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Logarithm Table for base 831

This page shows the logarithm table for base 831, 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 831 — N = 1.00–1.99
N.i 0 1 2 3 4 5 6 7 8 9
1.0 0.000000 0.001480 0.002946 0.004397 0.005834 0.007258 0.008668 0.010064 0.011448 0.012819
1.1 0.014178 0.015524 0.016858 0.018180 0.019491 0.020790 0.022078 0.023355 0.024620 0.025876
1.2 0.027121 0.028355 0.029579 0.030794 0.031998 0.033193 0.034378 0.035554 0.036721 0.037878
1.3 0.039027 0.040167 0.041298 0.042421 0.043535 0.044641 0.045739 0.046829 0.047910 0.048984
1.4 0.050051 0.051109 0.052161 0.053205 0.054241 0.055271 0.056293 0.057308 0.058317 0.059318
1.5 0.060313 0.061302 0.062284 0.063259 0.064228 0.065191 0.066148 0.067098 0.068043 0.068981
1.6 0.069914 0.070840 0.071762 0.072677 0.073587 0.074491 0.075390 0.076283 0.077171 0.078054
1.7 0.078932 0.079804 0.080671 0.081534 0.082391 0.083244 0.084091 0.084934 0.085772 0.086605
1.8 0.087434 0.088258 0.089078 0.089893 0.090703 0.091510 0.092312 0.093109 0.093903 0.094692
1.9 0.095477 0.096257 0.097034 0.097807 0.098576 0.099340 0.100101 0.100858 0.101612 0.102361

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Logarithm Table for base 831 — N = 2.00–2.99
N.i 0 1 2 3 4 5 6 7 8 9
2.0 0.103107 0.103848 0.104587 0.105321 0.106052 0.106780 0.107503 0.108224 0.108941 0.109654
2.1 0.110364 0.111071 0.111774 0.112474 0.113171 0.113864 0.114555 0.115242 0.115926 0.116606
2.2 0.117284 0.117959 0.118630 0.119299 0.119964 0.120627 0.121287 0.121943 0.122597 0.123248
2.3 0.123896 0.124542 0.125184 0.125824 0.126461 0.127095 0.127727 0.128356 0.128982 0.129606
2.4 0.130227 0.130846 0.131462 0.132075 0.132686 0.133294 0.133900 0.134504 0.135105 0.135703
2.5 0.136299 0.136893 0.137485 0.138074 0.138661 0.139245 0.139827 0.140407 0.140985 0.141560
2.6 0.142134 0.142705 0.143273 0.143840 0.144405 0.144967 0.145527 0.146085 0.146642 0.147196
2.7 0.147748 0.148297 0.148845 0.149391 0.149935 0.150477 0.151017 0.151555 0.152091 0.152625
2.8 0.153157 0.153688 0.154216 0.154743 0.155267 0.155790 0.156311 0.156830 0.157348 0.157863
2.9 0.158377 0.158889 0.159399 0.159908 0.160415 0.160920 0.161423 0.161925 0.162425 0.162923
Logarithm Table for base 831 — N = 3.00–3.99
N.i 0 1 2 3 4 5 6 7 8 9
3.0 0.163420 0.163915 0.164408 0.164900 0.165390 0.165879 0.166366 0.166851 0.167335 0.167817
3.1 0.168298 0.168777 0.169254 0.169730 0.170205 0.170678 0.171149 0.171619 0.172088 0.172555
3.2 0.173020 0.173484 0.173947 0.174408 0.174868 0.175326 0.175783 0.176239 0.176693 0.177146
3.3 0.177598 0.178048 0.178496 0.178944 0.179390 0.179834 0.180278 0.180720 0.181161 0.181600
3.4 0.182038 0.182475 0.182911 0.183345 0.183778 0.184210 0.184640 0.185070 0.185498 0.185925
3.5 0.186350 0.186775 0.187198 0.187620 0.188041 0.188460 0.188879 0.189296 0.189712 0.190127
3.6 0.190541 0.190953 0.191365 0.191775 0.192184 0.192592 0.192999 0.193405 0.193810 0.194214
