502 18617159 88736 95613 61017594 03014 02733 87918028 17286 75863 07918462 31555 15001 29618896 45819 20148 61819330 60078 91305 13019764 74334 28470 921
.0*^149 87502 31187 187149 91845 25654 101149 96188 20121 010150 00531 14587 915150 04874 09054 815150 09217 03521 711150 13559 97988 603150 17902 92455 491150 22245 86922 374150 26588 81389 253
.0'^150 30931 75856 127150 35274 70322 997150 39617 64789 863150 43960 59256 725150 48303 53723 582150 52646 48190 435150 56989 42657 283150 61332 37124 127150 65675 31590 967150 70018 26057 802
. 0''l50 74361 20524 633150 78704 14991 460150 83047 09458 282150 87390 03925 101150 91732 98391 914150 96075 92858 724151 00418 87325 529151 04761 81792 329151 09104 76259 126151 13447 70725 9180'^151 17790 65192 705151 22133 59659 488151 26476 54126 267151 30819 48593 042151 35162 43059 812151 39505 37526 578151 43848 31993 340151 48191 26460 097151 52534 20926 850151 56877 15393 5980^151 61220 09860 343151 65563 04327 082151 69905 98793 818151 74248 93260 549151 78591 87727 276151 82934 82193 998151 87277 76660 717151 91620 71127 430151 95963 65594 140152 00306 60060 845
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 273
xxxx
274 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 275
xxxx
276 LOGARITHMIC TABLES TO THE BASE 10
xxxx log XXXX log i.o^'xxxx log i.o'xxxx
36513652365336543655365636573658365936603661366236633664366536663667366836693670367136723673367436753676367736783679368036813682368336843685368636873688368936903691369236933694369536963697369836993700
56241 18329 49727 42616 15356253 07688 62261 33501 04456264 96722 11916 66207 04256276 85430 16518 98784 88656288 73812 93879 25973 15256300 61870 61793 80799 47656312 49603 38044 36179 58056324 37011 40398 06514 11056336 24094 86607 49283 30156348 10853 94410 66639 45256359 97288 81531 06997 23456371 83399 65677 66621 82556383 69186 64544 91214 87156395 54649 95812 77498 28956407 39789 77146 74795 90756419 24606 26197 86612 94956431 09099 60602 72213 35756442 93269 97983 48194 97556454 77117 55947 90062 57656466 60642 52089 33798 75356478 43845 03986 77432 66456490 26725 29204 82606 64756502 09283 45293 76140 69356513 91519 69789 51594 80156525 73434 20213 70829 19856537 55027 14073 65562 44056549 36298 68862 38927 39356561 17249 02058 67025 10356572 97878 31127 00476 54656584 78186 73517 65972 27356596 58174 46666 67819 95656608 37841 67995 89489 81956620 17188 54912 95157 98356631 96215 24811 31247 71156643 74921 95070 27968 55956655 53308 83055 00853 44356667 31376 06116 52293 62156679 09123 81591 73071 59056690 86552 26803 43891 90956702 63661 59060 36909 94756714 40451 95657 17258 55656726 16923 53874 44572 68156737 93076 50978 74511 90456749 68911 04222 60280 92556761 44427 30844 54147 98556773 19625 48069 08961 24056784 94505 73106 79663 07856796 69068 23154 24802 39256808 43313 15394 08044 80156820 17240 66994 99680 845
.0^15 85319 77091 13761 45585753 90686 85346 41286188 04278 22953 92386622 17865 26584 07487056 31447 96236 95187490 45026 31912 64287924 58600 33611 23288358 72170 01332 81088792 85735 35077 46289226 99296 34845 273
.0^15 89661 12853 00636 33390095 26405 32450 72690529 39953 30288 53990963 53496 94149 86191397 67036 24034 77691831 80571 19943 37392265 94101 81875 73792700 07628 09831 95693134 21150 03812 11693568 34607 63816 305
. 0^15 94002 48180 89844 60894436 61689 81897 11394870 75194 39973 90695304 88694 64075 07495739 02190 54200 70596173 15682 10350 88396607 29169 32525 69897041 42652 20725 23497475 56130 74949 58097909 69604 95198 8210^15 98343 83074 81473 04598777 96540 33772 33899212 10001 52096 78699646 23458 36446 4780^16 00080 36910 86821 49900514 50359 03221 93700948 63802 85647 87701382 77242 34099 40801816 90677 48576 61502251 04108 29079 5850^16 02685 17534 75608 40603119 30956 88163 16303553 44374 66743 94403987 57788 11350 83504421 71197 21983 92404855 84601 98643 29605289 98002 41329 03905724 11398 50041 24006158 24790 24779 98406592 38177 65545 360
. 0''l58 56091 24483 478158 60434 18949 523158 64777 13415 564158 69120 07881 601158 73463 02347 632158 77805 96813 660158 82148 91279 683158 86491 85745 702158 90834 80211 716158 95177 74677 727
,0^58 99520 69143 732159 03863 63609 734159 08206 58075 731159 12549 52541 724159 16892 47007 713159 21235 41473 697159 25578 35939 677159 29921 30405 652159 34264 24871 623159 38607 19337 590
o''l59 42950 13803 553159 47293 08269 511159 51636 02735 465159 55978 97201 414159 60321 91667 359159 64664 86133 300159 69007 80599 237159 73350 75065 168159 77693 69531 096159 82036 63997 0190^159 86379 58462 939159 90722 52928 853159 95065 47394 764159 99408 41860 670160 03751 36326 571160 08094 30792 469160 12437 25258 362160 16780 19724 250160 21123 14190 135160 25466 08656 0140^160 29809 03121 890160 34151 97587 761160 38494 92053 628160 42837 86519 491160 47180 80985 349160 51523 75451 203160 55866 69917 053160 60209 64382 898160 64552 58848 739160 68895 53314 575
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 2J7
xxxx log XXXX log i.o-*xxxx log i.o^xxxx
37013702370337043705370637073708370937103711371237133714371537163717371837193720 57054 29398 81897 50738 921372137223723372437253726372737283729373037313732373337343735373637373738373937403741374237433744374537463747374837493750
