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Logarithm Table for base 31

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This page shows the logarithm table for base 31, in blocks of 100 values — each block covers one whole number N (its row lists N.0 through N.9, and each row's 10 columns walk the hundredths digit 0 through 9). Hover any cell to trace it back to its row and column, or print a block directly from its own header.

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Logarithm Table for base 31 — N = 1.00–1.99
N.i 0 1 2 3 4 5 6 7 8 9
1.0 0.000000 0.002898 0.005767 0.008608 0.011421 0.014208 0.016968 0.019703 0.022412 0.025096
1.1 0.027755 0.030390 0.033002 0.035591 0.038156 0.040700 0.043221 0.045721 0.048199 0.050656
1.2 0.053093 0.055510 0.057907 0.060284 0.062642 0.064981 0.067301 0.069603 0.071887 0.074154
1.3 0.076402 0.078634 0.080848 0.083046 0.085227 0.087392 0.089542 0.091675 0.093793 0.095895
1.4 0.097983 0.100056 0.102114 0.104157 0.106187 0.108202 0.110203 0.112191 0.114165 0.116126
1.5 0.118074 0.120009 0.121931 0.123841 0.125738 0.127623 0.129495 0.131356 0.133205 0.135042
1.6 0.136868 0.138683 0.140486 0.142278 0.144059 0.145829 0.147589 0.149338 0.151076 0.152804
1.7 0.154522 0.156230 0.157928 0.159617 0.161295 0.162964 0.164623 0.166273 0.167914 0.169545
1.8 0.171167 0.172781 0.174385 0.175981 0.177568 0.179146 0.180716 0.182277 0.183831 0.185375
1.9 0.186912 0.188441 0.189961 0.191474 0.192979 0.194476 0.195966 0.197448 0.198922 0.200389

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Logarithm Table for base 31 — N = 2.00–2.99
N.i 0 1 2 3 4 5 6 7 8 9
2.0 0.201849 0.203301 0.204747 0.206185 0.207616 0.209040 0.210457 0.211867 0.213270 0.214667
2.1 0.216057 0.217441 0.218817 0.220188 0.221552 0.222909 0.224261 0.225606 0.226945 0.228277
2.2 0.229604 0.230925 0.232239 0.233548 0.234851 0.236148 0.237440 0.238725 0.240005 0.241280
2.3 0.242549 0.243812 0.245070 0.246322 0.247570 0.248811 0.250048 0.251279 0.252505 0.253726
2.4 0.254942 0.256153 0.257359 0.258560 0.259756 0.260947 0.262133 0.263314 0.264491 0.265663
2.5 0.266830 0.267992 0.269150 0.270304 0.271452 0.272597 0.273736 0.274872 0.276003 0.277129
2.6 0.278251 0.279369 0.280483 0.281592 0.282697 0.283798 0.284895 0.285988 0.287076 0.288161
2.7 0.289242 0.290318 0.291391 0.292459 0.293524 0.294585 0.295642 0.296695 0.297745 0.298790
2.8 0.299832 0.300870 0.301905 0.302936 0.303963 0.304986 0.306006 0.307023 0.308036 0.309045
2.9 0.310051 0.311053 0.312052 0.313048 0.314040 0.315029 0.316014 0.316997 0.317975 0.318951
Logarithm Table for base 31 — N = 3.00–3.99
N.i 0 1 2 3 4 5 6 7 8 9
3.0 0.319923 0.320892 0.321858 0.322821 0.323780 0.324737 0.325690 0.326640 0.327587 0.328531
3.1 0.329472 0.330410 0.331345 0.332276 0.333205 0.334131 0.335054 0.335974 0.336892 0.337806
3.2 0.338717 0.339626 0.340532 0.341435 0.342335 0.343232 0.344127 0.345019 0.345908 0.346794
3.3 0.347678 0.348559 0.349438 0.350314 0.351187 0.352057 0.352925 0.353791 0.354654 0.355514
3.4 0.356372 0.357227 0.358080 0.358930 0.359778 0.360623 0.361466 0.362306 0.363144 0.363980
3.5 0.364813 0.365644 0.366472 0.367298 0.368122 0.368944 0.369763 0.370580 0.371394 0.372206
3.6 0.373016 0.373824 0.374630 0.375433 0.376234 0.377033 0.377830 0.378624 0.379417 0.380207
3.7 0.380995 0.381781 0.382565 0.383347 0.384127 0.384904 0.385680 0.386453 0.387225 0.387994
3.8 0.388761 0.389527 0.390290 0.391051 0.391811 0.392568 0.393323 0.394077 0.394828 0.395578
3.9 0.396325 0.397071 0.397815 0.398557 0.399297 0.400035 0.400771 0.401506 0.402238 0.402969
Logarithm Table for base 31 — N = 4.00–4.99
N.i 0 1 2 3 4 5 6 7 8 9
4.0 0.403698 0.404425 0.405151 0.405874 0.406596 0.407316 0.408034 0.408750 0.409465 0.410178
4.1 0.410889 0.411598 0.412306 0.413012 0.413716 0.414419 0.415120 0.415819 0.416516 0.417212
4.2 0.417906 0.418599 0.419290 0.419979 0.420666 0.421352 0.422037 0.422720 0.423401 0.424080
4.3 0.424758 0.425435 0.426110 0.426783 0.427455 0.428125 0.428794 0.429461 0.430126 0.430791
4.4 0.431453 0.432114 0.432774 0.433432 0.434089 0.434744 0.435397 0.436050 0.436700 0.437350
4.5 0.437997 0.438644 0.439289 0.439932 0.440574 0.441215 0.441854 0.442492 0.443129 0.443764
4.6 0.444398 0.445030 0.445661 0.446291 0.446919 0.447546 0.448172 0.448796 0.449419 0.450040
4.7 0.450661 0.451279 0.451897 0.452513 0.453128 0.453742 0.454355 0.454966 0.455576 0.456184
4.8 0.456791 0.457397 0.458002 0.458606 0.459208 0.459809 0.460409 0.461008 0.461605 0.462201
4.9 0.462796 0.463390 0.463982 0.464573 0.465163 0.465752 0.466340 0.466927 0.467512 0.468096
Logarithm Table for base 31 — N = 5.00–5.99
N.i 0 1 2 3 4 5 6 7 8 9
5.0 0.468679 0.469261 0.469842 0.470421 0.470999 0.471577 0.472153 0.472728 0.473301 0.473874
5.1 0.474446 0.475016 0.475585 0.476154 0.476721 0.477287 0.477852 0.478415 0.478978 0.479540
5.2 0.480100 0.480660 0.481218 0.481776 0.482332 0.482887 0.483441 0.483994 0.484546 0.485097
5.3 0.485647 0.486196 0.486744 0.487291 0.487837 0.488382 0.488926 0.489468 0.490010 0.490551
5.4 0.491091 0.491629 0.492167 0.492704 0.493240 0.493775 0.494308 0.494841 0.495373 0.495904
5.5 0.496434 0.496963 0.497491 0.498018 0.498544 0.499069 0.499594 0.500117 0.500639 0.501161
5.6 0.501681 0.502201 0.502719 0.503237 0.503754 0.504270 0.504785 0.505299 0.505812 0.506324
5.7 0.506835 0.507346 0.507855 0.508364 0.508872 0.509379 0.509885 0.510390 0.510894 0.511397
5.8 0.511900 0.512402 0.512902 0.513402 0.513901 0.514400 0.514897 0.515393 0.515889 0.516384
5.9 0.516878 0.517371 0.517863 0.518355 0.518846 0.519335 0.519824 0.520313 0.520800 0.521287
Logarithm Table for base 31 — N = 6.00–6.99
N.i 0 1 2 3 4 5 6 7 8 9
6.0 0.521772 0.522257 0.522741 0.523225 0.523707 0.524189 0.524670 0.525150 0.525629 0.526108
6.1 0.526586 0.527063 0.527539 0.528014 0.528489 0.528963 0.529436 0.529908 0.530380 0.530851
6.2 0.531321 0.531790 0.532259 0.532727 0.533194 0.533660 0.534126 0.534590 0.535054 0.535518
6.3 0.535980 0.536442 0.536903 0.537364 0.537823 0.538282 0.538741 0.539198 0.539655 0.540111
6.4 0.540566 0.541021 0.541475 0.541928 0.542381 0.542833 0.543284 0.543734 0.544184 0.544633
6.5 0.545081 0.545529 0.545976 0.546422 0.546868 0.547313 0.547757 0.548201 0.548643 0.549086
6.6 0.549527 0.549968 0.550408 0.550848 0.551287 0.551725 0.552163 0.552600 0.553036 0.553471
6.7 0.553906 0.554341 0.554774 0.555207 0.555640 0.556072 0.556503 0.556933 0.557363 0.557792
6.8 0.558221 0.558649 0.559076 0.559503 0.559929 0.560354 0.560779 0.561203 0.561627 0.562050
6.9 0.562472 0.562894 0.563315 0.563735 0.564155 0.564575 0.564993 0.565411 0.565829 0.566246
Logarithm Table for base 31 — N = 7.00–7.99
N.i 0 1 2 3 4 5 6 7 8 9
7.0 0.566662 0.567078 0.567493 0.567907 0.568321 0.568735 0.569147 0.569560 0.569971 0.570382
7.1 0.570793 0.571203 0.571612 0.572021 0.572429 0.572836 0.573243 0.573650 0.574056 0.574461
7.2 0.574866 0.575270 0.575673 0.576076 0.576479 0.576881 0.577282 0.577683 0.578083 0.578483
7.3 0.578882 0.579281 0.579679 0.580077 0.580474 0.580870 0.581266 0.581661 0.582056 0.582451
7.4 0.582844 0.583238 0.583630 0.584023 0.584414 0.584805 0.585196 0.585586 0.585976 0.586365
7.5 0.586753 0.587141 0.587529 0.587916 0.588302 0.588688 0.589074 0.589459 0.589843 0.590227
7.6 0.590610 0.590993 0.591376 0.591758 0.592139 0.592520 0.592900 0.593280 0.593660 0.594039
7.7 0.594417 0.594795 0.595172 0.595549 0.595926 0.596302 0.596677 0.597052 0.597427 0.597801
7.8 0.598175 0.598548 0.598920 0.599292 0.599664 0.600035 0.600406 0.600776 0.601146 0.601515
7.9 0.601884 0.602253 0.602621 0.602988 0.603355 0.603722 0.604088 0.604453 0.604818 0.605183
Logarithm Table for base 31 — N = 8.00–8.99
N.i 0 1 2 3 4 5 6 7 8 9
8.0 0.605547 0.605911 0.606274 0.606637 0.607000 0.607362 0.607723 0.608084 0.608445 0.608805
8.1 0.609165 0.609524 0.609883 0.610241 0.610599 0.610957 0.611314 0.611671 0.612027 0.612383
8.2 0.612738 0.613093 0.613447 0.613801 0.614155 0.614508 0.614861 0.615213 0.615565 0.615917
8.3 0.616268 0.616618 0.616969 0.617318 0.617668 0.618017 0.618365 0.618713 0.619061 0.619408
8.4 0.619755 0.620102 0.620448 0.620793 0.621139 0.621484 0.621828 0.622172 0.622516 0.622859
8.5 0.623202 0.623544 0.623886 0.624228 0.624569 0.624910 0.625250 0.625590 0.625930 0.626269
8.6 0.626608 0.626946 0.627284 0.627622 0.627959 0.628296 0.628632 0.628968 0.629304 0.629639
8.7 0.629974 0.630309 0.630643 0.630977 0.631310 0.631643 0.631976 0.632308 0.632640 0.632971
8.8 0.633302 0.633633 0.633963 0.634293 0.634623 0.634952 0.635281 0.635609 0.635938 0.636265
8.9 0.636593 0.636920 0.637246 0.637573 0.637899 0.638224 0.638549 0.638874 0.639199 0.639523
Logarithm Table for base 31 — N = 9.00–9.99
N.i 0 1 2 3 4 5 6 7 8 9
9.0 0.639846 0.640170 0.640493 0.640816 0.641138 0.641460 0.641781 0.642103 0.642424 0.642744
9.1 0.643064 0.643384 0.643704 0.644023 0.644341 0.644660 0.644978 0.645296 0.645613 0.645930
9.2 0.646247 0.646563 0.646879 0.647195 0.647510 0.647825 0.648140 0.648454 0.648768 0.649082
9.3 0.649395 0.649708 0.650021 0.650333 0.650645 0.650957 0.651268 0.651579 0.651889 0.652200
9.4 0.652510 0.652819 0.653129 0.653438 0.653746 0.654054 0.654362 0.654670 0.654977 0.655285
9.5 0.655591 0.655898 0.656204 0.656509 0.656815 0.657120 0.657425 0.657729 0.658033 0.658337
9.6 0.658641 0.658944 0.659247 0.659549 0.659851 0.660153 0.660455 0.660756 0.661057 0.661358
9.7 0.661658 0.661958 0.662258 0.662557 0.662857 0.663155 0.663454 0.663752 0.664050 0.664348
9.8 0.664645 0.664942 0.665239 0.665535 0.665831 0.666127 0.666422 0.666718 0.667013 0.667307
9.9 0.667601 0.667895 0.668189 0.668483 0.668776 0.669068 0.669361 0.669653 0.669945 0.670237
Logarithm Table for base 31 — N = 10.00–10.99
N.i 0 1 2 3 4 5 6 7 8 9
10.0 0.670528 0.670819 0.671110 0.671400 0.671691 0.671981 0.672270 0.672559 0.672849 0.673137
10.1 0.673426 0.673714 0.674002 0.674289 0.674577 0.674864 0.675151 0.675437 0.675723 0.676009
10.2 0.676295 0.676580 0.676865 0.677150 0.677435 0.677719 0.678003 0.678286 0.678570 0.678853
10.3 0.679136 0.679418 0.679701 0.679983 0.680265 0.680546 0.680827 0.681108 0.681389 0.681669
10.4 0.681949 0.682229 0.682509 0.682788 0.683067 0.683346 0.683625 0.683903 0.684181 0.684459
10.5 0.684736 0.685013 0.685290 0.685567 0.685843 0.686120 0.686395 0.686671 0.686946 0.687222
10.6 0.687496 0.687771 0.688045 0.688319 0.688593 0.688867 0.689140 0.689413 0.689686 0.689959
10.7 0.690231 0.690503 0.690775 0.691046 0.691317 0.691588 0.691859 0.692130 0.692400 0.692670
10.8 0.692940 0.693209 0.693478 0.693748 0.694016 0.694285 0.694553 0.694821 0.695089 0.695356
10.9 0.695624 0.695891 0.696158 0.696424 0.696690 0.696956 0.697222 0.697488 0.697753 0.698018
Logarithm Table for base 31 — N = 11.00–11.99
N.i 0 1 2 3 4 5 6 7 8 9
11.0 0.698283 0.698548 0.698812 0.699076 0.699340 0.699604 0.699867 0.700130 0.700393 0.700656
11.1 0.700918 0.701181 0.701443 0.701704 0.701966 0.702227 0.702488 0.702749 0.703010 0.703270
11.2 0.703530 0.703790 0.704050 0.704309 0.704568 0.704827 0.705086 0.705345 0.705603 0.705861
11.3 0.706119 0.706376 0.706634 0.706891 0.707148 0.707404 0.707661 0.707917 0.708173 0.708429
11.4 0.708684 0.708940 0.709195 0.709450 0.709704 0.709959 0.710213 0.710467 0.710721 0.710974
11.5 0.711228 0.711481 0.711734 0.711986 0.712239 0.712491 0.712743 0.712995 0.713247 0.713498
11.6 0.713749 0.714000 0.714251 0.714501 0.714751 0.715002 0.715251 0.715501 0.715750 0.716000
11.7 0.716249 0.716497 0.716746 0.716994 0.717243 0.717491 0.717738 0.717986 0.718233 0.718480
11.8 0.718727 0.718974 0.719220 0.719466 0.719713 0.719958 0.720204 0.720449 0.720695 0.720940
11.9 0.721185 0.721429 0.721674 0.721918 0.722162 0.722406 0.722649 0.722892 0.723136 0.723379
Logarithm Table for base 31 — N = 12.00–12.99
N.i 0 1 2 3 4 5 6 7 8 9
12.0 0.723621 0.723864 0.724106 0.724349 0.724590 0.724832 0.725074 0.725315 0.725556 0.725797
12.1 0.726038 0.726279 0.726519 0.726759 0.726999 0.727239 0.727479 0.727718 0.727957 0.728196
12.2 0.728435 0.728673 0.728912 0.729150 0.729388 0.729626 0.729864 0.730101 0.730338 0.730575
12.3 0.730812 0.731049 0.731285 0.731521 0.731758 0.731993 0.732229 0.732465 0.732700 0.732935
12.4 0.733170 0.733405 0.733639 0.733874 0.734108 0.734342 0.734576 0.734809 0.735043 0.735276
12.5 0.735509 0.735742 0.735975 0.736207 0.736439 0.736672 0.736903 0.737135 0.737367 0.737598
12.6 0.737829 0.738060 0.738291 0.738522 0.738752 0.738983 0.739213 0.739443 0.739673 0.739902
12.7 0.740131 0.740361 0.740590 0.740819 0.741047 0.741276 0.741504 0.741732 0.741960 0.742188
12.8 0.742415 0.742643 0.742870 0.743097 0.743324 0.743551 0.743777 0.744004 0.744230 0.744456
12.9 0.744682 0.744907 0.745133 0.745358 0.745583 0.745808 0.746033 0.746258 0.746482 0.746706
Logarithm Table for base 31 — N = 13.00–13.99
N.i 0 1 2 3 4 5 6 7 8 9
13.0 0.746930 0.747154 0.747378 0.747602 0.747825 0.748048 0.748271 0.748494 0.748717 0.748939