3.7 0.194616 0.195018 0.195418 0.195817 0.196216 0.196613 0.197009 0.197404 0.197798 0.198191
3.8 0.198583 0.198974 0.199364 0.199753 0.200141 0.200528 0.200914 0.201298 0.201682 0.202065
3.9 0.202447 0.202828 0.203208 0.203587 0.203965 0.204342 0.204718 0.205093 0.205467 0.205841
Logarithm Table for base 831 — N = 4.00–4.99
N.i 0 1 2 3 4 5 6 7 8 9
4.0 0.206213 0.206585 0.206955 0.207325 0.207693 0.208061 0.208428 0.208794 0.209159 0.209523
4.1 0.209886 0.210249 0.210610 0.210971 0.211330 0.211689 0.212047 0.212404 0.212761 0.213116
4.2 0.213471 0.213824 0.214177 0.214529 0.214881 0.215231 0.215581 0.215929 0.216277 0.216625
4.3 0.216971 0.217316 0.217661 0.218005 0.218348 0.218691 0.219032 0.219373 0.219713 0.220052
4.4 0.220391 0.220728 0.221065 0.221401 0.221737 0.222071 0.222405 0.222738 0.223071 0.223403
4.5 0.223733 0.224064 0.224393 0.224722 0.225050 0.225377 0.225704 0.226030 0.226355 0.226679
4.6 0.227003 0.227326 0.227648 0.227970 0.228291 0.228611 0.228931 0.229249 0.229568 0.229885
4.7 0.230202 0.230518 0.230834 0.231148 0.231463 0.231776 0.232089 0.232401 0.232713 0.233023
4.8 0.233334 0.233643 0.233952 0.234260 0.234568 0.234875 0.235182 0.235487 0.235792 0.236097
4.9 0.236401 0.236704 0.237007 0.237309 0.237610 0.237911 0.238211 0.238511 0.238810 0.239108
Logarithm Table for base 831 — N = 5.00–5.99
N.i 0 1 2 3 4 5 6 7 8 9
5.0 0.239406 0.239703 0.240000 0.240296 0.240591 0.240886 0.241180 0.241474 0.241767 0.242060
5.1 0.242352 0.242643 0.242934 0.243224 0.243514 0.243803 0.244091 0.244379 0.244667 0.244954
5.2 0.245240 0.245526 0.245811 0.246096 0.246380 0.246664 0.246947 0.247229 0.247511 0.247793
5.3 0.248074 0.248354 0.248634 0.248913 0.249192 0.249470 0.249748 0.250025 0.250302 0.250578
5.4 0.250854 0.251129 0.251404 0.251678 0.251952 0.252225 0.252498 0.252770 0.253042 0.253313
5.5 0.253584 0.253854 0.254123 0.254393 0.254661 0.254930 0.255197 0.255465 0.255732 0.255998
5.6 0.256264 0.256529 0.256794 0.257059 0.257323 0.257586 0.257849 0.258112 0.258374 0.258635
5.7 0.258897 0.259157 0.259418 0.259677 0.259937 0.260196 0.260454 0.260712 0.260970 0.261227
5.8 0.261484 0.261740 0.261996 0.262251 0.262506 0.262761 0.263015 0.263268 0.263521 0.263774
5.9 0.264026 0.264278 0.264530 0.264781 0.265032 0.265282 0.265532 0.265781 0.266030 0.266278
Logarithm Table for base 831 — N = 6.00–6.99
N.i 0 1 2 3 4 5 6 7 8 9
6.0 0.266527 0.266774 0.267022 0.267268 0.267515 0.267761 0.268007 0.268252 0.268497 0.268741
6.1 0.268985 0.269229 0.269472 0.269715 0.269958 0.270200 0.270441 0.270683 0.270923 0.271164
6.2 0.271404 0.271644 0.271883 0.272122 0.272361 0.272599 0.272837 0.273074 0.273311 0.273548
6.3 0.273784 0.274020 0.274256 0.274491 0.274726 0.274960 0.275194 0.275428 0.275661 0.275894
6.4 0.276127 0.276359 0.276591 0.276822 0.277054 0.277284 0.277515 0.277745 0.277975 0.278204
6.5 0.278433 0.278662 0.278890 0.279118 0.279346 0.279573 0.279800 0.280026 0.280253 0.280479
6.6 0.280704 0.280929 0.281154 0.281379 0.281603 0.281827 0.282050 0.282273 0.282496 0.282719