56831 90850 95111 78132 12656843 64144 16885 31455 42356855 37120 49442 58844 77756867 09780 09896 72131 54156878 82123 15346 97282 41356890 54149 82878 75895 44256902 25860 29563 66694 02156913 97254 724j9 47018 86056925 68333 28610 14317 95156937 39096 15045 87634 52156949 09543 48783 09092 98756960 79675 46824 45382 90256972 49492 26158 89240 90456984 18994 03761 60930 67356995 88180 96594 09720 89357007 57053 21604 15361 22557019 25610 95725 89556 29357030 93854 35879 77437 69557042 61783 58972 59034 024
57065 96700 21534 06777 15057077 63687 94748 20668 70657089 30362 18392 26690 95857100 96723 09305 01338 82457112 62770 84311 64782 98957124 28505 60223 82326 16357135 93927 53839 65857 39257147 59036 81943 75304 40957159 23833 61307 20084 04557170 88318 08687 60550 69057182 52490 40829 09442 81357194 16350 74462 33327 55357205 79899 26304 54043 35957217 43136 13059 50140 71157229 06061 51417 58320 90857240 68675 58055 74872 92757252 30978 49637 57108 36457263 92970 42813 24794 45357275 54651 54219 61585 16757287 16022 00480 16450 41157298 77081 98205 05103 29657310 37831 63991 11425 51557321 98271 14421 88890 80857333 58400 66067 61986 52657345 18220 35485 27633 30257356 77730 39218 56602 82357368 36930 93797 94933 70957379 95822 15740 65345 50557391 54404 21550 68650 78757403 12677 27718 85165 381
.O^ie 07026 51560 72337 45407460 64939 45156 35207894 78313 84002 14108328 91683 88874 90808763 05049 59774 74009197 18410 96701 72409631 31767 99655 94610065 45120 68637 49310499 58469 03646 45210933 71813 04682 909
.0^16 11367 85152 71746 95211801 98488 04838 66712236 11819 03958 14012670 25145 69105 46013104 38468 00280 71213538 51785 97483 98313972 65099 60715 36014406 78408 89974 92914840 91713 85262 77815275 05014 46578 994
.0^16 15709 18310 73923 66216143 31602 67296 87016577 44890 26698 70517011 58173 52129 25317445 71452 43588 60017879 84727 01076 83518313 97997 24594 04318748 11263 14140 31219182 24524 69715 72719616 37781 91320 3770^16 20050 51034 78954 34720484 64283 32617 72420918 77527 52310 59621352 90767 38033 04821787 04002 89785 16822221 17234 07567 04322655 30460 91378 75823089 43683 41220 40223523 56901 57092 06023957 70115 38993 8200^16 24391 83324 86925 76824825 96530 00887 99125260 09730 80880 57525694 22927 26903 60926128 36119 38957 17726562 49307 17041 36826996 62490 61156 26727430 75669 71301 96227864 88844 47478 53928299 02014 89686 085
. O'^ieo 73238 47780 407160 77581 42246 235160 81924 36712 059160 86267 31177 878160 90610 25643 693160 94953 20109 503160 99296 14575 309161 03639 09041 111161 07982 03506 909161 12324 97972 702
.0'^161 16667 92438 490161 21010 86904 275161 25353 81370 055161 29696 75835 831161 34039 70301 602161 38382 64767 369161 42725 59233 132161 47068 53698 890161 51411 48164 644161 55754 42630 3940'^161 60097 37096 139161 64440 31561 880161 68783 26027 617161 73126 20493 349161 77469 14959 077161 81812 09424 801161 86155 03890 520161 90497 98356 235161 94840 92821 945161 99183 87287 6520'^162 03526 81753 353162 07869 76219 051162 12212 70684 744162 16555 65150 433162 20898 59616 118162 25241 54081 798162 29584 48547 474162 33927 43013 145162 38270 37478 812162 42613 31944 4750^162 46956 26410 134162 51299 20875 788162 55642 15341 437162 59985 09807 083162 64328 04272 724162 68670 98738 361162 73013 93203 993162 77356 87669 622162 81699 82135 245162 86042 76600 864
SMITHSONIAN LOGARITHMIC TABLES
278 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 279
xxxx
280 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 281
xxxx
282 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 283
xxxx
284 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 285
xxxx
286 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 287
xxxx
2XX LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 289
xxxx
290 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 291
xxxx
292 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 29,^
xxxx
294 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 295
xxxx log XXXX log l.O'^XXXX log l.O^XXXX
460146024603460446054606460746084609461046114612461346144615
66285 22332 64796 16723 96366294 66143 32624 59197 59366304 09748 93974 23972 35966313 53149 57754 19227 6446632 2 96345 32867 72683 59066332 39336 28212 32105 23966341 82122 52679 65806 13566351 24704 15155 63151 37166360 67081 24520 35060 09466370 09253 89648 14507 46866379 51222 19407 57026 08766388 92986 22661 41206 84566398 34546 08266 69199 27066407 75901 85074 67211 30666417 17053 61930 86008 5604616 66426 58001 47675 01413 0054617461846194620 66464 19755 56125 50397 118462146224623462446254626462746284629463046314632463346344635463646374638463946404641464246434644464546464647464846494650
66435 98745 51141 14801 14766445 39285 81157 53601 64766454 79622 46546 71792 407
66473 59685 18704 97981 27466482 99411 43090 51147 63966492 38934 38081 75031 19466501 78254 12472 63793 53066511 17370 75051 41116 72366520 56284 34600 60696 66966529 94994 99897 06735 87966539 33502 79711 94435 75366548 71807 82810 70488 31566558 09910 17953 13567 41966567 47809 93893 34819 42766576 85507 19379 78353 34866586 23002 03155 21730 46466595 60294 53956 76453 41066604 97384 80515 88454 73966614 34272 91558 38584 95666623 70958 95804 43100 02466633 07443 01968 54148 34566642 43725 18759 60257 22166651 79805 54880 86818 78066661 15684 19029 96575 39266670 51361 19898 90104 55066679 86836 66174 06303 23666689 22110 66536 22871 76566698 57183 29660 56797 10366707 92054 64216 64835 67066717 26724 78868 43995 62466726 61193 82274 32018 61966735 95461 83087 07861 05566745 29528 89953 92174 799