13.1 0.749162 0.749384 0.749606 0.749828 0.750050 0.750271 0.750493 0.750714 0.750935 0.751156
13.2 0.751376 0.751597 0.751817 0.752037 0.752257 0.752477 0.752697 0.752917 0.753136 0.753355
13.3 0.753574 0.753793 0.754012 0.754230 0.754449 0.754667 0.754885 0.755103 0.755321 0.755538
13.4 0.755755 0.755973 0.756190 0.756407 0.756623 0.756840 0.757056 0.757273 0.757489 0.757705
13.5 0.757921 0.758136 0.758352 0.758567 0.758782 0.758997 0.759212 0.759427 0.759641 0.759856
13.6 0.760070 0.760284 0.760498 0.760711 0.760925 0.761138 0.761352 0.761565 0.761778 0.761991
13.7 0.762203 0.762416 0.762628 0.762840 0.763052 0.763264 0.763476 0.763687 0.763899 0.764110
13.8 0.764321 0.764532 0.764743 0.764953 0.765164 0.765374 0.765584 0.765794 0.766004 0.766214
13.9 0.766424 0.766633 0.766842 0.767051 0.767260 0.767469 0.767678 0.767886 0.768095 0.768303
Logarithm Table for base 31 — N = 14.00–14.99
N.i 0 1 2 3 4 5 6 7 8 9
14.0 0.768511 0.768719 0.768927 0.769134 0.769342 0.769549 0.769756 0.769964 0.770170 0.770377
14.1 0.770584 0.770790 0.770997 0.771203 0.771409 0.771615 0.771820 0.772026 0.772231 0.772437
14.2 0.772642 0.772847 0.773052 0.773256 0.773461 0.773665 0.773870 0.774074 0.774278 0.774482
14.3 0.774685 0.774889 0.775092 0.775296 0.775499 0.775702 0.775905 0.776107 0.776310 0.776512
14.4 0.776715 0.776917 0.777119 0.777321 0.777522 0.777724 0.777926 0.778127 0.778328 0.778529
14.5 0.778730 0.778931 0.779131 0.779332 0.779532 0.779732 0.779932 0.780132 0.780332 0.780532
14.6 0.780731 0.780931 0.781130 0.781329 0.781528 0.781727 0.781926 0.782124 0.782323 0.782521
14.7 0.782719 0.782917 0.783115 0.783313 0.783510 0.783708 0.783905 0.784103 0.784300 0.784497
14.8 0.784693 0.784890 0.785087 0.785283 0.785479 0.785676 0.785872 0.786068 0.786263 0.786459
14.9 0.786654 0.786850 0.787045 0.787240 0.787435 0.787630 0.787825 0.788019 0.788214 0.788408
Logarithm Table for base 31 — N = 15.00–15.99
N.i 0 1 2 3 4 5 6 7 8 9
15.0 0.788602 0.788796 0.788990 0.789184 0.789378 0.789571 0.789765 0.789958 0.790151 0.790344
15.1 0.790537 0.790730 0.790923 0.791115 0.791308 0.791500 0.791692 0.791884 0.792076 0.792268
15.2 0.792459 0.792651 0.792842 0.793034 0.793225 0.793416 0.793607 0.793797 0.793988 0.794179
15.3 0.794369 0.794559 0.794749 0.794939 0.795129 0.795319 0.795509 0.795698 0.795888 0.796077
15.4 0.796266 0.796455 0.796644 0.796833 0.797021 0.797210 0.797398 0.797587 0.797775 0.797963
15.5 0.798151 0.798339 0.798526 0.798714 0.798901 0.799089 0.799276 0.799463 0.799650 0.799837
15.6 0.800024 0.800210 0.800397 0.800583 0.800769 0.800955 0.801142 0.801327 0.801513 0.801699
15.7 0.801884 0.802070 0.802255 0.802440 0.802625 0.802810 0.802995 0.803180 0.803364 0.803549
15.8 0.803733 0.803918 0.804102 0.804286 0.804470 0.804653 0.804837 0.805021 0.805204 0.805387
15.9 0.805571 0.805754 0.805937 0.806120 0.806302 0.806485 0.806667 0.806850 0.807032 0.807214
Logarithm Table for base 31 — N = 16.00–16.99
N.i 0 1 2 3 4 5 6 7 8 9
16.0 0.807396 0.807578 0.807760 0.807942 0.808123 0.808305 0.808486 0.808668 0.808849 0.809030
16.1 0.809211 0.809392 0.809572 0.809753 0.809933 0.810114 0.810294 0.810474 0.810654 0.810834
16.2 0.811014 0.811194 0.811373 0.811553 0.811732 0.811911 0.812090 0.812269 0.812448 0.812627
16.3 0.812806 0.812985 0.813163 0.813341 0.813520 0.813698 0.813876 0.814054 0.814232 0.814409
16.4 0.814587 0.814765 0.814942 0.815119 0.815296 0.815473 0.815650 0.815827 0.816004 0.816181
16.5 0.816357 0.816534 0.816710 0.816886 0.817062 0.817238 0.817414 0.817590 0.817766 0.817941
16.6 0.818117 0.818292 0.818467 0.818643 0.818818 0.818993 0.819167 0.819342 0.819517 0.819691
16.7 0.819866 0.820040 0.820214 0.820388 0.820562 0.820736 0.820910 0.821084 0.821257 0.821431
16.8 0.821604 0.821778 0.821951 0.822124 0.822297 0.822470 0.822643 0.822815 0.822988 0.823160
16.9 0.823333 0.823505 0.823677 0.823849 0.824021 0.824193 0.824365 0.824536 0.824708 0.824879
Logarithm Table for base 31 — N = 17.00–17.99
N.i 0 1 2 3 4 5 6 7 8 9
17.0 0.825051 0.825222 0.825393 0.825564 0.825735 0.825906 0.826077 0.826247 0.826418 0.826588
17.1 0.826759 0.826929 0.827099 0.827269 0.827439 0.827609 0.827779 0.827948 0.828118 0.828287
17.2 0.828457 0.828626 0.828795 0.828964 0.829133 0.829302 0.829471 0.829639 0.829808 0.829976
17.3 0.830145 0.830313 0.830481 0.830649 0.830817 0.830985 0.831153 0.831321 0.831488 0.831656
17.4 0.831823 0.831991 0.832158 0.832325 0.832492 0.832659 0.832826 0.832992 0.833159 0.833326
17.5 0.833492 0.833658 0.833825 0.833991 0.834157 0.834323 0.834489 0.834655 0.834820 0.834986
17.6 0.835151 0.835317 0.835482 0.835647 0.835812 0.835977 0.836142 0.836307 0.836472 0.836637
17.7 0.836801 0.836966 0.837130 0.837294 0.837459 0.837623 0.837787 0.837951 0.838114 0.838278
17.8 0.838442 0.838605 0.838769 0.838932 0.839095 0.839259 0.839422 0.839585 0.839748 0.839910
17.9 0.840073 0.840236 0.840398 0.840561 0.840723 0.840886 0.841048 0.841210 0.841372 0.841534
Logarithm Table for base 31 — N = 18.00–18.99
N.i 0 1 2 3 4 5 6 7 8 9
18.0 0.841696 0.841857 0.842019 0.842180 0.842342 0.842503 0.842665 0.842826 0.842987 0.843148
18.1 0.843309 0.843470 0.843630 0.843791 0.843952 0.844112 0.844273 0.844433 0.844593 0.844753
18.2 0.844913 0.845073 0.845233 0.845393 0.845553 0.845712 0.845872 0.846031 0.846191 0.846350
18.3 0.846509 0.846668 0.846827 0.846986 0.847145 0.847304 0.847462 0.847621 0.847779 0.847938
18.4 0.848096 0.848254 0.848412 0.848570 0.848728 0.848886 0.849044 0.849202 0.849359 0.849517
18.5 0.849674 0.849832 0.849989 0.850146 0.850303 0.850460 0.850617 0.850774 0.850931 0.851088
18.6 0.851244 0.851401 0.851557 0.851713 0.851870 0.852026 0.852182 0.852338 0.852494 0.852650
18.7 0.852806 0.852961 0.853117 0.853272 0.853428 0.853583 0.853738 0.853894 0.854049 0.854204
18.8 0.854359 0.854514 0.854668 0.854823 0.854978 0.855132 0.855287 0.855441 0.855595 0.855749
18.9 0.855904 0.856058 0.856212 0.856365 0.856519 0.856673 0.856827 0.856980 0.857134 0.857287
Logarithm Table for base 31 — N = 19.00–19.99
N.i 0 1 2 3 4 5 6 7 8 9
19.0 0.857440 0.857594 0.857747 0.857900 0.858053 0.858206 0.858358 0.858511 0.858664 0.858816
19.1 0.858969 0.859121 0.859274 0.859426 0.859578 0.859730 0.859882 0.860034 0.860186 0.860338
19.2 0.860490 0.860641 0.860793 0.860944 0.861096 0.861247 0.861398 0.861549 0.861700 0.861851
19.3 0.862002 0.862153 0.862304 0.862455 0.862605 0.862756 0.862906 0.863057 0.863207 0.863357
19.4 0.863507 0.863657 0.863807 0.863957 0.864107 0.864257 0.864407 0.864556 0.864706 0.864855
19.5 0.865005 0.865154 0.865303 0.865452 0.865601 0.865750 0.865899 0.866048 0.866197 0.866345
19.6 0.866494 0.866643 0.866791 0.866939 0.867088 0.867236 0.867384 0.867532 0.867680 0.867828
19.7 0.867976 0.868124 0.868272 0.868419 0.868567 0.868714 0.868862 0.869009 0.869156 0.869303
19.8 0.869451 0.869598 0.869745 0.869891 0.870038 0.870185 0.870332 0.870478 0.870625 0.870771
19.9 0.870918 0.871064 0.871210 0.871356 0.871502 0.871648 0.871794 0.871940 0.872086 0.872232
Logarithm Table for base 31 — N = 20.00–20.99
N.i 0 1 2 3 4 5 6 7 8 9
20.0 0.872377 0.872523 0.872668 0.872814 0.872959 0.873104 0.873250 0.873395 0.873540 0.873685
20.1 0.873830 0.873974 0.874119 0.874264 0.874409 0.874553 0.874698 0.874842 0.874986 0.875131
20.2 0.875275 0.875419 0.875563 0.875707 0.875851 0.875995 0.876139 0.876282 0.876426 0.876569
20.3 0.876713 0.876856 0.877000 0.877143 0.877286 0.877429 0.877572 0.877715 0.877858 0.878001
20.4 0.878144 0.878287 0.878429 0.878572 0.878714 0.878857 0.878999 0.879141 0.879284 0.879426
20.5 0.879568 0.879710 0.879852 0.879994 0.880136 0.880277 0.880419 0.880561 0.880702 0.880844
20.6 0.880985 0.881126 0.881268 0.881409 0.881550 0.881691 0.881832 0.881973 0.882114 0.882254
20.7 0.882395 0.882536 0.882676 0.882817 0.882957 0.883098 0.883238 0.883378 0.883518 0.883659
20.8 0.883799 0.883939 0.884078 0.884218 0.884358 0.884498 0.884637 0.884777 0.884916 0.885056
20.9 0.885195 0.885335 0.885474 0.885613 0.885752 0.885891 0.886030 0.886169 0.886308 0.886447
Logarithm Table for base 31 — N = 21.00–21.99
N.i 0 1 2 3 4 5 6 7 8 9
21.0 0.886585 0.886724 0.886862 0.887001 0.887139 0.887278 0.887416 0.887554 0.887693 0.887831
21.1 0.887969 0.888107 0.888245 0.888382 0.888520 0.888658 0.888796 0.888933 0.889071 0.889208
21.2 0.889346 0.889483 0.889620 0.889757 0.889894 0.890032 0.890169 0.890305 0.890442 0.890579
21.3 0.890716 0.890853 0.890989 0.891126 0.891262 0.891399 0.891535 0.891671 0.891808 0.891944
21.4 0.892080 0.892216 0.892352 0.892488 0.892624 0.892759 0.892895 0.893031 0.893166 0.893302
21.5 0.893437 0.893573 0.893708 0.893844 0.893979 0.894114 0.894249 0.894384 0.894519 0.894654
21.6 0.894789 0.894924 0.895058 0.895193 0.895328 0.895462 0.895597 0.895731 0.895865 0.896000
21.7 0.896134 0.896268 0.896402 0.896536 0.896670 0.896804 0.896938 0.897072 0.897205 0.897339
21.8 0.897473 0.897606 0.897740 0.897873 0.898007 0.898140 0.898273 0.898406 0.898539 0.898673
21.9 0.898806 0.898938 0.899071 0.899204 0.899337 0.899470 0.899602 0.899735 0.899867 0.900000
Logarithm Table for base 31 — N = 22.00–22.99
N.i 0 1 2 3 4 5 6 7 8 9
22.0 0.900132 0.900265 0.900397 0.900529 0.900661 0.900793 0.900925 0.901057 0.901189 0.901321
22.1 0.901453 0.901585 0.901716 0.901848 0.901979 0.902111 0.902242 0.902374 0.902505 0.902636
22.2 0.902768 0.902899 0.903030 0.903161 0.903292 0.903423 0.903554 0.903684 0.903815 0.903946
22.3 0.904076 0.904207 0.904337 0.904468 0.904598 0.904729 0.904859 0.904989 0.905119 0.905249
22.4 0.905379 0.905509 0.905639 0.905769 0.905899 0.906029 0.906158 0.906288 0.906417 0.906547
22.5 0.906676 0.906806 0.906935 0.907064 0.907194 0.907323 0.907452 0.907581 0.907710 0.907839
22.6 0.907968 0.908097 0.908225 0.908354 0.908483 0.908611 0.908740 0.908868 0.908997 0.909125
22.7 0.909254 0.909382 0.909510 0.909638 0.909766 0.909894 0.910022 0.910150 0.910278 0.910406
22.8 0.910534 0.910661 0.910789 0.910916 0.911044 0.911171 0.911299 0.911426 0.911554 0.911681
22.9 0.911808 0.911935 0.912062 0.912189 0.912316 0.912443 0.912570 0.912697 0.912824 0.912950
Logarithm Table for base 31 — N = 23.00–23.99
N.i 0 1 2 3 4 5 6 7 8 9
23.0 0.913077 0.913203 0.913330 0.913456 0.913583 0.913709 0.913836 0.913962 0.914088 0.914214
23.1 0.914340 0.914466 0.914592 0.914718 0.914844 0.914970 0.915096 0.915221 0.915347 0.915473
23.2 0.915598 0.915724 0.915849 0.915974 0.916100 0.916225 0.916350 0.916475 0.916601 0.916726
23.3 0.916851 0.916976 0.917100 0.917225 0.917350 0.917475 0.917600 0.917724 0.917849 0.917973
23.4 0.918098 0.918222 0.918347 0.918471 0.918595 0.918719 0.918844 0.918968 0.919092 0.919216
23.5 0.919340 0.919463 0.919587 0.919711 0.919835 0.919959 0.920082 0.920206 0.920329 0.920453
23.6 0.920576 0.920700 0.920823 0.920946 0.921069 0.921192 0.921316 0.921439 0.921562 0.921685
23.7 0.921807 0.921930 0.922053 0.922176 0.922299 0.922421 0.922544 0.922666 0.922789 0.922911
23.8 0.923034 0.923156 0.923278 0.923400 0.923523 0.923645 0.923767 0.923889 0.924011 0.924133
23.9 0.924255 0.924376 0.924498 0.924620 0.924742 0.924863 0.924985 0.925106 0.925228 0.925349
Logarithm Table for base 31 — N = 24.00–24.99
N.i 0 1 2 3 4 5 6 7 8 9
24.0 0.925470 0.925592 0.925713 0.925834 0.925955 0.926077 0.926198 0.926319 0.926440 0.926560
24.1 0.926681 0.926802 0.926923 0.927044 0.927164 0.927285 0.927405 0.927526 0.927646 0.927767
24.2 0.927887 0.928007 0.928128 0.928248 0.928368 0.928488 0.928608 0.928728 0.928848 0.928968
24.3 0.929088 0.929208 0.929328 0.929447 0.929567 0.929687 0.929806 0.929926 0.930045 0.930165
24.4 0.930284 0.930403 0.930523 0.930642 0.930761 0.930880 0.930999 0.931118 0.931237 0.931356
24.5 0.931475 0.931594 0.931713 0.931831 0.931950 0.932069 0.932187 0.932306 0.932424 0.932543
24.6 0.932661 0.932779 0.932898 0.933016 0.933134 0.933252 0.933371 0.933489 0.933607 0.933725
24.7 0.933843 0.933960 0.934078 0.934196 0.934314 0.934431 0.934549 0.934667 0.934784 0.934902
24.8 0.935019 0.935137 0.935254 0.935371 0.935488 0.935606 0.935723 0.935840 0.935957 0.936074
24.9 0.936191 0.936308 0.936425 0.936542 0.936658 0.936775 0.936892 0.937008 0.937125 0.937242
Logarithm Table for base 31 — N = 25.00–25.99
N.i 0 1 2 3 4 5 6 7 8 9
25.0 0.937358 0.937475 0.937591 0.937707 0.937824 0.937940 0.938056 0.938172 0.938289 0.938405
25.1 0.938521 0.938637 0.938753 0.938868 0.938984 0.939100 0.939216 0.939332 0.939447 0.939563
25.2 0.939679 0.939794 0.939910 0.940025 0.940140 0.940256 0.940371 0.940486 0.940602 0.940717
25.3 0.940832 0.940947 0.941062 0.941177 0.941292 0.941407 0.941522 0.941636 0.941751 0.941866
25.4 0.941981 0.942095 0.942210 0.942324 0.942439 0.942553 0.942668 0.942782 0.942896 0.943011
25.5 0.943125 0.943239 0.943353 0.943467 0.943581 0.943695 0.943809 0.943923 0.944037 0.944151
25.6 0.944265 0.944378 0.944492 0.944606 0.944719 0.944833 0.944946 0.945060 0.945173 0.945287