6.7 0.282941 0.283163 0.283384 0.283606 0.283826 0.284047 0.284267 0.284487 0.284707 0.284926
6.8 0.285145 0.285363 0.285582 0.285800 0.286017 0.286235 0.286452 0.286668 0.286885 0.287101
6.9 0.287316 0.287532 0.287747 0.287962 0.288176 0.288390 0.288604 0.288818 0.289031 0.289244
Logarithm Table for base 831 — N = 7.00–7.99
N.i 0 1 2 3 4 5 6 7 8 9
7.0 0.289457 0.289669 0.289881 0.290093 0.290304 0.290515 0.290726 0.290937 0.291147 0.291357
7.1 0.291567 0.291776 0.291985 0.292194 0.292402 0.292611 0.292818 0.293026 0.293233 0.293440
7.2 0.293647 0.293854 0.294060 0.294266 0.294471 0.294677 0.294882 0.295086 0.295291 0.295495
7.3 0.295699 0.295903 0.296106 0.296309 0.296512 0.296714 0.296917 0.297119 0.297320 0.297522
7.4 0.297723 0.297924 0.298124 0.298325 0.298525 0.298724 0.298924 0.299123 0.299322 0.299521
7.5 0.299719 0.299918 0.300116 0.300313 0.300511 0.300708 0.300905 0.301101 0.301298 0.301494
7.6 0.301690 0.301885 0.302081 0.302276 0.302471 0.302665 0.302859 0.303054 0.303247 0.303441
7.7 0.303634 0.303827 0.304020 0.304213 0.304405 0.304597 0.304789 0.304980 0.305172 0.305363
7.8 0.305554 0.305744 0.305935 0.306125 0.306314 0.306504 0.306693 0.306883 0.307071 0.307260
7.9 0.307449 0.307637 0.307825 0.308012 0.308200 0.308387 0.308574 0.308761 0.308947 0.309134
Logarithm Table for base 831 — N = 8.00–8.99
N.i 0 1 2 3 4 5 6 7 8 9
8.0 0.309320 0.309505 0.309691 0.309876 0.310062 0.310246 0.310431 0.310616 0.310800 0.310984
8.1 0.311168 0.311351 0.311534 0.311717 0.311900 0.312083 0.312265 0.312448 0.312629 0.312811
8.2 0.312993 0.313174 0.313355 0.313536 0.313717 0.313897 0.314077 0.314257 0.314437 0.314616
8.3 0.314796 0.314975 0.315154 0.315332 0.315511 0.315689 0.315867 0.316045 0.316223 0.316400
8.4 0.316577 0.316754 0.316931 0.317108 0.317284 0.317460 0.317636 0.317812 0.317987 0.318163
8.5 0.318338 0.318513 0.318687 0.318862 0.319036 0.319210 0.319384 0.319558 0.319731 0.319904
8.6 0.320077 0.320250 0.320423 0.320595 0.320768 0.320940 0.321112 0.321283 0.321455 0.321626
8.7 0.321797 0.321968 0.322139 0.322309 0.322479 0.322650 0.322819 0.322989 0.323159 0.323328
8.8 0.323497 0.323666 0.323835 0.324003 0.324172 0.324340 0.324508 0.324676 0.324843 0.325011
8.9 0.325178 0.325345 0.325512 0.325679 0.325845 0.326011 0.326177 0.326343 0.326509 0.326675
Logarithm Table for base 831 — N = 9.00–9.99
N.i 0 1 2 3 4 5 6 7 8 9
9.0 0.326840 0.327005 0.327170 0.327335 0.327500 0.327664 0.327828 0.327993 0.328156 0.328320
9.1 0.328484 0.328647 0.328810 0.328973 0.329136 0.329299 0.329461 0.329624 0.329786 0.329948
9.2 0.330109 0.330271 0.330432 0.330594 0.330755 0.330916 0.331076 0.331237 0.331397 0.331558
9.3 0.331718 0.331877 0.332037 0.332197 0.332356 0.332515 0.332674 0.332833 0.332992 0.333150
9.4 0.333309 0.333467 0.333625 0.333782 0.333940 0.334098 0.334255 0.334412 0.334569 0.334726
9.5 0.334883 0.335039 0.335195 0.335352 0.335508 0.335663 0.335819 0.335975 0.336130 0.336285