.0^19 97729 36882 94028 67398163 46356 26146 32198597 55825 24368 93699031 65289 88696 60599465 74750 19129 41499899 84206 15667 450
.0^20 00333 93657 78310 80100768 03105 07059 55101202 12548 01913 79001636 21986 62873 602
.0^20 02070 31420 89939 07602504 40850 83110 29702938 50276 42387 35203372 59697 67770 32803806 69114 59259 31304240 78527 16854 39204674 87935 40555 65205108 97339 30363 18005543 06738 86277 06305977 16134 08297 388
.0^20 06411 25524 96424 24106845 34911 50657 70807279 44293 70997 87807713 53671 57444 83608147 63045 09998 67008581 72414 28659 46509015 81779 13427 30909449 91139 64302 28909884 00495 81284 49010318 09847 64374 0010^20 10752 19195 13570 90711186 28538 28875 29611620 37877 10287 25412054 47211 57806 86712488 56541 71434 22312922 65867 51169 40913356 75188 97012 51113790 84506 08963 61514224 93818 87022 81014659 03127 31190 1800^20 15093 12431 41465 81415527 21731 17849 79715961 31026 60342 21716395 40317 68943 16016829 49604 43652 71317263 58886 84470 96217697 68164 91397 99618131 77438 64433 89918565 86708 03578 76018999 95973 08832 664
. 0''l99 81888 65268 527199 86231 59730 446199 90574 54192 361199 94917 48654 272199 99260 43116 178200 03603 37578 080200 07946 32039 977200 12289 26501 870200 16632 20963 759200 20975 15425 644
.0''200 25318 09887 524200 29661 04349 399200 34003 98811 271200 38346 93273 138200 42689 87735 001200 47032 82196 859200 51375 76658 713200 55718 71120 563200 60061 65582 408200 64404 60044 249
.0''200 68747 54506 087200 73090 48967 918200 77433 43429 746200 81776 37891 570200 86119 32353 389200 90462 26815 204200 94805 21277 015200 99148 15738 821201 03491 10200 623201 07834 04662 4210'^201 12176 99124 214201 16519 93586 003201 20862 88047 787201 25205 82509 567201 29548 76971 343201 33891 71433 115201 38234 65894 882201 42577 60356 645201 46920 54818 403201 51263 49280 1580''201 55606 43741 907201 59949 38203 653201 64292 32665 394201 68635 27127 131201 72978 21588 863201 77321 16050 592201 81664 10512 315201 86007 04974 034201 90349 99435 750201 94692 93897 460
SMITHSONIAN LOGARITHMIC TABLES
296 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 297
xxxx
298 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 29":)
xxxx
300 LOGARITHMIC TABLES TO THE BASE 10
XXXX log XXXX log l.O^XXXX log l.O^XXXX
48514852485348544855485648574858485948604861486248634864486548664867486848694870487148724873487448754876487748784879488048814882488348844885488648874888488948904891489248934894489548964897489848994900
68583 12746 26063 57676 46968592 07921 94535 36462 99568601 02913 15285 54394 93468609 97719 95915 93683 24068618 92342 44023 66758 94068627 86780 67201 16660 14168636 81034 73036 17418 63968645 75104 69111 74446 13168654 68990 63006 24920 03268663 62692 62293 38168 88868672 56210 74542 16057 40368681 49545 07316 93371 06168690 42695 68177 38200 35668699 35662 64678 52324 62468708 28446 04370 71595 49168717 21045 94799 66319 91068726 13462 43506 41642 81968735 05695 58027 37929 39868743 97745 45894 31146 94068752 89612 14634 33246 32168761 81295 71769 92543 08368770 72796 24818 94098 13168779 64113 81294 60098 03068788 55248 48705 50234 92068797 46200 34555 62086 03268806 36969 46344 31492 82568815 27555 91566 32939 72868824 17959 77711 79932 49768833 08181 12266 25376 18068841 98220 02710 61952 69768850 88076 56521 22498 03668859 77750 81169 80379 05968868 67242 84123 49869 92368877 56552 72844 86528 11668886 45680 54791 87570 10668895 34626 37417 92246 61368904 23390 28171 82217 48368913 11972 34497 81926 19468922 00372 63835 58973 97068930 88591 23620 24493 51268939 76628 21282 33522 35268948 64483 64247 85375 82168957 52157 59938 24019 63868966 39650 15770 38442 11968975 26961 39156 63026 00068984 14091 37504 77919 89268993 01040 18218 09409 34269001 87807 88695 30287 52669010 74394 56330 60225 56369019 60800 28513 66142 443
.0-^21 06251 70165 63713 33806685 78554 24772 41707119 86938 51958 14707553 95318 45270 61507988 03694 04709 90708422 12065 30276 11008856 20432 21969 31109290 28794 79789 59709724 37153 03737 05410158 45506 93811 769
.0^21 10592 53856 50013 82911026 62201 72343 32011460 70542 60800 33011894 78879 15384 94512328 87211 36097 25112762 95539 22937 33613197 03862 75905 28613631 12181 95001 18814065 20496 80225 12914499 28807 31577 195
.0^21 14933 37113 49057 47315367 45415 32666 05015801 53712 82403 01216235 62005 98268 44716669 70294 80262 44117103 78579 28385 08117537 86859 42636 45317971 95135 23016 64418406 03406 69525 74218840 11673 82163 832
.0^21 19274 19936 60931 00219708 28195 05827 33720142 36449 16852 92620576 44698 94007 85421010 52944 37292 20921444 61185 46706 07721878 69422 22249 54422312 77654 63922 69822746 85882 71725 62623180 94106 45658 413
.0^21 23615 02325 85721 14724049 10540 91913 91524483 18751 64236 80324917 26958 02689 89825351 35160 07273 28625785 43357 77987 05526219 51551 14831 29226653 59740 17806 08227087 67924 86911 51227521 76105 22147 670
.0'210 67624 80613 151210 71967 75073 985210 76310 69534 814210 80653 63995 638210 84996 58456 459210 89339 52917 275210 93682 47378 087210 98025 41838 894211 02368 36299 697211 06711 30760 496
.