25.7 0.945400 0.945513 0.945626 0.945740 0.945853 0.945966 0.946079 0.946192 0.946305 0.946418
25.8 0.946531 0.946644 0.946756 0.946869 0.946982 0.947095 0.947207 0.947320 0.947432 0.947545
25.9 0.947657 0.947770 0.947882 0.947994 0.948107 0.948219 0.948331 0.948443 0.948555 0.948667
Logarithm Table for base 31 — N = 26.00–26.99
N.i 0 1 2 3 4 5 6 7 8 9
26.0 0.948779 0.948891 0.949003 0.949115 0.949227 0.949339 0.949451 0.949562 0.949674 0.949786
26.1 0.949897 0.950009 0.950120 0.950232 0.950343 0.950455 0.950566 0.950677 0.950789 0.950900
26.2 0.951011 0.951122 0.951233 0.951344 0.951455 0.951566 0.951677 0.951788 0.951899 0.952010
26.3 0.952120 0.952231 0.952342 0.952452 0.952563 0.952673 0.952784 0.952894 0.953005 0.953115
26.4 0.953225 0.953336 0.953446 0.953556 0.953666 0.953776 0.953887 0.953997 0.954107 0.954217
26.5 0.954326 0.954436 0.954546 0.954656 0.954766 0.954875 0.954985 0.955095 0.955204 0.955314
26.6 0.955423 0.955533 0.955642 0.955751 0.955861 0.955970 0.956079 0.956189 0.956298 0.956407
26.7 0.956516 0.956625 0.956734 0.956843 0.956952 0.957061 0.957170 0.957278 0.957387 0.957496
26.8 0.957605 0.957713 0.957822 0.957930 0.958039 0.958147 0.958256 0.958364 0.958473 0.958581
26.9 0.958689 0.958797 0.958906 0.959014 0.959122 0.959230 0.959338 0.959446 0.959554 0.959662
Logarithm Table for base 31 — N = 27.00–27.99
N.i 0 1 2 3 4 5 6 7 8 9
27.0 0.959770 0.959878 0.959985 0.960093 0.960201 0.960308 0.960416 0.960524 0.960631 0.960739
27.1 0.960846 0.960954 0.961061 0.961168 0.961276 0.961383 0.961490 0.961597 0.961705 0.961812
27.2 0.961919 0.962026 0.962133 0.962240 0.962347 0.962454 0.962560 0.962667 0.962774 0.962881
27.3 0.962987 0.963094 0.963201 0.963307 0.963414 0.963520 0.963627 0.963733 0.963840 0.963946
27.4 0.964052 0.964158 0.964265 0.964371 0.964477 0.964583 0.964689 0.964795 0.964901 0.965007
27.5 0.965113 0.965219 0.965325 0.965431 0.965536 0.965642 0.965748 0.965853 0.965959 0.966065
27.6 0.966170 0.966276 0.966381 0.966486 0.966592 0.966697 0.966802 0.966908 0.967013 0.967118
27.7 0.967223 0.967328 0.967433 0.967539 0.967644 0.967748 0.967853 0.967958 0.968063 0.968168
27.8 0.968273 0.968377 0.968482 0.968587 0.968691 0.968796 0.968901 0.969005 0.969109 0.969214
27.9 0.969318 0.969423 0.969527 0.969631 0.969736 0.969840 0.969944 0.970048 0.970152 0.970256
Logarithm Table for base 31 — N = 28.00–28.99
N.i 0 1 2 3 4 5 6 7 8 9
28.0 0.970360 0.970464 0.970568 0.970672 0.970776 0.970880 0.970984 0.971087 0.971191 0.971295
28.1 0.971398 0.971502 0.971606 0.971709 0.971813 0.971916 0.972020 0.972123 0.972226 0.972330
28.2 0.972433 0.972536 0.972639 0.972742 0.972846 0.972949 0.973052 0.973155 0.973258 0.973361
28.3 0.973464 0.973567 0.973669 0.973772 0.973875 0.973978 0.974080 0.974183 0.974286 0.974388
28.4 0.974491 0.974593 0.974696 0.974798 0.974901 0.975003 0.975105 0.975208 0.975310 0.975412
28.5 0.975514 0.975617 0.975719 0.975821 0.975923 0.976025 0.976127 0.976229 0.976331 0.976433
28.6 0.976534 0.976636 0.976738 0.976840 0.976941 0.977043 0.977145 0.977246 0.977348 0.977449
28.7 0.977551 0.977652 0.977754 0.977855 0.977956 0.978058 0.978159 0.978260 0.978361 0.978463
28.8 0.978564 0.978665 0.978766 0.978867 0.978968 0.979069 0.979170 0.979271 0.979372 0.979472
28.9 0.979573 0.979674 0.979775 0.979875 0.979976 0.980077 0.980177 0.980278 0.980378 0.980479
Logarithm Table for base 31 — N = 29.00–29.99
N.i 0 1 2 3 4 5 6 7 8 9
29.0 0.980579 0.980679 0.980780 0.980880 0.980980 0.981081 0.981181 0.981281 0.981381 0.981481
29.1 0.981581 0.981682 0.981782 0.981882 0.981981 0.982081 0.982181 0.982281 0.982381 0.982481
29.2 0.982580 0.982680 0.982780 0.982879 0.982979 0.983079 0.983178 0.983278 0.983377 0.983477
29.3 0.983576 0.983675 0.983775 0.983874 0.983973 0.984073 0.984172 0.984271 0.984370 0.984469
29.4 0.984568 0.984667 0.984766 0.984865 0.984964 0.985063 0.985162 0.985261 0.985360 0.985458
29.5 0.985557 0.985656 0.985754 0.985853 0.985952 0.986050 0.986149 0.986247 0.986346 0.986444
29.6 0.986543 0.986641 0.986739 0.986838 0.986936 0.987034 0.987132 0.987230 0.987328 0.987427
29.7 0.987525 0.987623 0.987721 0.987819 0.987917 0.988014 0.988112 0.988210 0.988308 0.988406
29.8 0.988504 0.988601 0.988699 0.988797 0.988894 0.988992 0.989089 0.989187 0.989284 0.989382
29.9 0.989479 0.989576 0.989674 0.989771 0.989868 0.989966 0.990063 0.990160 0.990257 0.990354
Logarithm Table for base 31 — N = 30.00–30.99
N.i 0 1 2 3 4 5 6 7 8 9
30.0 0.990451 0.990548 0.990645 0.990742 0.990839 0.990936 0.991033 0.991130 0.991227 0.991324
30.1 0.991420 0.991517 0.991614 0.991711 0.991807 0.991904 0.992000 0.992097 0.992193 0.992290
30.2 0.992386 0.992483 0.992579 0.992675 0.992772 0.992868 0.992964 0.993061 0.993157 0.993253
30.3 0.993349 0.993445 0.993541 0.993637 0.993733 0.993829 0.993925 0.994021 0.994117 0.994213
30.4 0.994308 0.994404 0.994500 0.994596 0.994691 0.994787 0.994883 0.994978 0.995074 0.995169
30.5 0.995265 0.995360 0.995456 0.995551 0.995646 0.995742 0.995837 0.995932 0.996028 0.996123
30.6 0.996218 0.996313 0.996408 0.996503 0.996598 0.996693 0.996788 0.996883 0.996978 0.997073
30.7 0.997168 0.997263 0.997358 0.997453 0.997547 0.997642 0.997737 0.997831 0.997926 0.998021
30.8 0.998115 0.998210 0.998304 0.998399 0.998493 0.998588 0.998682 0.998776 0.998871 0.998965
30.9 0.999059 0.999153 0.999248 0.999342 0.999436 0.999530 0.999624 0.999718 0.999812 0.999906
Logarithm Table for base 31 — N = 31.00–31.99
N.i 0 1 2 3 4 5 6 7 8 9
31.0 1.000000 1.000094 1.000188 1.000282 1.000376 1.000469 1.000563 1.000657 1.000751 1.000844
31.1 1.000938 1.001031 1.001125 1.001219 1.001312 1.001406 1.001499 1.001593 1.001686 1.001779
31.2 1.001873 1.001966 1.002059 1.002153 1.002246 1.002339 1.002432 1.002525 1.002618 1.002712
31.3 1.002805 1.002898 1.002991 1.003084 1.003176 1.003269 1.003362 1.003455 1.003548 1.003641
31.4 1.003733 1.003826 1.003919 1.004012 1.004104 1.004197 1.004289 1.004382 1.004474 1.004567
31.5 1.004659 1.004752 1.004844 1.004937 1.005029 1.005121 1.005214 1.005306 1.005398 1.005490
31.6 1.005582 1.005675 1.005767 1.005859 1.005951 1.006043 1.006135 1.006227 1.006319 1.006411
31.7 1.006502 1.006594 1.006686 1.006778 1.006870 1.006961 1.007053 1.007145 1.007236 1.007328
31.8 1.007420 1.007511 1.007603 1.007694 1.007786 1.007877 1.007969 1.008060 1.008151 1.008243
31.9 1.008334 1.008425 1.008517 1.008608 1.008699 1.008790 1.008881 1.008972 1.009063 1.009154
Logarithm Table for base 31 — N = 32.00–32.99
N.i 0 1 2 3 4 5 6 7 8 9
32.0 1.009245 1.009336 1.009427 1.009518 1.009609 1.009700 1.009791 1.009882 1.009973 1.010063
32.1 1.010154 1.010245 1.010335 1.010426 1.010517 1.010607 1.010698 1.010788 1.010879 1.010969
32.2 1.011060 1.011150 1.011241 1.011331 1.011421 1.011512 1.011602 1.011692 1.011782 1.011873
32.3 1.011963 1.012053 1.012143 1.012233 1.012323 1.012413 1.012503 1.012593 1.012683 1.012773
32.4 1.012863 1.012953 1.013043 1.013132 1.013222 1.013312 1.013402 1.013491 1.013581 1.013671
32.5 1.013760 1.013850 1.013940 1.014029 1.014119 1.014208 1.014297 1.014387 1.014476 1.014566
32.6 1.014655 1.014744 1.014834 1.014923 1.015012 1.015101 1.015190 1.015280 1.015369 1.015458
32.7 1.015547 1.015636 1.015725 1.015814 1.015903 1.015992 1.016081 1.016170 1.016258 1.016347
32.8 1.016436 1.016525 1.016614 1.016702 1.016791 1.016880 1.016968 1.017057 1.017145 1.017234
32.9 1.017323 1.017411 1.017500 1.017588 1.017676 1.017765 1.017853 1.017941 1.018030 1.018118
Logarithm Table for base 31 — N = 33.00–33.99
N.i 0 1 2 3 4 5 6 7 8 9
33.0 1.018206 1.018295 1.018383 1.018471 1.018559 1.018647 1.018735 1.018823 1.018911 1.018999
33.1 1.019087 1.019175 1.019263 1.019351 1.019439 1.019527 1.019615 1.019703 1.019790 1.019878
33.2 1.019966 1.020054 1.020141 1.020229 1.020317 1.020404 1.020492 1.020579 1.020667 1.020754
33.3 1.020842 1.020929 1.021017 1.021104 1.021191 1.021279 1.021366 1.021453 1.021540 1.021628
33.4 1.021715 1.021802 1.021889 1.021976 1.022063 1.022151 1.022238 1.022325 1.022412 1.022499
33.5 1.022585 1.022672 1.022759 1.022846 1.022933 1.023020 1.023107 1.023193 1.023280 1.023367
33.6 1.023453 1.023540 1.023627 1.023713 1.023800 1.023886 1.023973 1.024060 1.024146 1.024232
33.7 1.024319 1.024405 1.024492 1.024578 1.024664 1.024751 1.024837 1.024923 1.025009 1.025096
33.8 1.025182 1.025268 1.025354 1.025440 1.025526 1.025612 1.025698 1.025784 1.025870 1.025956
33.9 1.026042 1.026128 1.026214 1.026300 1.026385 1.026471 1.026557 1.026643 1.026728 1.026814
Logarithm Table for base 31 — N = 34.00–34.99
N.i 0 1 2 3 4 5 6 7 8 9
34.0 1.026900 1.026985 1.027071 1.027157 1.027242 1.027328 1.027413 1.027499 1.027584 1.027670
34.1 1.027755 1.027840 1.027926 1.028011 1.028096 1.028182 1.028267 1.028352 1.028437 1.028523
34.2 1.028608 1.028693 1.028778 1.028863 1.028948 1.029033 1.029118 1.029203 1.029288 1.029373
34.3 1.029458 1.029543 1.029628 1.029713 1.029797 1.029882 1.029967 1.030052 1.030136 1.030221
34.4 1.030306 1.030390 1.030475 1.030560 1.030644 1.030729 1.030813 1.030898 1.030982 1.031067
34.5 1.031151 1.031235 1.031320 1.031404 1.031488 1.031573 1.031657 1.031741 1.031825 1.031910
34.6 1.031994 1.032078 1.032162 1.032246 1.032330 1.032414 1.032498 1.032582 1.032666 1.032750
34.7 1.032834 1.032918 1.033002 1.033086 1.033170 1.033254 1.033337 1.033421 1.033505 1.033589
34.8 1.033672 1.033756 1.033840 1.033923 1.034007 1.034090 1.034174 1.034257 1.034341 1.034424
34.9 1.034508 1.034591 1.034675 1.034758 1.034841 1.034925 1.035008 1.035091 1.035175 1.035258
Logarithm Table for base 31 — N = 35.00–35.99
N.i 0 1 2 3 4 5 6 7 8 9
35.0 1.035341 1.035424 1.035507 1.035591 1.035674 1.035757 1.035840 1.035923 1.036006 1.036089
35.1 1.036172 1.036255 1.036338 1.036421 1.036504 1.036586 1.036669 1.036752 1.036835 1.036918
35.2 1.037000 1.037083 1.037166 1.037248 1.037331 1.037414 1.037496 1.037579 1.037661 1.037744
35.3 1.037827 1.037909 1.037991 1.038074 1.038156 1.038239 1.038321 1.038403 1.038486 1.038568
35.4 1.038650 1.038733 1.038815 1.038897 1.038979 1.039061 1.039143 1.039226 1.039308 1.039390
35.5 1.039472 1.039554 1.039636 1.039718 1.039800 1.039882 1.039964 1.040045 1.040127 1.040209
35.6 1.040291 1.040373 1.040454 1.040536 1.040618 1.040700 1.040781 1.040863 1.040945 1.041026
35.7 1.041108 1.041189 1.041271 1.041352 1.041434 1.041515 1.041597 1.041678 1.041760 1.041841
35.8 1.041922 1.042004 1.042085 1.042166 1.042248 1.042329 1.042410 1.042491 1.042572 1.042653
35.9 1.042735 1.042816 1.042897 1.042978 1.043059 1.043140 1.043221 1.043302 1.043383 1.043464
Logarithm Table for base 31 — N = 36.00–36.99
N.i 0 1 2 3 4 5 6 7 8 9
36.0 1.043545 1.043626 1.043706 1.043787 1.043868 1.043949 1.044030 1.044110 1.044191 1.044272
36.1 1.044352 1.044433 1.044514 1.044594 1.044675 1.044755 1.044836 1.044917 1.044997 1.045078
36.2 1.045158 1.045238 1.045319 1.045399 1.045480 1.045560 1.045640 1.045721 1.045801 1.045881
36.3 1.045961 1.046042 1.046122 1.046202 1.046282 1.046362 1.046442 1.046522 1.046602 1.046682
36.4 1.046762 1.046842 1.046922 1.047002 1.047082 1.047162 1.047242 1.047322 1.047402 1.047482
36.5 1.047561 1.047641 1.047721 1.047801 1.047880 1.047960 1.048040 1.048119 1.048199 1.048279
36.6 1.048358 1.048438 1.048517 1.048597 1.048676 1.048756 1.048835 1.048915 1.048994 1.049073
36.7 1.049153 1.049232 1.049311 1.049391 1.049470 1.049549 1.049628 1.049708 1.049787 1.049866
36.8 1.049945 1.050024 1.050103 1.050182 1.050261 1.050340 1.050419 1.050498 1.050577 1.050656
36.9 1.050735 1.050814 1.050893 1.050972 1.051051 1.051130 1.051208 1.051287 1.051366 1.051445
Logarithm Table for base 31 — N = 37.00–37.99
N.i 0 1 2 3 4 5 6 7 8 9
37.0 1.051523 1.051602 1.051681 1.051759 1.051838 1.051917 1.051995 1.052074 1.052152 1.052231
37.1 1.052309 1.052388 1.052466 1.052545 1.052623 1.052702 1.052780 1.052858 1.052937 1.053015
37.2 1.053093 1.053172 1.053250 1.053328 1.053406 1.053484 1.053563 1.053641 1.053719 1.053797
37.3 1.053875 1.053953 1.054031 1.054109 1.054187 1.054265 1.054343 1.054421 1.054499 1.054577
37.4 1.054655 1.054733 1.054810 1.054888 1.054966 1.055044 1.055121 1.055199 1.055277 1.055355
37.5 1.055432 1.055510 1.055588 1.055665 1.055743 1.055820 1.055898 1.055975 1.056053 1.056130
37.6 1.056208 1.056285 1.056363 1.056440 1.056517 1.056595 1.056672 1.056749 1.056827 1.056904
37.7 1.056981 1.057058 1.057136 1.057213 1.057290 1.057367 1.057444 1.057521 1.057599 1.057676
37.8 1.057753 1.057830 1.057907 1.057984 1.058061 1.058138 1.058215 1.058291 1.058368 1.058445
37.9 1.058522 1.058599 1.058676 1.058752 1.058829 1.058906 1.058983 1.059059 1.059136 1.059213
Logarithm Table for base 31 — N = 38.00–38.99
N.i 0 1 2 3 4 5 6 7 8 9
38.0 1.059289 1.059366 1.059443 1.059519 1.059596 1.059672 1.059749 1.059825 1.059902 1.059978
38.1 1.060055 1.060131 1.060208 1.060284 1.060360 1.060437 1.060513 1.060589 1.060666 1.060742