9.6 0.336440 0.336595 0.336750 0.336904 0.337059 0.337213 0.337367 0.337521 0.337675 0.337828
9.7 0.337982 0.338135 0.338288 0.338441 0.338594 0.338746 0.338899 0.339051 0.339203 0.339356
9.8 0.339507 0.339659 0.339811 0.339962 0.340113 0.340264 0.340415 0.340566 0.340717 0.340867
9.9 0.341018 0.341168 0.341318 0.341468 0.341617 0.341767 0.341916 0.342066 0.342215 0.342364
Logarithm Table for base 831 — N = 10.00–10.99
N.i 0 1 2 3 4 5 6 7 8 9
10.0 0.342513 0.342661 0.342810 0.342958 0.343106 0.343254 0.343402 0.343550 0.343698 0.343845
10.1 0.343993 0.344140 0.344287 0.344434 0.344581 0.344727 0.344874 0.345020 0.345166 0.345312
10.2 0.345458 0.345604 0.345750 0.345895 0.346040 0.346186 0.346331 0.346476 0.346620 0.346765
10.3 0.346909 0.347054 0.347198 0.347342 0.347486 0.347630 0.347773 0.347917 0.348060 0.348204
10.4 0.348347 0.348490 0.348632 0.348775 0.348918 0.349060 0.349202 0.349345 0.349487 0.349628
10.5 0.349770 0.349912 0.350053 0.350195 0.350336 0.350477 0.350618 0.350759 0.350899 0.351040
10.6 0.351180 0.351320 0.351461 0.351601 0.351740 0.351880 0.352020 0.352159 0.352299 0.352438
10.7 0.352577 0.352716 0.352855 0.352993 0.353132 0.353270 0.353409 0.353547 0.353685 0.353823
10.8 0.353961 0.354098 0.354236 0.354373 0.354511 0.354648 0.354785 0.354922 0.355058 0.355195
10.9 0.355332 0.355468 0.355604 0.355740 0.355876 0.356012 0.356148 0.356284 0.356419 0.356555
Logarithm Table for base 831 — N = 11.00–11.99
N.i 0 1 2 3 4 5 6 7 8 9
11.0 0.356690 0.356825 0.356960 0.357095 0.357230 0.357365 0.357499 0.357634 0.357768 0.357902
11.1 0.358036 0.358170 0.358304 0.358438 0.358571 0.358705 0.358838 0.358971 0.359104 0.359237
11.2 0.359370 0.359503 0.359636 0.359768 0.359901 0.360033 0.360165 0.360297 0.360429 0.360561
11.3 0.360693 0.360824 0.360956 0.361087 0.361218 0.361349 0.361480 0.361611 0.361742 0.361873
11.4 0.362003 0.362134 0.362264 0.362394 0.362524 0.362654 0.362784 0.362914 0.363043 0.363173
11.5 0.363302 0.363432 0.363561 0.363690 0.363819 0.363948 0.364076 0.364205 0.364334 0.364462
11.6 0.364590 0.364718 0.364846 0.364974 0.365102 0.365230 0.365358 0.365485 0.365613 0.365740
11.7 0.365867 0.365994 0.366121 0.366248 0.366375 0.366501 0.366628 0.366754 0.366881 0.367007
11.8 0.367133 0.367259 0.367385 0.367511 0.367636 0.367762 0.367887 0.368013 0.368138 0.368263
11.9 0.368388 0.368513 0.368638 0.368763 0.368888 0.369012 0.369136 0.369261 0.369385 0.369509
Logarithm Table for base 831 — N = 12.00–12.99
N.i 0 1 2 3 4 5 6 7 8 9
12.0 0.369633 0.369757 0.369881 0.370005 0.370128 0.370252 0.370375 0.370498 0.370622 0.370745
12.1 0.370868 0.370990 0.371113 0.371236 0.371359 0.371481 0.371603 0.371726 0.371848 0.371970
12.2 0.372092 0.372214 0.372336 0.372457 0.372579 0.372700 0.372822 0.372943 0.373064 0.373185
12.3 0.373306 0.373427 0.373548 0.373669 0.373789 0.373910 0.374030 0.374150 0.374271 0.374391
12.4 0.374511 0.374631 0.374750 0.374870 0.374990 0.375109 0.375229 0.375348 0.375467 0.375586