0''211 11054 25221 290211 15397 19682 080211 19740 14142 866211 24083 08603 647211 28426 03064 424211 32768 97525 197211 37111 91985 965211 41454 86446 729211 45797 80907 489211 50140 75368 244
.0^211 54483 69828 995211 58826 64289 742211 63169 58750 484211 67512 53211 222211 71855 47671 955211 76198 42132 685211 80541 36593 409211 84884 31054 130211 89227 25514 846211 93570 19975 558
.0^211 97913 14436 266212 02256 08896 969212 06599 03357 668212 10941 97818 362212 15284 92279 052212 19627 86739 738212 23970 81200 419212 28313 75661 097212 32656 70121 769212 36999 64582 4380''212 41342 59043 102212 45685 53503 762212 50028 47964 417212 54371 42425 068212 58714 36885 715212 63057 31346 357212 67400 25806 995212 71743 20267 6^9212 76086 14728 258212 80429 09188 883
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 301
xxxx
302 LOGARITHMIC TABLES TO THE BASE 10
XXXX log xxxx log l.O^XXXX log l.O^XXXX
4951 69469 29263 31484 08117 8234952 69478 06360 12061 56243 9184953 69486 83279 82456 07074 8524954 69495 60022 49818 17970 2054955 69504 36588 21294 13315 0704956 69513 12977 04025 84869 5384957 69521 89189 05150 92117 8414958 69530 65224 31802 62617 1324959 69539 41082 91109 92345 9244960 69548 16764 90197 46052 1664961 69556 92270 36185 57600 9814962 69565 67599 36190 30322 0434963 69574 42751 97323 37356 6104964 69583 17728 26692 22004 2034965 69591 92528 31399 98068 9434966 69600 67152 18545 50205 5294967 69609 41599 95223 34264 8774968 69618 15871 68523 77639 4084969 69626 89967 45532 79607 9844970 69635 63887 33332 11680 5054971 69644 37631 38999 17942 1524972 69653 11199 69607 15397 2904973 69661 84592 32224 94313 0214974 69670 57809 33917 18562 3904975 69679 30850 81744 25967 2544976 69688 03716 82762 28640 7984977 69696 76407 44023 13329 7094978 69705 48922 72574 41756 0134979 69714 21262 75459 50958 5554980 69722 93427 59717 53634 1534981 69731 65417 32383 38478 3934982 69740 37232 00487 70526 0954983 69749 08871 71056 91491 4304984 69757 80336 51113 20107 6984985 69766 51626 47674 52466 7634986 69775 22741 67754 62358 1554987 69783 93682 18363 01607 8204988 69792 64448 06505 00416 5414989 69801 35039 39181 67698 0154990 69810 05456 23389 91416 5914991 69818 75698 66122 38924 6704992 69827 45766 74367 57299 7714993 69836 15660 55109 73681 2514994 69844 85380 15328 95606 6994995 69853 54925 62001 11347 9804996 69862 24297 02097 90246 9544997 69870 93494 42586 83050 8574998 69879 62517 90431 22247 3374999 69888 31367 52590 22399 1695000 69897 00043 36018 80478 626
. 0^21 49659 87550 10567 93850093 95504 84721 43350528 03455 25010 25250962 11401 31434 48151396 19343 03994 20951830 27280 42689 52052264 35213 47520 50252698 43142 18487 24353132 51066 55589 82753566 58986 58828 343
.0^21 54000 66902 28202 87754434 74813 63713 51554868 82720 65360 34555302 90623 33143 45255736 98521 67062 92556171 06415 67118 84956605 14305 33311 31157039 22190 65640 39957473 30071 64106 19857907 37948 28708 796
.0^21 58341 45820 59448 27858775 53688 56324 73359209 61552 19338 24759643 69411 48488 90560077 77266 43776 79660511 85117 05202 00660945 92963 32764 62161380 00805 26464 72961814 08642 86302 41662248 16476 12277 768
.0^21 62682 24305 04390 87363116 32129 62641 81763550 39949 87030 68863984 47765 77557 57064418 55577 34222 55364852 63384 57025 72165286 71187 45967 16265720 78986 01046 96366154 86780 22265 21066588 94570 09621 991
.0^21 67023 02355 63117 39167457 10136 82751 49767891 17913 68524 39768325 25686 20436 17768759 33454 38486 92369193 41218 22676 72369627 48977 73005 66370061 56732 89473 83070495 64483 72081 31070929 72230 20828 191
.0'215 01919 26674 999215 06262 21135 399215 10605 15595 793215 14948 10056 184215 19291 04516 570215 23633 98976 951215 27976 93437 329215 32319 87897 702215 36662 82358 071215 41005 76818 435
.o''215 45348 71278 795215 49691 65739 151215 54034 60199 502215 58377 54659 849215 62720 49120 192215 67063 43580 531215 71406 38040 865215 75749 32501 194215 80092 26961 520215 84435 21421 841
.0^215 88778 15882 157215 93121 10342 469215 97464 04802 777216 01806 99263 081216 06149 93723 380216 10492 88183 675216 14835 82643 966216 19178 77104 252216 23521 71564 534216 27864 66024 812
.0^216 32207 60485 085216 36550 54945 354216 40893 49405 618216 45236 43865 878216 49579 38326 134216 53922 32786 386216 58265 27246 633216 62608 21706 876210 66951 16167 114216 71294 10627 348
.o''216 75637 05087 578216 79979 99547 804216 84322 94008 025216 88665 88468 241216 93008 82928 454216 97351 77388 662217 01694 71848 866217 06037 66309 065217 10380 60769 260217 14723 55229 451
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 303
xxxx
304 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 305
xxxx
306 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 307
xxxx
308 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 309
xxxx
310 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 311
xxxx
M2 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 313
XXXX
314 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 315
xxxx
316 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 317
xxxx