38.2 1.060818 1.060894 1.060970 1.061047 1.061123 1.061199 1.061275 1.061351 1.061427 1.061503
38.3 1.061579 1.061655 1.061731 1.061807 1.061883 1.061959 1.062035 1.062111 1.062187 1.062263
38.4 1.062339 1.062415 1.062490 1.062566 1.062642 1.062718 1.062793 1.062869 1.062945 1.063020
38.5 1.063096 1.063172 1.063247 1.063323 1.063398 1.063474 1.063550 1.063625 1.063701 1.063776
38.6 1.063851 1.063927 1.064002 1.064078 1.064153 1.064228 1.064304 1.064379 1.064454 1.064530
38.7 1.064605 1.064680 1.064755 1.064831 1.064906 1.064981 1.065056 1.065131 1.065206 1.065281
38.8 1.065356 1.065431 1.065506 1.065581 1.065656 1.065731 1.065806 1.065881 1.065956 1.066031
38.9 1.066106 1.066181 1.066256 1.066330 1.066405 1.066480 1.066555 1.066630 1.066704 1.066779
Logarithm Table for base 31 — N = 39.00–39.99
N.i 0 1 2 3 4 5 6 7 8 9
39.0 1.066854 1.066928 1.067003 1.067078 1.067152 1.067227 1.067301 1.067376 1.067450 1.067525
39.1 1.067599 1.067674 1.067748 1.067823 1.067897 1.067971 1.068046 1.068120 1.068195 1.068269
39.2 1.068343 1.068417 1.068492 1.068566 1.068640 1.068714 1.068789 1.068863 1.068937 1.069011
39.3 1.069085 1.069159 1.069233 1.069307 1.069381 1.069455 1.069529 1.069603 1.069677 1.069751
39.4 1.069825 1.069899 1.069973 1.070047 1.070121 1.070194 1.070268 1.070342 1.070416 1.070490
39.5 1.070563 1.070637 1.070711 1.070784 1.070858 1.070932 1.071005 1.071079 1.071152 1.071226
39.6 1.071300 1.071373 1.071447 1.071520 1.071594 1.071667 1.071740 1.071814 1.071887 1.071961
39.7 1.072034 1.072107 1.072181 1.072254 1.072327 1.072401 1.072474 1.072547 1.072620 1.072693
39.8 1.072767 1.072840 1.072913 1.072986 1.073059 1.073132 1.073205 1.073278 1.073351 1.073424
39.9 1.073497 1.073570 1.073643 1.073716 1.073789 1.073862 1.073935 1.074008 1.074081 1.074154
Logarithm Table for base 31 — N = 40.00–40.99
N.i 0 1 2 3 4 5 6 7 8 9
40.0 1.074226 1.074299 1.074372 1.074445 1.074517 1.074590 1.074663 1.074735 1.074808 1.074881
40.1 1.074953 1.075026 1.075099 1.075171 1.075244 1.075316 1.075389 1.075461 1.075534 1.075606
40.2 1.075679 1.075751 1.075824 1.075896 1.075968 1.076041 1.076113 1.076185 1.076258 1.076330
40.3 1.076402 1.076474 1.076547 1.076619 1.076691 1.076763 1.076835 1.076908 1.076980 1.077052
40.4 1.077124 1.077196 1.077268 1.077340 1.077412 1.077484 1.077556 1.077628 1.077700 1.077772
40.5 1.077844 1.077916 1.077988 1.078059 1.078131 1.078203 1.078275 1.078347 1.078419 1.078490
40.6 1.078562 1.078634 1.078705 1.078777 1.078849 1.078920 1.078992 1.079064 1.079135 1.079207
40.7 1.079278 1.079350 1.079421 1.079493 1.079564 1.079636 1.079707 1.079779 1.079850 1.079922
40.8 1.079993 1.080064 1.080136 1.080207 1.080278 1.080350 1.080421 1.080492 1.080563 1.080635
40.9 1.080706 1.080777 1.080848 1.080919 1.080991 1.081062 1.081133 1.081204 1.081275 1.081346
Logarithm Table for base 31 — N = 41.00–41.99
N.i 0 1 2 3 4 5 6 7 8 9
41.0 1.081417 1.081488 1.081559 1.081630 1.081701 1.081772 1.081843 1.081914 1.081985 1.082056
41.1 1.082126 1.082197 1.082268 1.082339 1.082410 1.082480 1.082551 1.082622 1.082693 1.082763
41.2 1.082834 1.082905 1.082975 1.083046 1.083117 1.083187 1.083258 1.083328 1.083399 1.083469
41.3 1.083540 1.083611 1.083681 1.083751 1.083822 1.083892 1.083963 1.084033 1.084104 1.084174
41.4 1.084244 1.084315 1.084385 1.084455 1.084525 1.084596 1.084666 1.084736 1.084806 1.084877
41.5 1.084947 1.085017 1.085087 1.085157 1.085227 1.085297 1.085368 1.085438 1.085508 1.085578
41.6 1.085648 1.085718 1.085788 1.085858 1.085928 1.085997 1.086067 1.086137 1.086207 1.086277
41.7 1.086347 1.086417 1.086486 1.086556 1.086626 1.086696 1.086766 1.086835 1.086905 1.086975
41.8 1.087044 1.087114 1.087184 1.087253 1.087323 1.087392 1.087462 1.087532 1.087601 1.087671
41.9 1.087740 1.087810 1.087879 1.087949 1.088018 1.088087 1.088157 1.088226 1.088296 1.088365
Logarithm Table for base 31 — N = 42.00–42.99
N.i 0 1 2 3 4 5 6 7 8 9
42.0 1.088434 1.088504 1.088573 1.088642 1.088712 1.088781 1.088850 1.088919 1.088988 1.089058
42.1 1.089127 1.089196 1.089265 1.089334 1.089403 1.089473 1.089542 1.089611 1.089680 1.089749
42.2 1.089818 1.089887 1.089956 1.090025 1.090094 1.090163 1.090231 1.090300 1.090369 1.090438
42.3 1.090507 1.090576 1.090645 1.090713 1.090782 1.090851 1.090920 1.090989 1.091057 1.091126
42.4 1.091195 1.091263 1.091332 1.091401 1.091469 1.091538 1.091606 1.091675 1.091744 1.091812
42.5 1.091881 1.091949 1.092018 1.092086 1.092155 1.092223 1.092291 1.092360 1.092428 1.092497
42.6 1.092565 1.092633 1.092702 1.092770 1.092838 1.092907 1.092975 1.093043 1.093111 1.093180
42.7 1.093248 1.093316 1.093384 1.093452 1.093520 1.093589 1.093657 1.093725 1.093793 1.093861
42.8 1.093929 1.093997 1.094065 1.094133 1.094201 1.094269 1.094337 1.094405 1.094473 1.094541
42.9 1.094609 1.094676 1.094744 1.094812 1.094880 1.094948 1.095016 1.095083 1.095151 1.095219
Logarithm Table for base 31 — N = 43.00–43.99
N.i 0 1 2 3 4 5 6 7 8 9
43.0 1.095287 1.095354 1.095422 1.095490 1.095557 1.095625 1.095693 1.095760 1.095828 1.095895
43.1 1.095963 1.096031 1.096098 1.096166 1.096233 1.096301 1.096368 1.096436 1.096503 1.096570
43.2 1.096638 1.096705 1.096773 1.096840 1.096907 1.096975 1.097042 1.097109 1.097177 1.097244
43.3 1.097311 1.097378 1.097446 1.097513 1.097580 1.097647 1.097714 1.097782 1.097849 1.097916
43.4 1.097983 1.098050 1.098117 1.098184 1.098251 1.098318 1.098385 1.098452 1.098519 1.098586
43.5 1.098653 1.098720 1.098787 1.098854 1.098921 1.098988 1.099055 1.099121 1.099188 1.099255
43.6 1.099322 1.099389 1.099455 1.099522 1.099589 1.099656 1.099722 1.099789 1.099856 1.099922
43.7 1.099989 1.100056 1.100122 1.100189 1.100255 1.100322 1.100389 1.100455 1.100522 1.100588
43.8 1.100655 1.100721 1.100788 1.100854 1.100920 1.100987 1.101053 1.101120 1.101186 1.101252
43.9 1.101319 1.101385 1.101451 1.101518 1.101584 1.101650 1.101716 1.101783 1.101849 1.101915
Logarithm Table for base 31 — N = 44.00–44.99
N.i 0 1 2 3 4 5 6 7 8 9
44.0 1.101981 1.102047 1.102114 1.102180 1.102246 1.102312 1.102378 1.102444 1.102510 1.102576
44.1 1.102642 1.102708 1.102774 1.102840 1.102906 1.102972 1.103038 1.103104 1.103170 1.103236
44.2 1.103302 1.103368 1.103434 1.103500 1.103565 1.103631 1.103697 1.103763 1.103829 1.103894
44.3 1.103960 1.104026 1.104091 1.104157 1.104223 1.104289 1.104354 1.104420 1.104485 1.104551
44.4 1.104617 1.104682 1.104748 1.104813 1.104879 1.104944 1.105010 1.105075 1.105141 1.105206
44.5 1.105272 1.105337 1.105403 1.105468 1.105533 1.105599 1.105664 1.105730 1.105795 1.105860
44.6 1.105925 1.105991 1.106056 1.106121 1.106187 1.106252 1.106317 1.106382 1.106447 1.106512
44.7 1.106578 1.106643 1.106708 1.106773 1.106838 1.106903 1.106968 1.107033 1.107098 1.107163
44.8 1.107228 1.107293 1.107358 1.107423 1.107488 1.107553 1.107618 1.107683 1.107748 1.107813
44.9 1.107878 1.107943 1.108007 1.108072 1.108137 1.108202 1.108267 1.108331 1.108396 1.108461
Logarithm Table for base 31 — N = 45.00–45.99
N.i 0 1 2 3 4 5 6 7 8 9
45.0 1.108526 1.108590 1.108655 1.108720 1.108784 1.108849 1.108914 1.108978 1.109043 1.109107
45.1 1.109172 1.109237 1.109301 1.109366 1.109430 1.109495 1.109559 1.109624 1.109688 1.109752
45.2 1.109817 1.109881 1.109946 1.110010 1.110075 1.110139 1.110203 1.110268 1.110332 1.110396
45.3 1.110460 1.110525 1.110589 1.110653 1.110717 1.110782 1.110846 1.110910 1.110974 1.111038
45.4 1.111103 1.111167 1.111231 1.111295 1.111359 1.111423 1.111487 1.111551 1.111615 1.111679
45.5 1.111743 1.111807 1.111871 1.111935 1.111999 1.112063 1.112127 1.112191 1.112255 1.112319
45.6 1.112383 1.112446 1.112510 1.112574 1.112638 1.112702 1.112766 1.112829 1.112893 1.112957
45.7 1.113021 1.113084 1.113148 1.113212 1.113275 1.113339 1.113403 1.113466 1.113530 1.113593
45.8 1.113657 1.113721 1.113784 1.113848 1.113911 1.113975 1.114038 1.114102 1.114165 1.114229
45.9 1.114292 1.114356 1.114419 1.114482 1.114546 1.114609 1.114673 1.114736 1.114799 1.114863
Logarithm Table for base 31 — N = 46.00–46.99
N.i 0 1 2 3 4 5 6 7 8 9
46.0 1.114926 1.114989 1.115053 1.115116 1.115179 1.115242 1.115306 1.115369 1.115432 1.115495
46.1 1.115558 1.115621 1.115685 1.115748 1.115811 1.115874 1.115937 1.116000 1.116063 1.116126
46.2 1.116189 1.116252 1.116315 1.116378 1.116441 1.116504 1.116567 1.116630 1.116693 1.116756
46.3 1.116819 1.116882 1.116945 1.117008 1.117070 1.117133 1.117196 1.117259 1.117322 1.117384
46.4 1.117447 1.117510 1.117573 1.117635 1.117698 1.117761 1.117824 1.117886 1.117949 1.118012
46.5 1.118074 1.118137 1.118199 1.118262 1.118325 1.118387 1.118450 1.118512 1.118575 1.118637
46.6 1.118700 1.118762 1.118825 1.118887 1.118950 1.119012 1.119074 1.119137 1.119199 1.119262
46.7 1.119324 1.119386 1.119449 1.119511 1.119573 1.119636 1.119698 1.119760 1.119822 1.119885
46.8 1.119947 1.120009 1.120071 1.120133 1.120196 1.120258 1.120320 1.120382 1.120444 1.120506
46.9 1.120568 1.120631 1.120693 1.120755 1.120817 1.120879 1.120941 1.121003 1.121065 1.121127
Logarithm Table for base 31 — N = 47.00–47.99
N.i 0 1 2 3 4 5 6 7 8 9
47.0 1.121189 1.121251 1.121313 1.121375 1.121436 1.121498 1.121560 1.121622 1.121684 1.121746
47.1 1.121808 1.121869 1.121931 1.121993 1.122055 1.122117 1.122178 1.122240 1.122302 1.122364
47.2 1.122425 1.122487 1.122549 1.122610 1.122672 1.122734 1.122795 1.122857 1.122918 1.122980
47.3 1.123042 1.123103 1.123165 1.123226 1.123288 1.123349 1.123411 1.123472 1.123534 1.123595
47.4 1.123657 1.123718 1.123779 1.123841 1.123902 1.123964 1.124025 1.124086 1.124148 1.124209
47.5 1.124270 1.124332 1.124393 1.124454 1.124515 1.124577 1.124638 1.124699 1.124760 1.124822
47.6 1.124883 1.124944 1.125005 1.125066 1.125127 1.125188 1.125250 1.125311 1.125372 1.125433
47.7 1.125494 1.125555 1.125616 1.125677 1.125738 1.125799 1.125860 1.125921 1.125982 1.126043
47.8 1.126104 1.126165 1.126226 1.126286 1.126347 1.126408 1.126469 1.126530 1.126591 1.126651
47.9 1.126712 1.126773 1.126834 1.126895 1.126955 1.127016 1.127077 1.127138 1.127198 1.127259
Logarithm Table for base 31 — N = 48.00–48.99
N.i 0 1 2 3 4 5 6 7 8 9
48.0 1.127320 1.127380 1.127441 1.127502 1.127562 1.127623 1.127683 1.127744 1.127805 1.127865
48.1 1.127926 1.127986 1.128047 1.128107 1.128168 1.128228 1.128289 1.128349 1.128410 1.128470
48.2 1.128530 1.128591 1.128651 1.128712 1.128772 1.128832 1.128893 1.128953 1.129013 1.129074
48.3 1.129134 1.129194 1.129255 1.129315 1.129375 1.129435 1.129495 1.129556 1.129616 1.129676
48.4 1.129736 1.129796 1.129857 1.129917 1.129977 1.130037 1.130097 1.130157 1.130217 1.130277
48.5 1.130337 1.130397 1.130457 1.130517 1.130577 1.130637 1.130697 1.130757 1.130817 1.130877
48.6 1.130937 1.130997 1.131057 1.131117 1.131177 1.131237 1.131296 1.131356 1.131416 1.131476
48.7 1.131536 1.131595 1.131655 1.131715 1.131775 1.131835 1.131894 1.131954 1.132014 1.132073
48.8 1.132133 1.132193 1.132252 1.132312 1.132372 1.132431 1.132491 1.132550 1.132610 1.132670
48.9 1.132729 1.132789 1.132848 1.132908 1.132967 1.133027 1.133086 1.133146 1.133205 1.133265
Logarithm Table for base 31 — N = 49.00–49.99
N.i 0 1 2 3 4 5 6 7 8 9
49.0 1.133324 1.133383 1.133443 1.133502 1.133562 1.133621 1.133680 1.133740 1.133799 1.133858
49.1 1.133918 1.133977 1.134036 1.134096 1.134155 1.134214 1.134273 1.134333 1.134392 1.134451
49.2 1.134510 1.134569 1.134629 1.134688 1.134747 1.134806 1.134865 1.134924 1.134983 1.135042
49.3 1.135102 1.135161 1.135220 1.135279 1.135338 1.135397 1.135456 1.135515 1.135574 1.135633
49.4 1.135692 1.135751 1.135809 1.135868 1.135927 1.135986 1.136045 1.136104 1.136163 1.136222
49.5 1.136280 1.136339 1.136398 1.136457 1.136516 1.136574 1.136633 1.136692 1.136751 1.136809
49.6 1.136868 1.136927 1.136986 1.137044 1.137103 1.137162 1.137220 1.137279 1.137338 1.137396
49.7 1.137455 1.137513 1.137572 1.137630 1.137689 1.137748 1.137806 1.137865 1.137923 1.137982
49.8 1.138040 1.138099 1.138157 1.138215 1.138274 1.138332 1.138391 1.138449 1.138507 1.138566
49.9 1.138624 1.138683 1.138741 1.138799 1.138858 1.138916 1.138974 1.139032 1.139091 1.139149
Logarithm Table for base 31 — N = 50.00–50.99
N.i 0 1 2 3 4 5 6 7 8 9
50.0 1.139207 1.139265 1.139324 1.139382 1.139440 1.139498 1.139556 1.139615 1.139673 1.139731
50.1 1.139789 1.139847 1.139905 1.139963 1.140021 1.140080 1.140138 1.140196 1.140254 1.140312
50.2 1.140370 1.140428 1.140486 1.140544 1.140602 1.140660 1.140718 1.140776 1.140833 1.140891
50.3 1.140949 1.141007 1.141065 1.141123 1.141181 1.141239 1.141296 1.141354 1.141412 1.141470
50.4 1.141528 1.141585 1.141643 1.141701 1.141759 1.141816 1.141874 1.141932 1.141989 1.142047
50.5 1.142105 1.142162 1.142220 1.142278 1.142335 1.142393 1.142451 1.142508 1.142566 1.142623
50.6 1.142681 1.142738 1.142796 1.142853 1.142911 1.142969 1.143026 1.143083 1.143141 1.143198
50.7 1.143256 1.143313 1.143371 1.143428 1.143485 1.143543 1.143600 1.143658 1.143715 1.143772