12.5 0.375705 0.375824 0.375943 0.376062 0.376181 0.376299 0.376418 0.376536 0.376654 0.376773
12.6 0.376891 0.377009 0.377127 0.377244 0.377362 0.377480 0.377597 0.377715 0.377832 0.377949
12.7 0.378067 0.378184 0.378301 0.378418 0.378534 0.378651 0.378768 0.378884 0.379001 0.379117
12.8 0.379233 0.379349 0.379466 0.379582 0.379697 0.379813 0.379929 0.380045 0.380160 0.380276
12.9 0.380391 0.380506 0.380621 0.380736 0.380851 0.380966 0.381081 0.381196 0.381311 0.381425
Logarithm Table for base 831 — N = 13.00–13.99
N.i 0 1 2 3 4 5 6 7 8 9
13.0 0.381540 0.381654 0.381768 0.381882 0.381997 0.382111 0.382225 0.382338 0.382452 0.382566
13.1 0.382679 0.382793 0.382906 0.383020 0.383133 0.383246 0.383359 0.383472 0.383585 0.383698
13.2 0.383811 0.383923 0.384036 0.384148 0.384261 0.384373 0.384485 0.384597 0.384709 0.384821
13.3 0.384933 0.385045 0.385157 0.385268 0.385380 0.385491 0.385603 0.385714 0.385825 0.385936
13.4 0.386048 0.386159 0.386269 0.386380 0.386491 0.386602 0.386712 0.386823 0.386933 0.387043
13.5 0.387154 0.387264 0.387374 0.387484 0.387594 0.387703 0.387813 0.387923 0.388032 0.388142
13.6 0.388251 0.388361 0.388470 0.388579 0.388688 0.388797 0.388906 0.389015 0.389124 0.389232
13.7 0.389341 0.389450 0.389558 0.389666 0.389775 0.389883 0.389991 0.390099 0.390207 0.390315
13.8 0.390423 0.390531 0.390638 0.390746 0.390853 0.390961 0.391068 0.391176 0.391283 0.391390
13.9 0.391497 0.391604 0.391711 0.391818 0.391924 0.392031 0.392138 0.392244 0.392351 0.392457
Logarithm Table for base 831 — N = 14.00–14.99
N.i 0 1 2 3 4 5 6 7 8 9
14.0 0.392563 0.392669 0.392776 0.392882 0.392988 0.393094 0.393199 0.393305 0.393411 0.393516
14.1 0.393622 0.393727 0.393833 0.393938 0.394043 0.394149 0.394254 0.394359 0.394464 0.394568
14.2 0.394673 0.394778 0.394883 0.394987 0.395092 0.395196 0.395300 0.395405 0.395509 0.395613
14.3 0.395717 0.395821 0.395925 0.396029 0.396133 0.396236 0.396340 0.396443 0.396547 0.396650
14.4 0.396754 0.396857 0.396960 0.397063 0.397166 0.397269 0.397372 0.397475 0.397578 0.397680
14.5 0.397783 0.397886 0.397988 0.398091 0.398193 0.398295 0.398397 0.398500 0.398602 0.398704
14.6 0.398805 0.398907 0.399009 0.399111 0.399212 0.399314 0.399416 0.399517 0.399618 0.399720
14.7 0.399821 0.399922 0.400023 0.400124 0.400225 0.400326 0.400427 0.400527 0.400628 0.400729
14.8 0.400829 0.400930 0.401030 0.401131 0.401231 0.401331 0.401431 0.401531 0.401631 0.401731
14.9 0.401831 0.401931 0.402031 0.402130 0.402230 0.402329 0.402429 0.402528 0.402628 0.402727
Logarithm Table for base 831 — N = 15.00–15.99
N.i 0 1 2 3 4 5 6 7 8 9
15.0 0.402826 0.402925 0.403024 0.403123 0.403222 0.403321 0.403420 0.403519 0.403617 0.403716
15.1 0.403814 0.403913 0.404011 0.404110 0.404208 0.404306 0.404404 0.404502 0.404600 0.404698
15.2 0.404796 0.404894 0.404992 0.405090 0.405187 0.405285 0.405382 0.405480 0.405577 0.405674
15.3 0.405772 0.405869 0.405966 0.406063 0.406160 0.406257 0.406354 0.406451 0.406547 0.406644