318 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 319
xxxx
320 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 321
xxxx
2,22 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 323
xxxx
324 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 325
xxxx
326 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 327
xxxx
32H LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 .329
xxxx
330 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 331
xxxx
332 LOGARITHMIC TABLES TO THE BASE 10
xxxx
64516452645364546455645664576458645964606461646264636464646564666467646864696470647164726473647464756476647764786479648064816482648364846485648664876488648964906491649264936494649564966497649864996500
log XXXX
80962 70418 94049 73044 71280969 43587 16923 91102 64980976 16651 07124 99688 67480982 89610 67886 17100 06480989 62466 02439 11358 33280996 35217 14014 00302 34781003 07864 05839 51681 37681009 80406 81142 83248 05081016 52845 43149 62851 26981023 25179 95084 08529 02481029 97410 40168 88601 15581036 69536 81625 21762 03281043 41559 22672 77173 17081050 13477 66529 74555 76281056 85292 16412 84283 15781063 57002 75537 27473 24881070 28609 47116 76080 80281077 00112 34363 52989 71481083 71511 40488 32105 18681090 42806 68700 38445 84381097 13998 22207 48235 77181103 85086 04215 88996 48581110 56070 17930 39638 82981117 26950 66554 30554 80381123 97727 53289 43709 31981130 68400 81336 12731 88481137 38970 53893 23008 21981144 09436 74158 11771 79781150 79799 45326 68195 32481157 50058 70593 33482 13381164 20214 53151 00957 52281170 90266 96191 16160 01581177 60216 02903 76932 54981184 30061 76477 33513 60181190 99804 20098 88628 23381197 69443 36953 97579 07681204 38979 30226 68337 24181211 08412 03099 61633 15581217 77741 58753 91047 33481224 46968 00369 23101 08681231 16091 31123 77347 13481237 85111 54194 26460 18581244 54028 72755 96327 41681251 22842 89982 66138 89581257 91554 09046 68477 93681264 60162 33118 89411 37681271 28667 65368 68579 79381277 97070 08963 99287 64681284 65369 67071 28593 34981291 33566 42855 57399 277
log l.O^'XXXX
0^28 00730 42425 61509 79701164 43873 36140 96501598 45316 77037 52402032 46755 84199 55802466 48190 57627 15602900 49620 97320 40403334 51047 03279 38903768 52468 75504 19704202 53886 13994 91404636 55299 18751 629
.0^28 05070 56707 89774 42605504 58112 27063 39405938 59512 30618 61806372 60908 00440 18606806 62299 36528 18407240 63686 38882 69807674 65069 07503 81608108 66447 42391 62408542 67821 43546 20908976 69191 10967 6580^28 09410 70556 44656 05709844 71917 44611 49310278 73274 10834 05210712 74626 43323 82211146 75974 42080 88811580 77318 07105 33912014 78657 38397 25912448 79992 35956 73712882 81322 99783 85813316 82649 29878 710
.0^28 13750 83971 26241 37914184 85288 88871 95214618 86602 17770 51615052 87911 12937 15615486 89215 74371 96115920 90516 02075 01616354 91811 96046 40816788 93103 56286 22517222 94390 82794 55117656 95673 75571 476
.0^28 18090 96952 34617 08418524 98226 59931 46318958 99496 51514 70019393 00762 09366 88019827 02023 33488 09220261 03280 23878 42020695 04532 80537 95421129 05781 03466 77721563 07024 92664 97921997 08264 48132 645
log i.o'xxxx
0'280 16336 12391 186280 20679 06845 071280 25022 01298 951280 29364 95752 828280 33707 90206 699280 38050 84660 567280 42393 79114 430280 46736 73568 288280 51079 68022 143280 55422 62475 993
,0^280 59765 56929 838280 64108 51383 680280 68451 45837 517280 72794 40291 349280 77137 34745 178280 81480 29199 002280 85823 23652 821280 90166 18106 636280 94509 12560 447280 98852 07014 254
.0^281 03195 01468 056281 07537 95921 854281 11880 90375 648281 16223 84829 437281 20566 79283 222281 24909 73737 002281 29252 68190 778281 33595 62644 550281 37938 57098 318281 42281 51552 081
.0^281 46624 46005 840281 50967 40459 594281 55310 34913 344281 59653 29367 090281 63996 23820 831281 68339 18274 568281 72682 12728 301281 77025 07182 030281 81368 01635 754281 85710 96089 473
.0^281 90053 90543 189281 94396 84996 900281 98739 79450 606282 03082 73904 309282 07425 68358 007282 11768 62811 700282 16111 57265 390282 20454 51719 075282 24797 46172 755282 29140 40626 432
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 333
XXXX
65016502650365046505650665076508650965106511651265136514651565166517[651865196520652165226523652465256526652765286529653065316532653365346535653665376538653965406541654265436544654565466547654865496550
log XXXX
81298 01660 39480 40541 69781304 69651 60107 86880 64281311 37540 07898 59389 69881318 05325 86011 75245 74281324 73008 97605 05918 59481331 40589 45834 77260 60881338 08067 33855 69596 19781344 75442 64821 17811 28181351 42715 41883 11442 67381358 09885 68191 94767 39581364 76953 46896 66891 92281371 43918 81144 81841 36181378 10781 74082 48648 56181384 77542 28854 31443 15481391 44200 48603 49540 52781398 10756 36471 77530 72881404 77209 95599 45367 29881411 43561 29125 38456 04681418 09810 40186 97743 74381424 75957 31920 19806 75781431 42002 07459 56939 61581438 07944 69938 17243 50281444 73785 22487 64714 68781451 39523 68238 19332 88381458 05160 10318 57149 54281464 70694 51856 10376 07981471 36126 95976 67472 02981478 01457 45804 73233 13781484 66686 04463 28879 38281491 31812 75073 92142 93181497 96837 60756 77356 02781504 61760 64630 55538 80881511 26581 89812 54487 06581517 91301 39418 58859 92281524 55919 16563 10267 45981531 20435 24359 07358 26481537 84849 65918 05906 91481544 49162 44350 18901 40181551 13373 62764 16630 47381557 77483 24267 26770 92881564 41491 31965 34474 82681571 05397 88962 82456 64381577 69202 98362 71080 35281584 32906 63266 58446 44681590 96503 86774 60478 88581597 60009 71985 51011 98381604 23409 21996 61877 22881610 86707 39903 82990 03081617 49904 28801 62436 41381624 12999 91783 06559 632