50.8 1.143830 1.143887 1.143944 1.144002 1.144059 1.144116 1.144173 1.144231 1.144288 1.144345
50.9 1.144402 1.144460 1.144517 1.144574 1.144631 1.144688 1.144745 1.144803 1.144860 1.144917
Logarithm Table for base 31 — N = 51.00–51.99
N.i 0 1 2 3 4 5 6 7 8 9
51.0 1.144974 1.145031 1.145088 1.145145 1.145202 1.145259 1.145316 1.145373 1.145430 1.145487
51.1 1.145544 1.145601 1.145658 1.145715 1.145772 1.145829 1.145886 1.145943 1.146000 1.146057
51.2 1.146114 1.146170 1.146227 1.146284 1.146341 1.146398 1.146455 1.146511 1.146568 1.146625
51.3 1.146682 1.146739 1.146795 1.146852 1.146909 1.146966 1.147022 1.147079 1.147136 1.147192
51.4 1.147249 1.147306 1.147362 1.147419 1.147475 1.147532 1.147589 1.147645 1.147702 1.147758
51.5 1.147815 1.147871 1.147928 1.147985 1.148041 1.148098 1.148154 1.148210 1.148267 1.148323
51.6 1.148380 1.148436 1.148493 1.148549 1.148605 1.148662 1.148718 1.148775 1.148831 1.148887
51.7 1.148944 1.149000 1.149056 1.149113 1.149169 1.149225 1.149281 1.149338 1.149394 1.149450
51.8 1.149506 1.149563 1.149619 1.149675 1.149731 1.149787 1.149843 1.149900 1.149956 1.150012
51.9 1.150068 1.150124 1.150180 1.150236 1.150292 1.150348 1.150404 1.150460 1.150517 1.150573
Logarithm Table for base 31 — N = 52.00–52.99
N.i 0 1 2 3 4 5 6 7 8 9
52.0 1.150629 1.150685 1.150741 1.150797 1.150852 1.150908 1.150964 1.151020 1.151076 1.151132
52.1 1.151188 1.151244 1.151300 1.151356 1.151412 1.151467 1.151523 1.151579 1.151635 1.151691
52.2 1.151746 1.151802 1.151858 1.151914 1.151969 1.152025 1.152081 1.152137 1.152192 1.152248
52.3 1.152304 1.152359 1.152415 1.152471 1.152526 1.152582 1.152638 1.152693 1.152749 1.152804
52.4 1.152860 1.152916 1.152971 1.153027 1.153082 1.153138 1.153193 1.153249 1.153304 1.153360
52.5 1.153415 1.153471 1.153526 1.153582 1.153637 1.153692 1.153748 1.153803 1.153859 1.153914
52.6 1.153969 1.154025 1.154080 1.154135 1.154191 1.154246 1.154301 1.154357 1.154412 1.154467
52.7 1.154522 1.154578 1.154633 1.154688 1.154743 1.154799 1.154854 1.154909 1.154964 1.155019
52.8 1.155075 1.155130 1.155185 1.155240 1.155295 1.155350 1.155405 1.155460 1.155515 1.155570
52.9 1.155626 1.155681 1.155736 1.155791 1.155846 1.155901 1.155956 1.156011 1.156066 1.156121
Logarithm Table for base 31 — N = 53.00–53.99
N.i 0 1 2 3 4 5 6 7 8 9
53.0 1.156176 1.156230 1.156285 1.156340 1.156395 1.156450 1.156505 1.156560 1.156615 1.156670
53.1 1.156724 1.156779 1.156834 1.156889 1.156944 1.156999 1.157053 1.157108 1.157163 1.157218
53.2 1.157272 1.157327 1.157382 1.157437 1.157491 1.157546 1.157601 1.157655 1.157710 1.157765
53.3 1.157819 1.157874 1.157928 1.157983 1.158038 1.158092 1.158147 1.158201 1.158256 1.158311
53.4 1.158365 1.158420 1.158474 1.158529 1.158583 1.158638 1.158692 1.158747 1.158801 1.158855
53.5 1.158910 1.158964 1.159019 1.159073 1.159128 1.159182 1.159236 1.159291 1.159345 1.159399
53.6 1.159454 1.159508 1.159562 1.159617 1.159671 1.159725 1.159779 1.159834 1.159888 1.159942
53.7 1.159996 1.160051 1.160105 1.160159 1.160213 1.160267 1.160322 1.160376 1.160430 1.160484
53.8 1.160538 1.160592 1.160646 1.160701 1.160755 1.160809 1.160863 1.160917 1.160971 1.161025
53.9 1.161079 1.161133 1.161187 1.161241 1.161295 1.161349 1.161403 1.161457 1.161511 1.161565
Logarithm Table for base 31 — N = 54.00–54.99
N.i 0 1 2 3 4 5 6 7 8 9
54.0 1.161619 1.161673 1.161727 1.161781 1.161834 1.161888 1.161942 1.161996 1.162050 1.162104
54.1 1.162158 1.162211 1.162265 1.162319 1.162373 1.162427 1.162480 1.162534 1.162588 1.162642
54.2 1.162695 1.162749 1.162803 1.162856 1.162910 1.162964 1.163018 1.163071 1.163125 1.163178
54.3 1.163232 1.163286 1.163339 1.163393 1.163447 1.163500 1.163554 1.163607 1.163661 1.163714
54.4 1.163768 1.163821 1.163875 1.163928 1.163982 1.164035 1.164089 1.164142 1.164196 1.164249
54.5 1.164303 1.164356 1.164410 1.164463 1.164516 1.164570 1.164623 1.164677 1.164730 1.164783
54.6 1.164837 1.164890 1.164943 1.164997 1.165050 1.165103 1.165156 1.165210 1.165263 1.165316
54.7 1.165369 1.165423 1.165476 1.165529 1.165582 1.165635 1.165689 1.165742 1.165795 1.165848
54.8 1.165901 1.165954 1.166008 1.166061 1.166114 1.166167 1.166220 1.166273 1.166326 1.166379
54.9 1.166432 1.166485 1.166538 1.166591 1.166644 1.166697 1.166750 1.166803 1.166856 1.166909
Logarithm Table for base 31 — N = 55.00–55.99
N.i 0 1 2 3 4 5 6 7 8 9
55.0 1.166962 1.167015 1.167068 1.167121 1.167174 1.167227 1.167280 1.167333 1.167385 1.167438
55.1 1.167491 1.167544 1.167597 1.167650 1.167702 1.167755 1.167808 1.167861 1.167914 1.167966
55.2 1.168019 1.168072 1.168125 1.168177 1.168230 1.168283 1.168336 1.168388 1.168441 1.168494
55.3 1.168546 1.168599 1.168652 1.168704 1.168757 1.168809 1.168862 1.168915 1.168967 1.169020
55.4 1.169072 1.169125 1.169177 1.169230 1.169283 1.169335 1.169388 1.169440 1.169493 1.169545
55.5 1.169598 1.169650 1.169702 1.169755 1.169807 1.169860 1.169912 1.169965 1.170017 1.170069
55.6 1.170122 1.170174 1.170227 1.170279 1.170331 1.170384 1.170436 1.170488 1.170540 1.170593
55.7 1.170645 1.170697 1.170750 1.170802 1.170854 1.170906 1.170959 1.171011 1.171063 1.171115
55.8 1.171167 1.171220 1.171272 1.171324 1.171376 1.171428 1.171480 1.171532 1.171585 1.171637
55.9 1.171689 1.171741 1.171793 1.171845 1.171897 1.171949 1.172001 1.172053 1.172105 1.172157
Logarithm Table for base 31 — N = 56.00–56.99
N.i 0 1 2 3 4 5 6 7 8 9
56.0 1.172209 1.172261 1.172313 1.172365 1.172417 1.172469 1.172521 1.172573 1.172625 1.172677
56.1 1.172729 1.172781 1.172833 1.172885 1.172936 1.172988 1.173040 1.173092 1.173144 1.173196
56.2 1.173247 1.173299 1.173351 1.173403 1.173455 1.173506 1.173558 1.173610 1.173662 1.173713
56.3 1.173765 1.173817 1.173869 1.173920 1.173972 1.174024 1.174075 1.174127 1.174179 1.174230
56.4 1.174282 1.174334 1.174385 1.174437 1.174488 1.174540 1.174592 1.174643 1.174695 1.174746
56.5 1.174798 1.174849 1.174901 1.174952 1.175004 1.175055 1.175107 1.175158 1.175210 1.175261
56.6 1.175313 1.175364 1.175416 1.175467 1.175518 1.175570 1.175621 1.175673 1.175724 1.175775
56.7 1.175827 1.175878 1.175930 1.175981 1.176032 1.176083 1.176135 1.176186 1.176237 1.176289
56.8 1.176340 1.176391 1.176442 1.176494 1.176545 1.176596 1.176647 1.176699 1.176750 1.176801
56.9 1.176852 1.176903 1.176955 1.177006 1.177057 1.177108 1.177159 1.177210 1.177261 1.177312
Logarithm Table for base 31 — N = 57.00–57.99
N.i 0 1 2 3 4 5 6 7 8 9
57.0 1.177364 1.177415 1.177466 1.177517 1.177568 1.177619 1.177670 1.177721 1.177772 1.177823
57.1 1.177874 1.177925 1.177976 1.178027 1.178078 1.178129 1.178180 1.178231 1.178282 1.178333
57.2 1.178384 1.178434 1.178485 1.178536 1.178587 1.178638 1.178689 1.178740 1.178791 1.178841
57.3 1.178892 1.178943 1.178994 1.179045 1.179095 1.179146 1.179197 1.179248 1.179298 1.179349
57.4 1.179400 1.179451 1.179501 1.179552 1.179603 1.179653 1.179704 1.179755 1.179806 1.179856
57.5 1.179907 1.179957 1.180008 1.180059 1.180109 1.180160 1.180211 1.180261 1.180312 1.180362
57.6 1.180413 1.180463 1.180514 1.180564 1.180615 1.180666 1.180716 1.180767 1.180817 1.180867
57.7 1.180918 1.180968 1.181019 1.181069 1.181120 1.181170 1.181221 1.181271 1.181321 1.181372
57.8 1.181422 1.181473 1.181523 1.181573 1.181624 1.181674 1.181724 1.181775 1.181825 1.181875
57.9 1.181926 1.181976 1.182026 1.182076 1.182127 1.182177 1.182227 1.182277 1.182328 1.182378
Logarithm Table for base 31 — N = 58.00–58.99
N.i 0 1 2 3 4 5 6 7 8 9
58.0 1.182428 1.182478 1.182529 1.182579 1.182629 1.182679 1.182729 1.182779 1.182830 1.182880
58.1 1.182930 1.182980 1.183030 1.183080 1.183130 1.183180 1.183230 1.183280 1.183330 1.183381
58.2 1.183431 1.183481 1.183531 1.183581 1.183631 1.183681 1.183731 1.183781 1.183831 1.183881
58.3 1.183930 1.183980 1.184030 1.184080 1.184130 1.184180 1.184230 1.184280 1.184330 1.184380
58.4 1.184430 1.184479 1.184529 1.184579 1.184629 1.184679 1.184729 1.184778 1.184828 1.184878
58.5 1.184928 1.184978 1.185027 1.185077 1.185127 1.185177 1.185226 1.185276 1.185326 1.185375
58.6 1.185425 1.185475 1.185524 1.185574 1.185624 1.185673 1.185723 1.185773 1.185822 1.185872
58.7 1.185922 1.185971 1.186021 1.186070 1.186120 1.186170 1.186219 1.186269 1.186318 1.186368
58.8 1.186417 1.186467 1.186516 1.186566 1.186615 1.186665 1.186714 1.186764 1.186813 1.186863
58.9 1.186912 1.186962 1.187011 1.187060 1.187110 1.187159 1.187209 1.187258 1.187307 1.187357
Logarithm Table for base 31 — N = 59.00–59.99
N.i 0 1 2 3 4 5 6 7 8 9
59.0 1.187406 1.187455 1.187505 1.187554 1.187603 1.187653 1.187702 1.187751 1.187801 1.187850
59.1 1.187899 1.187949 1.187998 1.188047 1.188096 1.188146 1.188195 1.188244 1.188293 1.188342
59.2 1.188392 1.188441 1.188490 1.188539 1.188588 1.188637 1.188687 1.188736 1.188785 1.188834
59.3 1.188883 1.188932 1.188981 1.189030 1.189079 1.189129 1.189178 1.189227 1.189276 1.189325
59.4 1.189374 1.189423 1.189472 1.189521 1.189570 1.189619 1.189668 1.189717 1.189766 1.189815
59.5 1.189864 1.189913 1.189961 1.190010 1.190059 1.190108 1.190157 1.190206 1.190255 1.190304
59.6 1.190353 1.190401 1.190450 1.190499 1.190548 1.190597 1.190646 1.190694 1.190743 1.190792
59.7 1.190841 1.190890 1.190938 1.190987 1.191036 1.191085 1.191133 1.191182 1.191231 1.191279
59.8 1.191328 1.191377 1.191426 1.191474 1.191523 1.191572 1.191620 1.191669 1.191717 1.191766
59.9 1.191815 1.191863 1.191912 1.191961 1.192009 1.192058 1.192106 1.192155 1.192203 1.192252
Logarithm Table for base 31 — N = 60.00–60.99
N.i 0 1 2 3 4 5 6 7 8 9
60.0 1.192300 1.192349 1.192398 1.192446 1.192495 1.192543 1.192592 1.192640 1.192688 1.192737
60.1 1.192785 1.192834 1.192882 1.192931 1.192979 1.193028 1.193076 1.193124 1.193173 1.193221
60.2 1.193270 1.193318 1.193366 1.193415 1.193463 1.193511 1.193560 1.193608 1.193656 1.193705
60.3 1.193753 1.193801 1.193849 1.193898 1.193946 1.193994 1.194042 1.194091 1.194139 1.194187
60.4 1.194235 1.194284 1.194332 1.194380 1.194428 1.194476 1.194525 1.194573 1.194621 1.194669
60.5 1.194717 1.194765 1.194813 1.194862 1.194910 1.194958 1.195006 1.195054 1.195102 1.195150
60.6 1.195198 1.195246 1.195294 1.195342 1.195390 1.195438 1.195486 1.195534 1.195582 1.195630
60.7 1.195678 1.195726 1.195774 1.195822 1.195870 1.195918 1.195966 1.196014 1.196062 1.196110
60.8 1.196158 1.196205 1.196253 1.196301 1.196349 1.196397 1.196445 1.196493 1.196540 1.196588
60.9 1.196636 1.196684 1.196732 1.196780 1.196827 1.196875 1.196923 1.196971 1.197018 1.197066
Logarithm Table for base 31 — N = 61.00–61.99
N.i 0 1 2 3 4 5 6 7 8 9
61.0 1.197114 1.197162 1.197209 1.197257 1.197305 1.197353 1.197400 1.197448 1.197496 1.197543
61.1 1.197591 1.197639 1.197686 1.197734 1.197781 1.197829 1.197877 1.197924 1.197972 1.198020
61.2 1.198067 1.198115 1.198162 1.198210 1.198257 1.198305 1.198352 1.198400 1.198448 1.198495
61.3 1.198543 1.198590 1.198638 1.198685 1.198733 1.198780 1.198827 1.198875 1.198922 1.198970
61.4 1.199017 1.199065 1.199112 1.199159 1.199207 1.199254 1.199302 1.199349 1.199396 1.199444
61.5 1.199491 1.199538 1.199586 1.199633 1.199680 1.199728 1.199775 1.199822 1.199870 1.199917
61.6 1.199964 1.200012 1.200059 1.200106 1.200153 1.200201 1.200248 1.200295 1.200342 1.200389
61.7 1.200437 1.200484 1.200531 1.200578 1.200625 1.200672 1.200720 1.200767 1.200814 1.200861
61.8 1.200908 1.200955 1.201002 1.201050 1.201097 1.201144 1.201191 1.201238 1.201285 1.201332
61.9 1.201379 1.201426 1.201473 1.201520 1.201567 1.201614 1.201661 1.201708 1.201755 1.201802
Logarithm Table for base 31 — N = 62.00–62.99
N.i 0 1 2 3 4 5 6 7 8 9
62.0 1.201849 1.201896 1.201943 1.201990 1.202037 1.202084 1.202131 1.202178 1.202225 1.202271
62.1 1.202318 1.202365 1.202412 1.202459 1.202506 1.202553 1.202600 1.202646 1.202693 1.202740
62.2 1.202787 1.202834 1.202881 1.202927 1.202974 1.203021 1.203068 1.203114 1.203161 1.203208
62.3 1.203255 1.203301 1.203348 1.203395 1.203442 1.203488 1.203535 1.203582 1.203628 1.203675
62.4 1.203722 1.203768 1.203815 1.203862 1.203908 1.203955 1.204002 1.204048 1.204095 1.204142
62.5 1.204188 1.204235 1.204281 1.204328 1.204374 1.204421 1.204468 1.204514 1.204561 1.204607
62.6 1.204654 1.204700 1.204747 1.204793 1.204840 1.204886 1.204933 1.204979 1.205026 1.205072
62.7 1.205118 1.205165 1.205211 1.205258 1.205304 1.205351 1.205397 1.205443 1.205490 1.205536
62.8 1.205583 1.205629 1.205675 1.205722 1.205768 1.205814 1.205861 1.205907 1.205953 1.206000
62.9 1.206046 1.206092 1.206138 1.206185 1.206231 1.206277 1.206324 1.206370 1.206416 1.206462
Logarithm Table for base 31 — N = 63.00–63.99
N.i 0 1 2 3 4 5 6 7 8 9
63.0 1.206508 1.206555 1.206601 1.206647 1.206693 1.206740 1.206786 1.206832 1.206878 1.206924
63.1 1.206970 1.207017 1.207063 1.207109 1.207155 1.207201 1.207247 1.207293 1.207339 1.207385
63.2 1.207431 1.207478 1.207524 1.207570 1.207616 1.207662 1.207708 1.207754 1.207800 1.207846