15.4 0.406741 0.406837 0.406934 0.407030 0.407127 0.407223 0.407319 0.407415 0.407511 0.407608
15.5 0.407704 0.407799 0.407895 0.407991 0.408087 0.408183 0.408278 0.408374 0.408469 0.408565
15.6 0.408660 0.408755 0.408851 0.408946 0.409041 0.409136 0.409231 0.409326 0.409421 0.409516
15.7 0.409611 0.409705 0.409800 0.409895 0.409989 0.410084 0.410178 0.410272 0.410367 0.410461
15.8 0.410555 0.410649 0.410743 0.410837 0.410931 0.411025 0.411119 0.411213 0.411306 0.411400
15.9 0.411494 0.411587 0.411681 0.411774 0.411867 0.411961 0.412054 0.412147 0.412240 0.412333
Logarithm Table for base 831 — N = 16.00–16.99
N.i 0 1 2 3 4 5 6 7 8 9
16.0 0.412426 0.412519 0.412612 0.412705 0.412798 0.412890 0.412983 0.413076 0.413168 0.413261
16.1 0.413353 0.413445 0.413538 0.413630 0.413722 0.413814 0.413906 0.413998 0.414090 0.414182
16.2 0.414274 0.414366 0.414458 0.414549 0.414641 0.414732 0.414824 0.414915 0.415007 0.415098
16.3 0.415189 0.415281 0.415372 0.415463 0.415554 0.415645 0.415736 0.415827 0.415918 0.416009
16.4 0.416099 0.416190 0.416281 0.416371 0.416462 0.416552 0.416642 0.416733 0.416823 0.416913
16.5 0.417004 0.417094 0.417184 0.417274 0.417364 0.417454 0.417543 0.417633 0.417723 0.417813
16.6 0.417902 0.417992 0.418081 0.418171 0.418260 0.418350 0.418439 0.418528 0.418617 0.418707
16.7 0.418796 0.418885 0.418974 0.419063 0.419152 0.419240 0.419329 0.419418 0.419507 0.419595
16.8 0.419684 0.419772 0.419861 0.419949 0.420038 0.420126 0.420214 0.420302 0.420390 0.420479
16.9 0.420567 0.420655 0.420743 0.420830 0.420918 0.421006 0.421094 0.421181 0.421269 0.421357
Logarithm Table for base 831 — N = 17.00–17.99
N.i 0 1 2 3 4 5 6 7 8 9
17.0 0.421444 0.421532 0.421619 0.421706 0.421794 0.421881 0.421968 0.422055 0.422143 0.422230
17.1 0.422317 0.422404 0.422491 0.422577 0.422664 0.422751 0.422838 0.422924 0.423011 0.423097
17.2 0.423184 0.423270 0.423357 0.423443 0.423530 0.423616 0.423702 0.423788 0.423874 0.423960
17.3 0.424046 0.424132 0.424218 0.424304 0.424390 0.424476 0.424561 0.424647 0.424733 0.424818
17.4 0.424904 0.424989 0.425075 0.425160 0.425245 0.425331 0.425416 0.425501 0.425586 0.425671
17.5 0.425756 0.425841 0.425926 0.426011 0.426096 0.426181 0.426265 0.426350 0.426435 0.426519
17.6 0.426604 0.426688 0.426773 0.426857 0.426941 0.427026 0.427110 0.427194 0.427278 0.427362
17.7 0.427447 0.427531 0.427614 0.427698 0.427782 0.427866 0.427950 0.428034 0.428117 0.428201
17.8 0.428285 0.428368 0.428452 0.428535 0.428618 0.428702 0.428785 0.428868 0.428952 0.429035
17.9 0.429118 0.429201 0.429284 0.429367 0.429450 0.429533 0.429616 0.429698 0.429781 0.429864
Logarithm Table for base 831 — N = 18.00–18.99
N.i 0 1 2 3 4 5 6 7 8 9
18.0 0.429947 0.430029 0.430112 0.430194 0.430277 0.430359 0.430442 0.430524 0.430606 0.430688
18.1 0.430771 0.430853 0.430935 0.431017 0.431099 0.431181 0.431263 0.431345 0.431427 0.431509
18.2 0.431590 0.431672 0.431754 0.431835 0.431917 0.431998 0.432080 0.432161 0.432243 0.432324