log l.O^XXXX
0''28 22431 09499 69869 86122865 10730 57876 71523299 11957 12153 29423733 13179 32699 68324167 14397 19515 97124601 15610 72602 24225035 16819 91958 58525469 18024 77585 08525903 19225 29481 83026337 20421 47648 906
,0^28 26771 21613 32086 40027205 22800 82794 39927639 23983 99772 98828073 25162 83022 25628507 26337 32542 28828941 27507 48333 17129375 28673 30394 99229809 29834 78727 83830243 30991 93331 79630677 32144 74206 951
.0^28 31111 33293 21353 39131545 34437 34771 20231979 35577 14460 47232413 36712 60421 28632847 37843 72653 73233281 38970 51157 89633715 40092 95933 86534149 41211 06981 72534583 42324 84301 56435017 43434 27893 468
, 0^28 35451 44539 37757 52335885 45640 13893 81636319 46736 56302 43536753 47828 64983 46537187 48916 39936 99337621 49999 81163 10738055 51078 88661 89238489 52153 62433 43638923 53224 02477 82539357 54290 08795 146
.0^28 39791 55351 81385 48540225 56409 20248 92940659 57462 25385 56541093 58510 96795 48041527 59555 34478 76041961 60595 38435 49242395 61631 08665 76342829 62662 45169 65943263 63689 47947 26743697 64712 16998 674
log l.O^XXXX
0'^282 33483 35080 103282 37826 29533 771282 42169 23987 434282 46512 18441 093282 50855 12894 748282 55198 07348 398282 59541 01802 044282 63883 96255 685282 68226 90709 323282 72569 85162 956
.0^282 76912 79616 584282 81255 74070 208282 85598 68523 828282 89941 62977 444282 94284 57431 055282 98627 51884 661283 02970 46338 264283 07313 40791 862283 11656 35245 456283 15999 29699 045
.0^283 20342 24152 630283 24685 18606 211283 29028 13059 787283 33371 07513 359283 37714 01966 927283 42056 96420 491283 46399 90874 050283 50742 85327 604283 55085 79781 155283 59428 74234 701
.0^283 63771 68688 242283 68114 63141 780283 72457 57595 313283 76800 52048 841283 81143 46502 365283 85486 40955 885283 89829 35409 401283 94172 29862 912283 98515 24316 419284 02858 18769 922
.0^284 07201 13223 420284 11544 07676 914284 15887 02130 403284 20229 96583 889284 24572 91037 369284 28915 85490 846284 33258 79944 318284 37601 74397 786284 41944 68851 249284 46287 63304 708
SMITHSONIAN LOGARITHMIC TABLES
334 LOGARITHMIC TABLES TO THE BASE 10
XXXX
65516552655365546555655665576558655965606561656265636564656565666567656865696570657165726573657465756576657765786579658065816582658365846585658665876588658965906591659265936594659565966597659865996600
log XXXX
81630 75994 31939 80046 72381637 38887 52362 06014 99981644 01679 56138 66098 46781650 64370 46357 00534 18181657 26960 26103 08248 54081663 89448 98461 46943 50481670 51836 66515 33182 75881677 14123 33346 42477 80281683 76309 02035 09373 97981690 38393 75660 27536 43781697 00377 57299 49836 02281703 62260 50028 88435 11581710 24042 56923 14873 38981716 85723 81055 60153 51581723 47304 25498 14826 79581730 08783 93321 29078 73081736 70162 87594 12814 52581743 31441 11384 35744 52881749 92618 67758 27469 60481756 53695 59780 77566 44481763 14671 90515 35672 81281769 75547 63024 11572 71781776 36322 80367 75281 53781782 96997 45605 57131 06081789 57571 61795 47854 47681796 18045 31993 98671 29181802 78418 59256 21372 19081809 38691 46635 88403 82281815 98863 97185 32953 53181822 58936 13955 49034 01781829 18907 99995 91567 93481835 78779 58354 76472 42581842 38550 92078 80743 59081848 98222 04213 42540 89281855 57792 97802 61271 50381862 17263 75888 97674 57381868 76634 41513 73905 45181875 35904 97716 73619 83181881 95075 47536 42057 83781888 54145 94009 86128 04881895 13116 40172 74491 45481901 71986 89059 37645 35081908 30757 43702 68007 16981914 89428 07134 19998 24681921 47998 82384 10127 52681928 06469 72481 17075 20181934 64840 80452 81776 28781941 23112 09325 07504 14081947 81283 62122 59953 90381954 39355 41868 67325 897
log l.O^XXXX
0^28 44131 65730 52323 96644565 66744 53923 23044999 67754 21796 55345433 68759 55944 02145867 69760 56365 72146301 70757 23061 74146735 71749 56032 16647169 72737 55277 08347603 73721 20796 57948037 74700 52590 7400^28 48471 75675 50659 65448905 76646 15003 40749339 77612 45622 08549773 78574 42515 77650207 79532 05684 56550641 80485 35128 54151075 81434 30847 78951509 82378 92842 39651943 83319 21112 44852377 84255 15658 034
,0^28 52811 85186 76479 23853245 86114 03576 14853679 87036 96948 85154113 87955 56597 43354547 88869 82521 98054981 89779 74722 58155415 90685 33199 32055849 91586 57952 28656283 92483 48981 56456717 93376 06287 242