63.3 1.207892 1.207938 1.207984 1.208030 1.208076 1.208122 1.208168 1.208214 1.208260 1.208306
63.4 1.208352 1.208398 1.208443 1.208489 1.208535 1.208581 1.208627 1.208673 1.208719 1.208765
63.5 1.208811 1.208856 1.208902 1.208948 1.208994 1.209040 1.209086 1.209131 1.209177 1.209223
63.6 1.209269 1.209315 1.209360 1.209406 1.209452 1.209498 1.209543 1.209589 1.209635 1.209681
63.7 1.209726 1.209772 1.209818 1.209863 1.209909 1.209955 1.210000 1.210046 1.210092 1.210137
63.8 1.210183 1.210229 1.210274 1.210320 1.210366 1.210411 1.210457 1.210502 1.210548 1.210594
63.9 1.210639 1.210685 1.210730 1.210776 1.210821 1.210867 1.210912 1.210958 1.211004 1.211049
Logarithm Table for base 31 — N = 64.00–64.99
N.i 0 1 2 3 4 5 6 7 8 9
64.0 1.211095 1.211140 1.211186 1.211231 1.211276 1.211322 1.211367 1.211413 1.211458 1.211504
64.1 1.211549 1.211595 1.211640 1.211685 1.211731 1.211776 1.211822 1.211867 1.211912 1.211958
64.2 1.212003 1.212048 1.212094 1.212139 1.212185 1.212230 1.212275 1.212320 1.212366 1.212411
64.3 1.212456 1.212502 1.212547 1.212592 1.212637 1.212683 1.212728 1.212773 1.212818 1.212864
64.4 1.212909 1.212954 1.212999 1.213045 1.213090 1.213135 1.213180 1.213225 1.213270 1.213316
64.5 1.213361 1.213406 1.213451 1.213496 1.213541 1.213586 1.213631 1.213677 1.213722 1.213767
64.6 1.213812 1.213857 1.213902 1.213947 1.213992 1.214037 1.214082 1.214127 1.214172 1.214217
64.7 1.214262 1.214307 1.214352 1.214397 1.214442 1.214487 1.214532 1.214577 1.214622 1.214667
64.8 1.214712 1.214757 1.214802 1.214847 1.214892 1.214937 1.214982 1.215026 1.215071 1.215116
64.9 1.215161 1.215206 1.215251 1.215296 1.215341 1.215385 1.215430 1.215475 1.215520 1.215565
Logarithm Table for base 31 — N = 65.00–65.99
N.i 0 1 2 3 4 5 6 7 8 9
65.0 1.215609 1.215654 1.215699 1.215744 1.215789 1.215833 1.215878 1.215923 1.215968 1.216012
65.1 1.216057 1.216102 1.216147 1.216191 1.216236 1.216281 1.216325 1.216370 1.216415 1.216459
65.2 1.216504 1.216549 1.216593 1.216638 1.216683 1.216727 1.216772 1.216817 1.216861 1.216906
65.3 1.216950 1.216995 1.217040 1.217084 1.217129 1.217173 1.217218 1.217262 1.217307 1.217351
65.4 1.217396 1.217441 1.217485 1.217530 1.217574 1.217619 1.217663 1.217708 1.217752 1.217796
65.5 1.217841 1.217885 1.217930 1.217974 1.218019 1.218063 1.218108 1.218152 1.218196 1.218241
65.6 1.218285 1.218330 1.218374 1.218418 1.218463 1.218507 1.218551 1.218596 1.218640 1.218684
65.7 1.218729 1.218773 1.218817 1.218862 1.218906 1.218950 1.218995 1.219039 1.219083 1.219127
65.8 1.219172 1.219216 1.219260 1.219304 1.219349 1.219393 1.219437 1.219481 1.219525 1.219570
65.9 1.219614 1.219658 1.219702 1.219746 1.219791 1.219835 1.219879 1.219923 1.219967 1.220011
Logarithm Table for base 31 — N = 66.00–66.99
N.i 0 1 2 3 4 5 6 7 8 9
66.0 1.220055 1.220100 1.220144 1.220188 1.220232 1.220276 1.220320 1.220364 1.220408 1.220452
66.1 1.220496 1.220540 1.220584 1.220628 1.220672 1.220717 1.220761 1.220805 1.220849 1.220893
66.2 1.220937 1.220981 1.221025 1.221068 1.221112 1.221156 1.221200 1.221244 1.221288 1.221332
66.3 1.221376 1.221420 1.221464 1.221508 1.221552 1.221596 1.221640 1.221683 1.221727 1.221771
66.4 1.221815 1.221859 1.221903 1.221947 1.221990 1.222034 1.222078 1.222122 1.222166 1.222209
66.5 1.222253 1.222297 1.222341 1.222385 1.222428 1.222472 1.222516 1.222560 1.222603 1.222647
66.6 1.222691 1.222735 1.222778 1.222822 1.222866 1.222909 1.222953 1.222997 1.223040 1.223084
66.7 1.223128 1.223171 1.223215 1.223259 1.223302 1.223346 1.223390 1.223433 1.223477 1.223520
66.8 1.223564 1.223608 1.223651 1.223695 1.223738 1.223782 1.223825 1.223869 1.223913 1.223956
66.9 1.224000 1.224043 1.224087 1.224130 1.224174 1.224217 1.224261 1.224304 1.224348 1.224391
Logarithm Table for base 31 — N = 67.00–67.99
N.i 0 1 2 3 4 5 6 7 8 9
67.0 1.224435 1.224478 1.224521 1.224565 1.224608 1.224652 1.224695 1.224739 1.224782 1.224825
67.1 1.224869 1.224912 1.224956 1.224999 1.225042 1.225086 1.225129 1.225173 1.225216 1.225259
67.2 1.225303 1.225346 1.225389 1.225433 1.225476 1.225519 1.225562 1.225606 1.225649 1.225692
67.3 1.225736 1.225779 1.225822 1.225865 1.225909 1.225952 1.225995 1.226038 1.226082 1.226125
67.4 1.226168 1.226211 1.226254 1.226298 1.226341 1.226384 1.226427 1.226470 1.226513 1.226557
67.5 1.226600 1.226643 1.226686 1.226729 1.226772 1.226815 1.226858 1.226902 1.226945 1.226988
67.6 1.227031 1.227074 1.227117 1.227160 1.227203 1.227246 1.227289 1.227332 1.227375 1.227418
67.7 1.227461 1.227504 1.227547 1.227590 1.227633 1.227676 1.227719 1.227762 1.227805 1.227848
67.8 1.227891 1.227934 1.227977 1.228020 1.228063 1.228106 1.228149 1.228192 1.228234 1.228277
67.9 1.228320 1.228363 1.228406 1.228449 1.228492 1.228535 1.228577 1.228620 1.228663 1.228706
Logarithm Table for base 31 — N = 68.00–68.99
N.i 0 1 2 3 4 5 6 7 8 9
68.0 1.228749 1.228792 1.228834 1.228877 1.228920 1.228963 1.229006 1.229048 1.229091 1.229134
68.1 1.229177 1.229220 1.229262 1.229305 1.229348 1.229390 1.229433 1.229476 1.229519 1.229561
68.2 1.229604 1.229647 1.229689 1.229732 1.229775 1.229817 1.229860 1.229903 1.229945 1.229988
68.3 1.230031 1.230073 1.230116 1.230159 1.230201 1.230244 1.230286 1.230329 1.230372 1.230414
68.4 1.230457 1.230499 1.230542 1.230584 1.230627 1.230670 1.230712 1.230755 1.230797 1.230840
68.5 1.230882 1.230925 1.230967 1.231010 1.231052 1.231095 1.231137 1.231180 1.231222 1.231265
68.6 1.231307 1.231349 1.231392 1.231434 1.231477 1.231519 1.231562 1.231604 1.231646 1.231689
68.7 1.231731 1.231774 1.231816 1.231858 1.231901 1.231943 1.231985 1.232028 1.232070 1.232112
68.8 1.232155 1.232197 1.232239 1.232282 1.232324 1.232366 1.232409 1.232451 1.232493 1.232535
68.9 1.232578 1.232620 1.232662 1.232705 1.232747 1.232789 1.232831 1.232873 1.232916 1.232958
Logarithm Table for base 31 — N = 69.00–69.99
N.i 0 1 2 3 4 5 6 7 8 9
69.0 1.233000 1.233042 1.233084 1.233127 1.233169 1.233211 1.233253 1.233295 1.233338 1.233380
69.1 1.233422 1.233464 1.233506 1.233548 1.233590 1.233632 1.233675 1.233717 1.233759 1.233801
69.2 1.233843 1.233885 1.233927 1.233969 1.234011 1.234053 1.234095 1.234137 1.234179 1.234221
69.3 1.234263 1.234305 1.234347 1.234389 1.234431 1.234473 1.234515 1.234557 1.234599 1.234641
69.4 1.234683 1.234725 1.234767 1.234809 1.234851 1.234893 1.234935 1.234977 1.235019 1.235061
69.5 1.235103 1.235145 1.235186 1.235228 1.235270 1.235312 1.235354 1.235396 1.235438 1.235480
69.6 1.235521 1.235563 1.235605 1.235647 1.235689 1.235730 1.235772 1.235814 1.235856 1.235898
69.7 1.235939 1.235981 1.236023 1.236065 1.236107 1.236148 1.236190 1.236232 1.236274 1.236315
69.8 1.236357 1.236399 1.236440 1.236482 1.236524 1.236565 1.236607 1.236649 1.236691 1.236732
69.9 1.236774 1.236816 1.236857 1.236899 1.236940 1.236982 1.237024 1.237065 1.237107 1.237149
Logarithm Table for base 31 — N = 70.00–70.99
N.i 0 1 2 3 4 5 6 7 8 9
70.0 1.237190 1.237232 1.237273 1.237315 1.237357 1.237398 1.237440 1.237481 1.237523 1.237564
70.1 1.237606 1.237647 1.237689 1.237730 1.237772 1.237814 1.237855 1.237897 1.237938 1.237980
70.2 1.238021 1.238062 1.238104 1.238145 1.238187 1.238228 1.238270 1.238311 1.238353 1.238394
70.3 1.238436 1.238477 1.238518 1.238560 1.238601 1.238643 1.238684 1.238725 1.238767 1.238808
70.4 1.238849 1.238891 1.238932 1.238974 1.239015 1.239056 1.239098 1.239139 1.239180 1.239222
70.5 1.239263 1.239304 1.239345 1.239387 1.239428 1.239469 1.239511 1.239552 1.239593 1.239634
70.6 1.239676 1.239717 1.239758 1.239799 1.239841 1.239882 1.239923 1.239964 1.240005 1.240047
70.7 1.240088 1.240129 1.240170 1.240211 1.240252 1.240294 1.240335 1.240376 1.240417 1.240458
70.8 1.240499 1.240541 1.240582 1.240623 1.240664 1.240705 1.240746 1.240787 1.240828 1.240869
70.9 1.240910 1.240951 1.240993 1.241034 1.241075 1.241116 1.241157 1.241198 1.241239 1.241280
Logarithm Table for base 31 — N = 71.00–71.99
N.i 0 1 2 3 4 5 6 7 8 9
71.0 1.241321 1.241362 1.241403 1.241444 1.241485 1.241526 1.241567 1.241608 1.241649 1.241690
71.1 1.241731 1.241772 1.241813 1.241854 1.241894 1.241935 1.241976 1.242017 1.242058 1.242099
71.2 1.242140 1.242181 1.242222 1.242263 1.242304 1.242344 1.242385 1.242426 1.242467 1.242508
71.3 1.242549 1.242590 1.242630 1.242671 1.242712 1.242753 1.242794 1.242834 1.242875 1.242916
71.4 1.242957 1.242998 1.243038 1.243079 1.243120 1.243161 1.243201 1.243242 1.243283 1.243324
71.5 1.243364 1.243405 1.243446 1.243487 1.243527 1.243568 1.243609 1.243649 1.243690 1.243731
71.6 1.243771 1.243812 1.243853 1.243893 1.243934 1.243975 1.244015 1.244056 1.244097 1.244137
71.7 1.244178 1.244218 1.244259 1.244300 1.244340 1.244381 1.244421 1.244462 1.244503 1.244543
71.8 1.244584 1.244624 1.244665 1.244705 1.244746 1.244786 1.244827 1.244867 1.244908 1.244948
71.9 1.244989 1.245029 1.245070 1.245110 1.245151 1.245191 1.245232 1.245272 1.245313 1.245353
Logarithm Table for base 31 — N = 72.00–72.99
N.i 0 1 2 3 4 5 6 7 8 9
72.0 1.245394 1.245434 1.245475 1.245515 1.245555 1.245596 1.245636 1.245677 1.245717 1.245758
72.1 1.245798 1.245838 1.245879 1.245919 1.245959 1.246000 1.246040 1.246080 1.246121 1.246161
72.2 1.246202 1.246242 1.246282 1.246322 1.246363 1.246403 1.246443 1.246484 1.246524 1.246564
72.3 1.246605 1.246645 1.246685 1.246725 1.246766 1.246806 1.246846 1.246886 1.246927 1.246967
72.4 1.247007 1.247047 1.247087 1.247128 1.247168 1.247208 1.247248 1.247288 1.247329 1.247369
72.5 1.247409 1.247449 1.247489 1.247529 1.247570 1.247610 1.247650 1.247690 1.247730 1.247770
72.6 1.247810 1.247851 1.247891 1.247931 1.247971 1.248011 1.248051 1.248091 1.248131 1.248171
72.7 1.248211 1.248251 1.248291 1.248331 1.248371 1.248411 1.248451 1.248491 1.248531 1.248572
72.8 1.248612 1.248652 1.248692 1.248731 1.248771 1.248811 1.248851 1.248891 1.248931 1.248971
72.9 1.249011 1.249051 1.249091 1.249131 1.249171 1.249211 1.249251 1.249291 1.249331 1.249371
Logarithm Table for base 31 — N = 73.00–73.99
N.i 0 1 2 3 4 5 6 7 8 9
73.0 1.249410 1.249450 1.249490 1.249530 1.249570 1.249610 1.249650 1.249690 1.249729 1.249769
73.1 1.249809 1.249849 1.249889 1.249929 1.249968 1.250008 1.250048 1.250088 1.250128 1.250167
73.2 1.250207 1.250247 1.250287 1.250326 1.250366 1.250406 1.250446 1.250486 1.250525 1.250565
73.3 1.250605 1.250644 1.250684 1.250724 1.250764 1.250803 1.250843 1.250883 1.250922 1.250962
73.4 1.251002 1.251041 1.251081 1.251121 1.251160 1.251200 1.251240 1.251279 1.251319 1.251359
73.5 1.251398 1.251438 1.251477 1.251517 1.251557 1.251596 1.251636 1.251675 1.251715 1.251755
73.6 1.251794 1.251834 1.251873 1.251913 1.251952 1.251992 1.252031 1.252071 1.252110 1.252150
73.7 1.252190 1.252229 1.252269 1.252308 1.252348 1.252387 1.252427 1.252466 1.252505 1.252545
73.8 1.252584 1.252624 1.252663 1.252703 1.252742 1.252782 1.252821 1.252860 1.252900 1.252939
73.9 1.252979 1.253018 1.253058 1.253097 1.253136 1.253176 1.253215 1.253254 1.253294 1.253333
Logarithm Table for base 31 — N = 74.00–74.99
N.i 0 1 2 3 4 5 6 7 8 9
74.0 1.253372 1.253412 1.253451 1.253491 1.253530 1.253569 1.253609 1.253648 1.253687 1.253726
74.1 1.253766 1.253805 1.253844 1.253884 1.253923 1.253962 1.254001 1.254041 1.254080 1.254119
74.2 1.254158 1.254198 1.254237 1.254276 1.254315 1.254355 1.254394 1.254433 1.254472 1.254511
74.3 1.254551 1.254590 1.254629 1.254668 1.254707 1.254747 1.254786 1.254825 1.254864 1.254903
74.4 1.254942 1.254981 1.255021 1.255060 1.255099 1.255138 1.255177 1.255216 1.255255 1.255294
74.5 1.255333 1.255373 1.255412 1.255451 1.255490 1.255529 1.255568 1.255607 1.255646 1.255685
74.6 1.255724 1.255763 1.255802 1.255841 1.255880 1.255919 1.255958 1.255997 1.256036 1.256075
74.7 1.256114 1.256153 1.256192 1.256231 1.256270 1.256309 1.256348 1.256387 1.256426 1.256465
74.8 1.256504 1.256543 1.256582 1.256621 1.256659 1.256698 1.256737 1.256776 1.256815 1.256854
74.9 1.256893 1.256932 1.256971 1.257009 1.257048 1.257087 1.257126 1.257165 1.257204 1.257243
Logarithm Table for base 31 — N = 75.00–75.99
N.i 0 1 2 3 4 5 6 7 8 9
75.0 1.257281 1.257320 1.257359 1.257398 1.257437 1.257475 1.257514 1.257553 1.257592 1.257631
75.1 1.257669 1.257708 1.257747 1.257786 1.257824 1.257863 1.257902 1.257941 1.257979 1.258018
75.2 1.258057 1.258096 1.258134 1.258173 1.258212 1.258250 1.258289 1.258328 1.258367 1.258405
75.3 1.258444 1.258483 1.258521 1.258560 1.258599 1.258637 1.258676 1.258714 1.258753 1.258792
75.4 1.258830 1.258869 1.258908 1.258946 1.258985 1.259023 1.259062 1.259101 1.259139 1.259178
75.5 1.259216 1.259255 1.259293 1.259332 1.259371 1.259409 1.259448 1.259486 1.259525 1.259563
75.6 1.259602 1.259640 1.259679 1.259717 1.259756 1.259794 1.259833 1.259871 1.259910 1.259948
75.7 1.259987 1.260025 1.260064 1.260102 1.260141 1.260179 1.260217 1.260256 1.260294 1.260333
75.8 1.260371 1.260410 1.260448 1.260486 1.260525 1.260563 1.260602 1.260640 1.260678 1.260717