18.3 0.432405 0.432487 0.432568 0.432649 0.432730 0.432811 0.432892 0.432973 0.433054 0.433135
18.4 0.433216 0.433297 0.433378 0.433458 0.433539 0.433620 0.433700 0.433781 0.433861 0.433942
18.5 0.434022 0.434103 0.434183 0.434263 0.434344 0.434424 0.434504 0.434584 0.434664 0.434744
18.6 0.434824 0.434904 0.434984 0.435064 0.435144 0.435223 0.435303 0.435383 0.435463 0.435542
18.7 0.435622 0.435701 0.435781 0.435860 0.435940 0.436019 0.436098 0.436177 0.436257 0.436336
18.8 0.436415 0.436494 0.436573 0.436652 0.436731 0.436810 0.436889 0.436968 0.437047 0.437125
18.9 0.437204 0.437283 0.437362 0.437440 0.437519 0.437597 0.437676 0.437754 0.437832 0.437911
Logarithm Table for base 831 — N = 19.00–19.99
N.i 0 1 2 3 4 5 6 7 8 9
19.0 0.437989 0.438067 0.438146 0.438224 0.438302 0.438380 0.438458 0.438536 0.438614 0.438692
19.1 0.438770 0.438848 0.438926 0.439003 0.439081 0.439159 0.439237 0.439314 0.439392 0.439469
19.2 0.439547 0.439624 0.439702 0.439779 0.439856 0.439934 0.440011 0.440088 0.440165 0.440242
19.3 0.440320 0.440397 0.440474 0.440551 0.440627 0.440704 0.440781 0.440858 0.440935 0.441012
19.4 0.441088 0.441165 0.441242 0.441318 0.441395 0.441471 0.441548 0.441624 0.441700 0.441777
19.5 0.441853 0.441929 0.442006 0.442082 0.442158 0.442234 0.442310 0.442386 0.442462 0.442538
19.6 0.442614 0.442690 0.442766 0.442841 0.442917 0.442993 0.443069 0.443144 0.443220 0.443295
19.7 0.443371 0.443446 0.443522 0.443597 0.443673 0.443748 0.443823 0.443899 0.443974 0.444049
19.8 0.444124 0.444199 0.444274 0.444349 0.444424 0.444499 0.444574 0.444649 0.444724 0.444799
19.9 0.444873 0.444948 0.445023 0.445098 0.445172 0.445247 0.445321 0.445396 0.445470 0.445545
Logarithm Table for base 831 — N = 20.00–20.99
N.i 0 1 2 3 4 5 6 7 8 9
20.0 0.445619 0.445693 0.445768 0.445842 0.445916 0.445991 0.446065 0.446139 0.446213 0.446287
20.1 0.446361 0.446435 0.446509 0.446583 0.446657 0.446731 0.446804 0.446878 0.446952 0.447026
20.2 0.447099 0.447173 0.447246 0.447320 0.447393 0.447467 0.447540 0.447614 0.447687 0.447761
20.3 0.447834 0.447907 0.447980 0.448053 0.448127 0.448200 0.448273 0.448346 0.448419 0.448492
20.4 0.448565 0.448638 0.448711 0.448783 0.448856 0.448929 0.449002 0.449074 0.449147 0.449220
20.5 0.449292 0.449365 0.449437 0.449510 0.449582 0.449655 0.449727 0.449799 0.449872 0.449944
20.6 0.450016 0.450088 0.450160 0.450232 0.450305 0.450377 0.450449 0.450521 0.450593 0.450664
20.7 0.450736 0.450808 0.450880 0.450952 0.451024 0.451095 0.451167 0.451239 0.451310 0.451382
20.8 0.451453 0.451525 0.451596 0.451668 0.451739 0.451810 0.451882 0.451953 0.452024 0.452095
20.9 0.452167 0.452238 0.452309 0.452380 0.452451 0.452522 0.452593 0.452664 0.452735 0.452806
Logarithm Table for base 831 — N = 21.00–21.99
N.i 0 1 2 3 4 5 6 7 8 9
21.0 0.452877 0.452948 0.453018 0.453089 0.453160 0.453230 0.453301 0.453372 0.453442 0.453513
21.1 0.453583 0.453654 0.453724 0.453795 0.453865 0.453935 0.454006 0.454076 0.454146 0.454216