.0^28 57151 94264 29869 40657585 95148 19728 14258019 96027 75863 53858453 96902 98275 68058887 97773 86964 65459321 98640 41930 54859755 99502 63173 44960190 00360 50693 44260624 01214 04490 61461058 02063 24565 053
.0^28 61492 02908 10916 84561926 03748 63546 07662360 04584 82452 83462794 05416 67637 20463228 06244 19099 27563662 07067 36839 13164096 07886 20856 86164530 08700 71152 55064964 09510 87726 28665398 10316 70578 155
log l.O^XXXX
0'284 50630 57758 163284 54973 52211 614284 59316 46665 060284 63659 41118 502284 68002 35571 939284 72345 30025 372284 76688 24478 801284 81031 18932 225284 85374 13385 645284 89717 07839 0610^284 94060 02292 472284 98402 96745 879285 02745 91199 282285 07088 85652 680285 11431 80106 074285 15774 74559 464285 20117 69012 849285 24460 63466 230285 28803 57919 607285 33146 52372 9790^285 37489 46826 347285 41832 41279 711285 46175 35733 070285 50518 30186 425285 54861 24639 775285 59204 19093 122285 63547 13546 464285 67890 07999 801285 72233 02453 134285 76575 96906 463
,0^285 80918 91359 788285 85261 85813 108285 89604 80266 424285 93947 74719 735285 98290 69173 042286 02633 63626 345286 06976 58079 643286 11319 52532 938286 15662 46986 227286 20005 41439 513
,0^286 24348 35892 794286 28691 30346 071286 33034 24799 343286 37377 19252 611286 41720 13705 875286 46063 08159 134286 50406 02612 389286 54748 97065 640286 59091 91518 886286 63434 85972 128
SMKTHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE 10 335
xxxx
336 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 Zi7
xxxx
338 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 339
xxxx
340 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 ,>41
xxxx
342 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 343
xxxx
344 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 345
XXXX
346 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 347
xxxx
348 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 349
xxxx
350 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 351
xxxx
352 LOGARITHMIC TABLES TO THE BASE 10
XXXX
LOGARITHMIC TABLES TO THE BASE 10 353
XXXX log XXXX log l.O'^XXXX log i.o'xxxx
87511 91654 62568 19769 53487517 70598 14703 95638 10287523 49464 50164 96569 01987529 28253 71008 04571 63087535 06965 79289 19431 74287540 85600 77063 58755 52687546 64158 66385 58013 29787552 42639 49308 70583 27387558 21043 27885 67795 30987563 99370 04168 38974 59987569 77619 80207 91485 35187575 55792 58054 50774 43787581 33888 39757 60415 00287587 11907 27365 82150 05887592 89849 22926 95936 03987598 67714 28487 99986 33287604 45502 46095 10814 77687610 23213 77793 63279 13787616 00848 25628 10624 54687621 78405 91642 24526 91787627 55886 77878 95136 33287633 33290 86380 31120 39287639 10618 19187 59707 54987644 87868 78341 26730 40787650 65042 65880 96668 98387656 42139 83845 52693 95687662 19160 34272 96709 87787667 96104 19200 49398 35187673 72971 40664 50261 19487679 49762 00700 57663 55887685 26476 01343 48877 02787691 03113 44627 20122 69287696 79674 32584 86614 18487702 56158 67248 82600 69187708 32566 50650 61409 93987714 08897 84820 95491 14687719 85152 71789 76457 95387725 61331 13586 15131 31687731 37433 12238 41582 377
7541754275437544754575467547754875497550
87742 89407 88219 74610 12287748 65280 69601 37965 45387754 41077 15944 02741 31887760 16797 29271 95901 84187765 92441 11608 63917 95187771 68008 64976 72810 05987777 43499 91398 08190 69287783 18914 92893 75307 11387788 94253 71483 99083 90687794 69516 29188 24165 533
0^32 56421 74041 07904 61156855 70935 08932 95257289 67824 76317 69357723 64710 10058 92258157 61591 10156 72658591 58467 76611 19059025 55340 09422 40359459 52208 08590 44959893 49071 74115 41760327 45931 05997 3920^32 60761 42786 04236 46161195 39636 68832 71261629 36482 99786 23062063 33324 97097 10262497 30162 60765 41562931 26995 90791 25663365 23824 87174 71263799 20649 49915 86864233 17469 79014 81264667 14285 74471 630
.0^32 65101 11097 36286 40965535 07904 64459 23665969 04707 58990 19666403 01506 19879 37866836 98300 47126 86867270 95090 40732 75267704 91876 00697 11668138 88657 27020 04968572 85434 19701 63569006 82206 78741 963
.0^32 69440 78975 04141 11869874 75738 95899 18770308 72498 54016 25770742 69253 78492 41571176 66004 69327 74771610 62751 26522 34072044 59493 50076 28072478 56231 39989 65572912 52964 96262 55173346 49694 18895 054
.0^32 73780 46419 07887 25174214 43139 63239 22974648 39855 84951 07575082 36567 73022 87575516 33275 27454 71675950 29978 48246 68476384 26677 35398 86776818 23371 88911 35077252 20062 08784 22177686 16747 95017 566
0''325 76427 86578 401325 80770 81027 725325 85113 75477 046325 89456 69926 362325 93799 64375 673325 98142 58824 981326 02485 53274 284326 06828 47723 582326 11171 42172 876326 15514 36622 1660^326 19857 31071 452326 24200 25520 733326 28543 19970 010326 32886 14419 283326 37229 08868 551326 41572 03317 815326 45914 97767 074326 50257 92216 329326 54600 86665 580326 58943 81114 827
. 0'326 63286 75564 069326 67629 70013 306326 71972 64462 540326 76315 58911 769326 80658 53360 994326 85001 47810 214326 89344 42259 430326 93687 36708 642326 98030 31157 849327 02373 25607 052
.