75.9 1.260755 1.260793 1.260832 1.260870 1.260908 1.260947 1.260985 1.261023 1.261062 1.261100
Logarithm Table for base 31 — N = 76.00–76.99
N.i 0 1 2 3 4 5 6 7 8 9
76.0 1.261138 1.261177 1.261215 1.261253 1.261292 1.261330 1.261368 1.261407 1.261445 1.261483
76.1 1.261521 1.261560 1.261598 1.261636 1.261674 1.261713 1.261751 1.261789 1.261827 1.261866
76.2 1.261904 1.261942 1.261980 1.262018 1.262057 1.262095 1.262133 1.262171 1.262209 1.262248
76.3 1.262286 1.262324 1.262362 1.262400 1.262438 1.262476 1.262515 1.262553 1.262591 1.262629
76.4 1.262667 1.262705 1.262743 1.262781 1.262820 1.262858 1.262896 1.262934 1.262972 1.263010
76.5 1.263048 1.263086 1.263124 1.263162 1.263200 1.263238 1.263276 1.263314 1.263352 1.263390
76.6 1.263428 1.263466 1.263504 1.263542 1.263580 1.263618 1.263656 1.263694 1.263732 1.263770
76.7 1.263808 1.263846 1.263884 1.263922 1.263960 1.263998 1.264036 1.264074 1.264112 1.264150
76.8 1.264188 1.264226 1.264264 1.264302 1.264339 1.264377 1.264415 1.264453 1.264491 1.264529
76.9 1.264567 1.264605 1.264642 1.264680 1.264718 1.264756 1.264794 1.264832 1.264869 1.264907
Logarithm Table for base 31 — N = 77.00–77.99
N.i 0 1 2 3 4 5 6 7 8 9
77.0 1.264945 1.264983 1.265021 1.265059 1.265096 1.265134 1.265172 1.265210 1.265248 1.265285
77.1 1.265323 1.265361 1.265399 1.265436 1.265474 1.265512 1.265550 1.265587 1.265625 1.265663
77.2 1.265701 1.265738 1.265776 1.265814 1.265851 1.265889 1.265927 1.265964 1.266002 1.266040
77.3 1.266078 1.266115 1.266153 1.266191 1.266228 1.266266 1.266303 1.266341 1.266379 1.266416
77.4 1.266454 1.266492 1.266529 1.266567 1.266604 1.266642 1.266680 1.266717 1.266755 1.266792
77.5 1.266830 1.266868 1.266905 1.266943 1.266980 1.267018 1.267055 1.267093 1.267130 1.267168
77.6 1.267205 1.267243 1.267281 1.267318 1.267356 1.267393 1.267431 1.267468 1.267506 1.267543
77.7 1.267581 1.267618 1.267655 1.267693 1.267730 1.267768 1.267805 1.267843 1.267880 1.267918
77.8 1.267955 1.267992 1.268030 1.268067 1.268105 1.268142 1.268180 1.268217 1.268254 1.268292
77.9 1.268329 1.268366 1.268404 1.268441 1.268479 1.268516 1.268553 1.268591 1.268628 1.268665
Logarithm Table for base 31 — N = 78.00–78.99
N.i 0 1 2 3 4 5 6 7 8 9
78.0 1.268703 1.268740 1.268777 1.268815 1.268852 1.268889 1.268927 1.268964 1.269001 1.269039
78.1 1.269076 1.269113 1.269150 1.269188 1.269225 1.269262 1.269299 1.269337 1.269374 1.269411
78.2 1.269448 1.269486 1.269523 1.269560 1.269597 1.269635 1.269672 1.269709 1.269746 1.269783
78.3 1.269821 1.269858 1.269895 1.269932 1.269969 1.270006 1.270044 1.270081 1.270118 1.270155
78.4 1.270192 1.270229 1.270267 1.270304 1.270341 1.270378 1.270415 1.270452 1.270489 1.270526
78.5 1.270563 1.270601 1.270638 1.270675 1.270712 1.270749 1.270786 1.270823 1.270860 1.270897
78.6 1.270934 1.270971 1.271008 1.271045 1.271082 1.271119 1.271156 1.271193 1.271230 1.271267
78.7 1.271304 1.271341 1.271378 1.271415 1.271452 1.271489 1.271526 1.271563 1.271600 1.271637
78.8 1.271674 1.271711 1.271748 1.271785 1.271822 1.271859 1.271896 1.271933 1.271970 1.272007
78.9 1.272044 1.272080 1.272117 1.272154 1.272191 1.272228 1.272265 1.272302 1.272339 1.272376
Logarithm Table for base 31 — N = 79.00–79.99
N.i 0 1 2 3 4 5 6 7 8 9
79.0 1.272412 1.272449 1.272486 1.272523 1.272560 1.272597 1.272633 1.272670 1.272707 1.272744
79.1 1.272781 1.272818 1.272854 1.272891 1.272928 1.272965 1.273002 1.273038 1.273075 1.273112
79.2 1.273149 1.273185 1.273222 1.273259 1.273296 1.273332 1.273369 1.273406 1.273443 1.273479
79.3 1.273516 1.273553 1.273590 1.273626 1.273663 1.273700 1.273736 1.273773 1.273810 1.273846
79.4 1.273883 1.273920 1.273956 1.273993 1.274030 1.274066 1.274103 1.274140 1.274176 1.274213
79.5 1.274250 1.274286 1.274323 1.274360 1.274396 1.274433 1.274469 1.274506 1.274543 1.274579
79.6 1.274616 1.274652 1.274689 1.274725 1.274762 1.274799 1.274835 1.274872 1.274908 1.274945
79.7 1.274981 1.275018 1.275054 1.275091 1.275127 1.275164 1.275200 1.275237 1.275273 1.275310
79.8 1.275346 1.275383 1.275419 1.275456 1.275492 1.275529 1.275565 1.275602 1.275638 1.275675
79.9 1.275711 1.275748 1.275784 1.275820 1.275857 1.275893 1.275930 1.275966 1.276003 1.276039
Logarithm Table for base 31 — N = 80.00–80.99
N.i 0 1 2 3 4 5 6 7 8 9
80.0 1.276075 1.276112 1.276148 1.276185 1.276221 1.276257 1.276294 1.276330 1.276366 1.276403
80.1 1.276439 1.276476 1.276512 1.276548 1.276585 1.276621 1.276657 1.276694 1.276730 1.276766
80.2 1.276803 1.276839 1.276875 1.276911 1.276948 1.276984 1.277020 1.277057 1.277093 1.277129
80.3 1.277165 1.277202 1.277238 1.277274 1.277310 1.277347 1.277383 1.277419 1.277455 1.277492
80.4 1.277528 1.277564 1.277600 1.277636 1.277673 1.277709 1.277745 1.277781 1.277817 1.277854
80.5 1.277890 1.277926 1.277962 1.277998 1.278034 1.278071 1.278107 1.278143 1.278179 1.278215
80.6 1.278251 1.278287 1.278324 1.278360 1.278396 1.278432 1.278468 1.278504 1.278540 1.278576
80.7 1.278612 1.278648 1.278685 1.278721 1.278757 1.278793 1.278829 1.278865 1.278901 1.278937
80.8 1.278973 1.279009 1.279045 1.279081 1.279117 1.279153 1.279189 1.279225 1.279261 1.279297
80.9 1.279333 1.279369 1.279405 1.279441 1.279477 1.279513 1.279549 1.279585 1.279621 1.279657
Logarithm Table for base 31 — N = 81.00–81.99
N.i 0 1 2 3 4 5 6 7 8 9
81.0 1.279693 1.279729 1.279765 1.279801 1.279837 1.279873 1.279909 1.279944 1.279980 1.280016
81.1 1.280052 1.280088 1.280124 1.280160 1.280196 1.280232 1.280268 1.280303 1.280339 1.280375
81.2 1.280411 1.280447 1.280483 1.280519 1.280554 1.280590 1.280626 1.280662 1.280698 1.280734
81.3 1.280769 1.280805 1.280841 1.280877 1.280913 1.280949 1.280984 1.281020 1.281056 1.281092
81.4 1.281127 1.281163 1.281199 1.281235 1.281271 1.281306 1.281342 1.281378 1.281414 1.281449
81.5 1.281485 1.281521 1.281556 1.281592 1.281628 1.281664 1.281699 1.281735 1.281771 1.281806
81.6 1.281842 1.281878 1.281913 1.281949 1.281985 1.282020 1.282056 1.282092 1.282127 1.282163
81.7 1.282199 1.282234 1.282270 1.282306 1.282341 1.282377 1.282413 1.282448 1.282484 1.282519
81.8 1.282555 1.282591 1.282626 1.282662 1.282697 1.282733 1.282768 1.282804 1.282840 1.282875
81.9 1.282911 1.282946 1.282982 1.283017 1.283053 1.283088 1.283124 1.283160 1.283195 1.283231
Logarithm Table for base 31 — N = 82.00–82.99
N.i 0 1 2 3 4 5 6 7 8 9
82.0 1.283266 1.283302 1.283337 1.283373 1.283408 1.283444 1.283479 1.283515 1.283550 1.283586
82.1 1.283621 1.283656 1.283692 1.283727 1.283763 1.283798 1.283834 1.283869 1.283905 1.283940
82.2 1.283975 1.284011 1.284046 1.284082 1.284117 1.284153 1.284188 1.284223 1.284259 1.284294
82.3 1.284330 1.284365 1.284400 1.284436 1.284471 1.284506 1.284542 1.284577 1.284612 1.284648
82.4 1.284683 1.284718 1.284754 1.284789 1.284824 1.284860 1.284895 1.284930 1.284966 1.285001
82.5 1.285036 1.285072 1.285107 1.285142 1.285177 1.285213 1.285248 1.285283 1.285319 1.285354
82.6 1.285389 1.285424 1.285460 1.285495 1.285530 1.285565 1.285601 1.285636 1.285671 1.285706
82.7 1.285741 1.285777 1.285812 1.285847 1.285882 1.285917 1.285953 1.285988 1.286023 1.286058
82.8 1.286093 1.286129 1.286164 1.286199 1.286234 1.286269 1.286304 1.286339 1.286375 1.286410
82.9 1.286445 1.286480 1.286515 1.286550 1.286585 1.286620 1.286656 1.286691 1.286726 1.286761
Logarithm Table for base 31 — N = 83.00–83.99
N.i 0 1 2 3 4 5 6 7 8 9
83.0 1.286796 1.286831 1.286866 1.286901 1.286936 1.286971 1.287006 1.287041 1.287076 1.287111
83.1 1.287147 1.287182 1.287217 1.287252 1.287287 1.287322 1.287357 1.287392 1.287427 1.287462
83.2 1.287497 1.287532 1.287567 1.287602 1.287637 1.287672 1.287707 1.287742 1.287777 1.287812
83.3 1.287847 1.287881 1.287916 1.287951 1.287986 1.288021 1.288056 1.288091 1.288126 1.288161
83.4 1.288196 1.288231 1.288266 1.288301 1.288336 1.288370 1.288405 1.288440 1.288475 1.288510
83.5 1.288545 1.288580 1.288615 1.288649 1.288684 1.288719 1.288754 1.288789 1.288824 1.288859
83.6 1.288893 1.288928 1.288963 1.288998 1.289033 1.289068 1.289102 1.289137 1.289172 1.289207
83.7 1.289242 1.289276 1.289311 1.289346 1.289381 1.289415 1.289450 1.289485 1.289520 1.289555
83.8 1.289589 1.289624 1.289659 1.289693 1.289728 1.289763 1.289798 1.289832 1.289867 1.289902
83.9 1.289937 1.289971 1.290006 1.290041 1.290075 1.290110 1.290145 1.290179 1.290214 1.290249
Logarithm Table for base 31 — N = 84.00–84.99
N.i 0 1 2 3 4 5 6 7 8 9
84.0 1.290283 1.290318 1.290353 1.290387 1.290422 1.290457 1.290491 1.290526 1.290561 1.290595
84.1 1.290630 1.290665 1.290699 1.290734 1.290768 1.290803 1.290838 1.290872 1.290907 1.290941
84.2 1.290976 1.291011 1.291045 1.291080 1.291114 1.291149 1.291183 1.291218 1.291253 1.291287
84.3 1.291322 1.291356 1.291391 1.291425 1.291460 1.291494 1.291529 1.291563 1.291598 1.291632
84.4 1.291667 1.291701 1.291736 1.291770 1.291805 1.291839 1.291874 1.291908 1.291943 1.291977
84.5 1.292012 1.292046 1.292081 1.292115 1.292149 1.292184 1.292218 1.292253 1.292287 1.292322
84.6 1.292356 1.292391 1.292425 1.292459 1.292494 1.292528 1.292563 1.292597 1.292631 1.292666
84.7 1.292700 1.292734 1.292769 1.292803 1.292838 1.292872 1.292906 1.292941 1.292975 1.293009
84.8 1.293044 1.293078 1.293112 1.293147 1.293181 1.293215 1.293250 1.293284 1.293318 1.293353
84.9 1.293387 1.293421 1.293456 1.293490 1.293524 1.293558 1.293593 1.293627 1.293661 1.293695
Logarithm Table for base 31 — N = 85.00–85.99
N.i 0 1 2 3 4 5 6 7 8 9
85.0 1.293730 1.293764 1.293798 1.293832 1.293867 1.293901 1.293935 1.293969 1.294004 1.294038
85.1 1.294072 1.294106 1.294141 1.294175 1.294209 1.294243 1.294277 1.294312 1.294346 1.294380
85.2 1.294414 1.294448 1.294482 1.294517 1.294551 1.294585 1.294619 1.294653 1.294687 1.294722
85.3 1.294756 1.294790 1.294824 1.294858 1.294892 1.294926 1.294960 1.294995 1.295029 1.295063
85.4 1.295097 1.295131 1.295165 1.295199 1.295233 1.295267 1.295301 1.295335 1.295370 1.295404
85.5 1.295438 1.295472 1.295506 1.295540 1.295574 1.295608 1.295642 1.295676 1.295710 1.295744
85.6 1.295778 1.295812 1.295846 1.295880 1.295914 1.295948 1.295982 1.296016 1.296050 1.296084
85.7 1.296118 1.296152 1.296186 1.296220 1.296254 1.296288 1.296322 1.296356 1.296390 1.296424
85.8 1.296458 1.296492 1.296526 1.296559 1.296593 1.296627 1.296661 1.296695 1.296729 1.296763
85.9 1.296797 1.296831 1.296865 1.296899 1.296932 1.296966 1.297000 1.297034 1.297068 1.297102
Logarithm Table for base 31 — N = 86.00–86.99
N.i 0 1 2 3 4 5 6 7 8 9
86.0 1.297136 1.297170 1.297203 1.297237 1.297271 1.297305 1.297339 1.297373 1.297406 1.297440
86.1 1.297474 1.297508 1.297542 1.297576 1.297609 1.297643 1.297677 1.297711 1.297745 1.297778
86.2 1.297812 1.297846 1.297880 1.297913 1.297947 1.297981 1.298015 1.298048 1.298082 1.298116
86.3 1.298150 1.298183 1.298217 1.298251 1.298285 1.298318 1.298352 1.298386 1.298420 1.298453
86.4 1.298487 1.298521 1.298554 1.298588 1.298622 1.298655 1.298689 1.298723 1.298756 1.298790
86.5 1.298824 1.298857 1.298891 1.298925 1.298958 1.298992 1.299026 1.299059 1.299093 1.299127
86.6 1.299160 1.299194 1.299228 1.299261 1.299295 1.299328 1.299362 1.299396 1.299429 1.299463
86.7 1.299496 1.299530 1.299564 1.299597 1.299631 1.299664 1.299698 1.299731 1.299765 1.299798
86.8 1.299832 1.299866 1.299899 1.299933 1.299966 1.300000 1.300033 1.300067 1.300100 1.300134
86.9 1.300167 1.300201 1.300234 1.300268 1.300301 1.300335 1.300368 1.300402 1.300435 1.300469
Logarithm Table for base 31 — N = 87.00–87.99
N.i 0 1 2 3 4 5 6 7 8 9
87.0 1.300502 1.300536 1.300569 1.300603 1.300636 1.300670 1.300703 1.300736 1.300770 1.300803
87.1 1.300837 1.300870 1.300904 1.300937 1.300970 1.301004 1.301037 1.301071 1.301104 1.301138
87.2 1.301171 1.301204 1.301238 1.301271 1.301304 1.301338 1.301371 1.301405 1.301438 1.301471
87.3 1.301505 1.301538 1.301571 1.301605 1.301638 1.301671 1.301705 1.301738 1.301771 1.301805
87.4 1.301838 1.301871 1.301905 1.301938 1.301971 1.302005 1.302038 1.302071 1.302105 1.302138
87.5 1.302171 1.302204 1.302238 1.302271 1.302304 1.302337 1.302371 1.302404 1.302437 1.302470
87.6 1.302504 1.302537 1.302570 1.302603 1.302637 1.302670 1.302703 1.302736 1.302770 1.302803
87.7 1.302836 1.302869 1.302902 1.302936 1.302969 1.303002 1.303035 1.303068 1.303101 1.303135
87.8 1.303168 1.303201 1.303234 1.303267 1.303300 1.303334 1.303367 1.303400 1.303433 1.303466
87.9 1.303499 1.303532 1.303566 1.303599 1.303632 1.303665 1.303698 1.303731 1.303764 1.303797
Logarithm Table for base 31 — N = 88.00–88.99
N.i 0 1 2 3 4 5 6 7 8 9
88.0 1.303830 1.303863 1.303897 1.303930 1.303963 1.303996 1.304029 1.304062 1.304095 1.304128
88.1 1.304161 1.304194 1.304227 1.304260 1.304293 1.304326 1.304359 1.304392 1.304425 1.304458
88.2 1.304491 1.304524 1.304557 1.304590 1.304623 1.304656 1.304689 1.304722 1.304755 1.304788
88.3 1.304821 1.304854 1.304887 1.304920 1.304953 1.304986 1.305019 1.305052 1.305085 1.305118
88.4 1.305151 1.305184 1.305217 1.305250 1.305283 1.305316 1.305349 1.305382 1.305414 1.305447
88.5 1.305480 1.305513 1.305546 1.305579 1.305612 1.305645 1.305678 1.305711 1.305743 1.305776
88.6 1.305809 1.305842 1.305875 1.305908 1.305941 1.305973 1.306006 1.306039 1.306072 1.306105
88.7 1.306138 1.306170 1.306203 1.306236 1.306269 1.306302 1.306335 1.306367 1.306400 1.306433
88.8 1.306466 1.306499 1.306531 1.306564 1.306597 1.306630 1.306662 1.306695 1.306728 1.306761
88.9 1.306793 1.306826 1.306859 1.306892 1.306924 1.306957 1.306990 1.307023 1.307055 1.307088
Logarithm Table for base 31 — N = 89.00–89.99
N.i 0 1 2 3 4 5 6 7 8 9
89.0 1.307121 1.307154 1.307186 1.307219 1.307252 1.307284 1.307317 1.307350 1.307383 1.307415
89.1 1.307448 1.307481 1.307513 1.307546 1.307579 1.307611 1.307644 1.307677 1.307709 1.307742
89.2 1.307775 1.307807 1.307840 1.307872 1.307905 1.307938 1.307970 1.308003 1.308036 1.308068
89.3 1.308101 1.308133 1.308166 1.308199 1.308231 1.308264 1.308296 1.308329 1.308362 1.308394
89.4 1.308427 1.308459 1.308492 1.308524 1.308557 1.308590 1.308622 1.308655 1.308687 1.308720
89.5 1.308752 1.308785 1.308817 1.308850 1.308882 1.308915 1.308947 1.308980 1.309012 1.309045
89.6 1.309077 1.309110 1.309142 1.309175 1.309207 1.309240 1.309272 1.309305 1.309337 1.309370
89.7 1.309402 1.309435 1.309467 1.309500 1.309532 1.309565 1.309597 1.309629 1.309662 1.309694
89.8 1.309727 1.309759 1.309792 1.309824 1.309856 1.309889 1.309921 1.309954 1.309986 1.310018
89.9 1.310051 1.310083 1.310116 1.310148 1.310180 1.310213 1.310245 1.310278 1.310310 1.310342
Logarithm Table for base 31 — N = 90.00–90.99
N.i 0 1 2 3 4 5 6 7 8 9
90.0 1.310375 1.310407 1.310439 1.310472 1.310504 1.310536 1.310569 1.310601 1.310633 1.310666
90.1 1.310698 1.310730 1.310763 1.310795 1.310827 1.310860 1.310892 1.310924 1.310956 1.310989
90.2 1.311021 1.311053 1.311086 1.311118 1.311150 1.311182 1.311215 1.311247 1.311279 1.311311
90.3 1.311344 1.311376 1.311408 1.311440 1.311473 1.311505 1.311537 1.311569 1.311602 1.311634
90.4 1.311666 1.311698 1.311730 1.311763 1.311795 1.311827 1.311859 1.311891 1.311924 1.311956
90.5 1.311988 1.312020 1.312052 1.312084 1.312117 1.312149 1.312181 1.312213 1.312245 1.312277
90.6 1.312310 1.312342 1.312374 1.312406 1.312438 1.312470 1.312502 1.312534 1.312567 1.312599
90.7 1.312631 1.312663 1.312695 1.312727 1.312759 1.312791 1.312823 1.312855 1.312888 1.312920
90.8 1.312952 1.312984 1.313016 1.313048 1.313080 1.313112 1.313144 1.313176 1.313208 1.313240
90.9 1.313272 1.313304 1.313336 1.313368 1.313400 1.313432 1.313464 1.313496 1.313528 1.313560
Logarithm Table for base 31 — N = 91.00–91.99
N.i 0 1 2 3 4 5 6 7 8 9
91.0 1.313592 1.313624 1.313656 1.313688 1.313720 1.313752 1.313784 1.313816 1.313848 1.313880
91.1 1.313912 1.313944 1.313976 1.314008 1.314040 1.314072 1.314104 1.314136 1.314168 1.314200
91.2 1.314232 1.314264 1.314296 1.314327 1.314359 1.314391 1.314423 1.314455 1.314487 1.314519
91.3 1.314551 1.314583 1.314615 1.314647 1.314678 1.314710 1.314742 1.314774 1.314806 1.314838
91.4 1.314870 1.314901 1.314933 1.314965 1.314997 1.315029 1.315061 1.315093 1.315124 1.315156
91.5 1.315188 1.315220 1.315252 1.315284 1.315315 1.315347 1.315379 1.315411 1.315443 1.315474
91.6 1.315506 1.315538 1.315570 1.315602 1.315633 1.315665 1.315697 1.315729 1.315760 1.315792
91.7 1.315824 1.315856 1.315887 1.315919 1.315951 1.315983 1.316014 1.316046 1.316078 1.316110
91.8 1.316141 1.316173 1.316205 1.316236 1.316268 1.316300 1.316332 1.316363 1.316395 1.316427
91.9 1.316458 1.316490 1.316522 1.316553 1.316585 1.316617 1.316648 1.316680 1.316712 1.316743
Logarithm Table for base 31 — N = 92.00–92.99
N.i 0 1 2 3 4 5 6 7 8 9
92.0 1.316775 1.316807 1.316838 1.316870 1.316902 1.316933 1.316965 1.316997 1.317028 1.317060
92.1 1.317091 1.317123 1.317155 1.317186 1.317218 1.317249 1.317281 1.317313 1.317344 1.317376
92.2 1.317407 1.317439 1.317471 1.317502 1.317534 1.317565 1.317597 1.317628 1.317660 1.317692
92.3 1.317723 1.317755 1.317786 1.317818 1.317849 1.317881 1.317912 1.317944 1.317975 1.318007
92.4 1.318038 1.318070 1.318101 1.318133 1.318164 1.318196 1.318227 1.318259 1.318290 1.318322
92.5 1.318353 1.318385 1.318416 1.318448 1.318479 1.318511 1.318542 1.318574 1.318605 1.318637
92.6 1.318668 1.318699 1.318731 1.318762 1.318794 1.318825 1.318857 1.318888 1.318920 1.318951
92.7 1.318982 1.319014 1.319045 1.319077 1.319108 1.319139 1.319171 1.319202 1.319234 1.319265
92.8 1.319296 1.319328 1.319359 1.319390 1.319422 1.319453 1.319485 1.319516 1.319547 1.319579
92.9 1.319610 1.319641 1.319673 1.319704 1.319735 1.319767 1.319798 1.319829 1.319861 1.319892
Logarithm Table for base 31 — N = 93.00–93.99
N.i 0 1 2 3 4 5 6 7 8 9
93.0 1.319923 1.319955 1.319986 1.320017 1.320048 1.320080 1.320111 1.320142 1.320174 1.320205
93.1 1.320236 1.320267 1.320299 1.320330 1.320361 1.320393 1.320424 1.320455 1.320486 1.320518
93.2 1.320549 1.320580 1.320611 1.320643 1.320674 1.320705 1.320736 1.320767 1.320799 1.320830
93.3 1.320861 1.320892 1.320924 1.320955 1.320986 1.321017 1.321048 1.321079 1.321111 1.321142
93.4 1.321173 1.321204 1.321235 1.321267 1.321298 1.321329 1.321360 1.321391 1.321422 1.321454
93.5 1.321485 1.321516 1.321547 1.321578 1.321609 1.321640 1.321671 1.321703 1.321734 1.321765
93.6 1.321796 1.321827 1.321858 1.321889 1.321920 1.321951 1.321983 1.322014 1.322045 1.322076
93.7 1.322107 1.322138 1.322169 1.322200 1.322231 1.322262 1.322293 1.322324 1.322355 1.322386
93.8 1.322418 1.322449 1.322480 1.322511 1.322542 1.322573 1.322604 1.322635 1.322666 1.322697
93.9 1.322728 1.322759 1.322790 1.322821 1.322852 1.322883 1.322914 1.322945 1.322976 1.323007
Logarithm Table for base 31 — N = 94.00–94.99
N.i 0 1 2 3 4 5 6 7 8 9
94.0 1.323038 1.323069 1.323100 1.323131 1.323162 1.323193 1.323224 1.323255 1.323286 1.323316
94.1 1.323347 1.323378 1.323409 1.323440 1.323471 1.323502 1.323533 1.323564 1.323595 1.323626
94.2 1.323657 1.323688 1.323719 1.323749 1.323780 1.323811 1.323842 1.323873 1.323904 1.323935
94.3 1.323966 1.323997 1.324027 1.324058 1.324089 1.324120 1.324151 1.324182 1.324213 1.324243
94.4 1.324274 1.324305 1.324336 1.324367 1.324398 1.324429 1.324459 1.324490 1.324521 1.324552
94.5 1.324583 1.324613 1.324644 1.324675 1.324706 1.324737 1.324767 1.324798 1.324829 1.324860
94.6 1.324891 1.324921 1.324952 1.324983 1.325014 1.325045 1.325075 1.325106 1.325137 1.325168
94.7 1.325198 1.325229 1.325260 1.325291 1.325321 1.325352 1.325383 1.325413 1.325444 1.325475
94.8 1.325506 1.325536 1.325567 1.325598 1.325628 1.325659 1.325690 1.325721 1.325751 1.325782
94.9 1.325813 1.325843 1.325874 1.325905 1.325935 1.325966 1.325997 1.326027 1.326058 1.326089
Logarithm Table for base 31 — N = 95.00–95.99
N.i 0 1 2 3 4 5 6 7 8 9
95.0 1.326119 1.326150 1.326181 1.326211 1.326242 1.326273 1.326303 1.326334 1.326364 1.326395
95.1 1.326426 1.326456 1.326487 1.326518 1.326548 1.326579 1.326609 1.326640 1.326671 1.326701
95.2 1.326732 1.326762 1.326793 1.326824 1.326854 1.326885 1.326915 1.326946 1.326976 1.327007
95.3 1.327038 1.327068 1.327099 1.327129 1.327160 1.327190 1.327221 1.327251 1.327282 1.327312
95.4 1.327343 1.327373 1.327404 1.327434 1.327465 1.327495 1.327526 1.327557 1.327587 1.327618
95.5 1.327648 1.327678 1.327709 1.327739 1.327770 1.327800 1.327831 1.327861 1.327892 1.327922
95.6 1.327953 1.327983 1.328014 1.328044 1.328075 1.328105 1.328135 1.328166 1.328196 1.328227
95.7 1.328257 1.328288 1.328318 1.328348 1.328379 1.328409 1.328440 1.328470 1.328501 1.328531
95.8 1.328561 1.328592 1.328622 1.328653 1.328683 1.328713 1.328744 1.328774 1.328804 1.328835
95.9 1.328865 1.328896 1.328926 1.328956 1.328987 1.329017 1.329047 1.329078 1.329108 1.329138
Logarithm Table for base 31 — N = 96.00–96.99
N.i 0 1 2 3 4 5 6 7 8 9
96.0 1.329169 1.329199 1.329229 1.329260 1.329290 1.329320 1.329351 1.329381 1.329411 1.329442
96.1 1.329472 1.329502 1.329532 1.329563 1.329593 1.329623 1.329654 1.329684 1.329714 1.329744
96.2 1.329775 1.329805 1.329835 1.329866 1.329896 1.329926 1.329956 1.329987 1.330017 1.330047
96.3 1.330077 1.330108 1.330138 1.330168 1.330198 1.330228 1.330259 1.330289 1.330319 1.330349
96.4 1.330380 1.330410 1.330440 1.330470 1.330500 1.330531 1.330561 1.330591 1.330621 1.330651
96.5 1.330681 1.330712 1.330742 1.330772 1.330802 1.330832 1.330862 1.330893 1.330923 1.330953
96.6 1.330983 1.331013 1.331043 1.331073 1.331104 1.331134 1.331164 1.331194 1.331224 1.331254
96.7 1.331284 1.331314 1.331345 1.331375 1.331405 1.331435 1.331465 1.331495 1.331525 1.331555
96.8 1.331585 1.331615 1.331645 1.331676 1.331706 1.331736 1.331766 1.331796 1.331826 1.331856
96.9 1.331886 1.331916 1.331946 1.331976 1.332006 1.332036 1.332066 1.332096 1.332126 1.332156
Logarithm Table for base 31 — N = 97.00–97.99
N.i 0 1 2 3 4 5 6 7 8 9
97.0 1.332186 1.332216 1.332246 1.332276 1.332306 1.332336 1.332366 1.332396 1.332426 1.332456
97.1 1.332486 1.332516 1.332546 1.332576 1.332606 1.332636 1.332666 1.332696 1.332726 1.332756
97.2 1.332786 1.332816 1.332846 1.332876 1.332906 1.332936 1.332966 1.332996 1.333026 1.333056
97.3 1.333086 1.333116 1.333145 1.333175 1.333205 1.333235 1.333265 1.333295 1.333325 1.333355
97.4 1.333385 1.333415 1.333445 1.333474 1.333504 1.333534 1.333564 1.333594 1.333624 1.333654
97.5 1.333684 1.333713 1.333743 1.333773 1.333803 1.333833 1.333863 1.333893 1.333922 1.333952
97.6 1.333982 1.334012 1.334042 1.334072 1.334101 1.334131 1.334161 1.334191 1.334221 1.334251
97.7 1.334280 1.334310 1.334340 1.334370 1.334400 1.334429 1.334459 1.334489 1.334519 1.334548
97.8 1.334578 1.334608 1.334638 1.334668 1.334697 1.334727 1.334757 1.334787 1.334816 1.334846
97.9 1.334876 1.334906 1.334935 1.334965 1.334995 1.335025 1.335054 1.335084 1.335114 1.335143
Logarithm Table for base 31 — N = 98.00–98.99
N.i 0 1 2 3 4 5 6 7 8 9
98.0 1.335173 1.335203 1.335233 1.335262 1.335292 1.335322 1.335351 1.335381 1.335411 1.335440
98.1 1.335470 1.335500 1.335530 1.335559 1.335589 1.335619 1.335648 1.335678 1.335708 1.335737
98.2 1.335767 1.335796 1.335826 1.335856 1.335885 1.335915 1.335945 1.335974 1.336004 1.336034
98.3 1.336063 1.336093 1.336122 1.336152 1.336182 1.336211 1.336241 1.336271 1.336300 1.336330
98.4 1.336359 1.336389 1.336419 1.336448 1.336478 1.336507 1.336537 1.336566 1.336596 1.336626
98.5 1.336655 1.336685 1.336714 1.336744 1.336773 1.336803 1.336832 1.336862 1.336892 1.336921
98.6 1.336951 1.336980 1.337010 1.337039 1.337069 1.337098 1.337128 1.337157 1.337187 1.337216
98.7 1.337246 1.337275 1.337305 1.337334 1.337364 1.337393 1.337423 1.337452 1.337482 1.337511
98.8 1.337541 1.337570 1.337600 1.337629 1.337659 1.337688 1.337717 1.337747 1.337776 1.337806
98.9 1.337835 1.337865 1.337894 1.337924 1.337953 1.337982 1.338012 1.338041 1.338071 1.338100
Logarithm Table for base 31 — N = 99.00–99.99
N.i 0 1 2 3 4 5 6 7 8 9
99.0 1.338130 1.338159 1.338188 1.338218 1.338247 1.338277 1.338306 1.338335 1.338365 1.338394
99.1 1.338424 1.338453 1.338482 1.338512 1.338541 1.338570 1.338600 1.338629 1.338659 1.338688
99.2 1.338717 1.338747 1.338776 1.338805 1.338835 1.338864 1.338893 1.338923 1.338952 1.338981
99.3 1.339011 1.339040 1.339069 1.339099 1.339128 1.339157 1.339187 1.339216 1.339245 1.339275
99.4 1.339304 1.339333 1.339362 1.339392 1.339421 1.339450 1.339480 1.339509 1.339538 1.339567
99.5 1.339597 1.339626 1.339655 1.339684 1.339714 1.339743 1.339772 1.339801 1.339831 1.339860
99.6 1.339889 1.339918 1.339948 1.339977 1.340006 1.340035 1.340065 1.340094 1.340123 1.340152
99.7 1.340181 1.340211 1.340240 1.340269 1.340298 1.340327 1.340357 1.340386 1.340415 1.340444
99.8 1.340473 1.340502 1.340532 1.340561 1.340590 1.340619 1.340648 1.340677 1.340707 1.340736
99.9 1.340765 1.340794 1.340823 1.340852 1.340882 1.340911 1.340940 1.340969 1.340998 1.341027
Logarithm Table for base 31 — N = 100.00–100.99
N.i 0 1 2 3 4 5 6 7 8 9
100.0 1.341056 1.341085 1.341115 1.341144 1.341173 1.341202 1.341231 1.341260 1.341289 1.341318
100.1 1.341347 1.341376 1.341406 1.341435 1.341464 1.341493 1.341522 1.341551 1.341580 1.341609
100.2 1.341638 1.341667 1.341696 1.341725 1.341754 1.341783 1.341812 1.341842 1.341871 1.341900
100.3 1.341929 1.341958 1.341987 1.342016 1.342045 1.342074 1.342103 1.342132 1.342161 1.342190
100.4 1.342219 1.342248 1.342277 1.342306 1.342335 1.342364 1.342393 1.342422 1.342451 1.342480
100.5 1.342509 1.342538 1.342567 1.342596 1.342625 1.342654 1.342683 1.342711 1.342740 1.342769
100.6 1.342798 1.342827 1.342856 1.342885 1.342914 1.342943 1.342972 1.343001 1.343030 1.343059
100.7 1.343088 1.343117 1.343145 1.343174 1.343203 1.343232 1.343261 1.343290 1.343319 1.343348
100.8 1.343377 1.343406 1.343434 1.343463 1.343492 1.343521 1.343550 1.343579 1.343608 1.343637
100.9 1.343665 1.343694 1.343723 1.343752 1.343781 1.343810 1.343839 1.343867 1.343896 1.343925

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