0''327 06716 20056 251327 11059 14505 446327 15402 08954 636327 19745 03403 821327 24087 97853 003327 28430 92302 180327 32773 86751 352327 37116 81200 521327 41459 75649 685327 45802 70098 844
.0^327 50145 64547 999327 54488 58997 150327 58831 53446 297327 63174 47895 439327 67517 42344 577327 71860 36793 711327 76203 31242 840327 80546 25691 965327 84889 20141 085327 89232 14590 202
SMITHSONIAN LOGARITHMIC TABLES
354 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 355
xxxx
356 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 337
7711771277137714771577167717771877197720
log XXXX
88654 71233 91105 80270 42788660 35142 86712 29806 77288665 98978 61202 82265 28688671 62741 16478 10106 58188677 26430 54438 11780 31788682 90046 76982 11763 61988688 53589 86008 60599 47788694 17059 83415 34935 11188699 80456 71099 37560 31888705 43780 50956 97445 792
log l.Q-^XXXX
88711 0703188716 7020888722 3331388727 9634588733 59303
24883 69781 42294774 36014 55862523 03888 25930023 07479 51499167 07237 43888739 22189 71846 90021 44488744 85002 49953 69139 38988750 47742 35377 84385 69688756 10409 30009 02079 44988761 73003 35736 15102 4727721 88767 35524 54447 42937 3697722 88772 97972 88030 31705 553772377247725772677277728772977307731773277337734773577367737773877397740774177427743774477457746774777487749
88778 60348 38371 54205 24388784 22651 07357 09949 43788789 84880 96872 25203 86288795 47038 08801 53024 90188801 09122 45028 73297 49188806 71134 07436 92772 99888812 33072 97908 45107 07188817 94939 18324 90897 46988823 56732 70567 17721 86088829 18453 56515 40175 60388834 80101 78048 99909 49888840 41677 37046 65667 51988846 03180 35386 33324 51588851 64610 74945 25923 89288857 25968 57599 93715 27088862 87253 85226 14192 11288868 48466 59698 92129 33488874 09606 82892 59620 88888879 70674 56680 76117 31988885 31669 82936 28463 29988890 92592 63531 30935 14288896 53443 00337 25278 28388902 14220 95224 80744 74788907 74926 50063 94130 58288913 35559 66723 89813 27488918 96120 47073 19789 13588924 56608 92979 63710 6717750 88930 17025 06310 28923 923
0-'33 43214 66549 19775 16543648 62575 93808 28044082 58598 34215 12944516 54616 40995 79744950 50630 14150 37245384 46639 53678 94045818 42644 59581 58846252 38645 31858 40346686 34641 70509 47147120 30633 75534 8780^33 47554 26621 46934 71247988 22604 84709 05948422 18583 88858 00748856 14558 59381 64049290 10528 96280 04749724 06494 99553 31350158 02456 69201 52650591 98414 05224 77251025 94367 07623 13851459 90315 76396 710
.0^33 51893 86260 11545 57552327 82200 13069 82052761 78135 80969 53153195 74067 15244 79653629 69994 15895 70054063 65916 82922 33054497 61835 16324 77454931 57749 16103 11755365 53658 82257 44655799 49564 14787 849
.0^33 56233 45465 13694 41156667 41361 78977 21957101 37254 10636 36157535 33142 08671 922
log l.O^XXXX
. 0'334 45016 76356 907334 49359 70805 363334 53702 65253 815334 58045 59702 262334 62388 54150 705334 66731 48599 144334 71074 43047 578334 75417 37496 008334 79760 31944 434334 84103 26392 855
.0^334 88446 20841 272334 92789 15289 685334 97132 09738 093335 01475 04186 497335 05817 98634 897335 10160 93083 292335 14503 87531 683335 18846 81980 069335 23189 76428 452335 27532 70876 8300^335 31875 65325 203335 36218 59773 572335 40561 54221 937335 44904 48670 298335 49247 43118 654335 53590 37567 006335 57933 32015 353335 62276 26463 696335 66619 20912 035335 70962 15360 3700^335 75305 09808 700335 79648 04257 025335 83990 98705 347335 88333 93153 664
358 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 359
xxxx
360 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 361
xxxx
362 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 363
xxxx
364 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 3C5
xxxx
366 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 367
xxxx
368 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 369
xxxx
370 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 371
xxxx
372 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 373
xxxx
374 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 375
xxxx
376 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 377
xxxx
378 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 379
xxxx
380 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 381
xxxx
382 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 383
xxxx
384 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 385
xxxx
386 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 387
xxxx
388 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 389
xxxx
390 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 391
xxxx
392 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 393
xxxx
394 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 395
xxxx
396 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 397
xxxx
398 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 399
xxxx
400 LOGARITHMIC TABLES TO THE BASE 10
xxxx
LOGARITHMIC TABLES TO THE BASE 10 401
xxxx
402 LOGARITHMIC TABLES TO THE BASE 10
xxxx