21.2 0.454287 0.454357 0.454427 0.454497 0.454567 0.454637 0.454707 0.454777 0.454847 0.454917
21.3 0.454987 0.455057 0.455126 0.455196 0.455266 0.455335 0.455405 0.455475 0.455544 0.455614
21.4 0.455683 0.455753 0.455822 0.455892 0.455961 0.456031 0.456100 0.456169 0.456238 0.456308
21.5 0.456377 0.456446 0.456515 0.456584 0.456653 0.456722 0.456791 0.456860 0.456929 0.456998
21.6 0.457067 0.457136 0.457205 0.457274 0.457342 0.457411 0.457480 0.457548 0.457617 0.457686
21.7 0.457754 0.457823 0.457891 0.457960 0.458028 0.458097 0.458165 0.458233 0.458302 0.458370
21.8 0.458438 0.458506 0.458575 0.458643 0.458711 0.458779 0.458847 0.458915 0.458983 0.459051
21.9 0.459119 0.459187 0.459255 0.459323 0.459390 0.459458 0.459526 0.459594 0.459661 0.459729
Logarithm Table for base 831 — N = 22.00–22.99
N.i 0 1 2 3 4 5 6 7 8 9
22.0 0.459797 0.459864 0.459932 0.459999 0.460067 0.460134 0.460202 0.460269 0.460337 0.460404
22.1 0.460471 0.460539 0.460606 0.460673 0.460740 0.460807 0.460875 0.460942 0.461009 0.461076
22.2 0.461143 0.461210 0.461277 0.461344 0.461411 0.461477 0.461544 0.461611 0.461678 0.461745
22.3 0.461811 0.461878 0.461945 0.462011 0.462078 0.462144 0.462211 0.462278 0.462344 0.462410
22.4 0.462477 0.462543 0.462610 0.462676 0.462742 0.462809 0.462875 0.462941 0.463007 0.463073
22.5 0.463139 0.463206 0.463272 0.463338 0.463404 0.463470 0.463536 0.463602 0.463667 0.463733
22.6 0.463799 0.463865 0.463931 0.463996 0.464062 0.464128 0.464194 0.464259 0.464325 0.464390
22.7 0.464456 0.464521 0.464587 0.464652 0.464718 0.464783 0.464849 0.464914 0.464979 0.465044
22.8 0.465110 0.465175 0.465240 0.465305 0.465370 0.465436 0.465501 0.465566 0.465631 0.465696
22.9 0.465761 0.465826 0.465891 0.465955 0.466020 0.466085 0.466150 0.466215 0.466279 0.466344
Logarithm Table for base 831 — N = 23.00–23.99
N.i 0 1 2 3 4 5 6 7 8 9
23.0 0.466409 0.466474 0.466538 0.466603 0.466667 0.466732 0.466796 0.466861 0.466925 0.466990
23.1 0.467054 0.467119 0.467183 0.467247 0.467312 0.467376 0.467440 0.467504 0.467568 0.467633
23.2 0.467697 0.467761 0.467825 0.467889 0.467953 0.468017 0.468081 0.468145 0.468209 0.468273
23.3 0.468337 0.468400 0.468464 0.468528 0.468592 0.468655 0.468719 0.468783 0.468846 0.468910
23.4 0.468974 0.469037 0.469101 0.469164 0.469228 0.469291 0.469355 0.469418 0.469481 0.469545
23.5 0.469608 0.469671 0.469734 0.469798 0.469861 0.469924 0.469987 0.470050 0.470113 0.470177
23.6 0.470240 0.470303 0.470366 0.470429 0.470492 0.470554 0.470617 0.470680 0.470743 0.470806
23.7 0.470869 0.470931 0.470994 0.471057 0.471119 0.471182 0.471245 0.471307 0.471370 0.471432
23.8 0.471495 0.471557 0.471620 0.471682 0.471745 0.471807 0.471869 0.471932 0.471994 0.472056
23.9 0.472119 0.472181 0.472243 0.472305 0.472367 0.472429 0.472492 0.472554 0.472616 0.472678
Logarithm Table for base 831 — N = 24.00–24.99
N.i 0 1 2 3 4 5 6 7 8 9
24.0 0.472740 0.472802 0.472864 0.472925 0.472987 0.473049 0.473111 0.473173 0.473235 0.473296
24.1 0.473358 0.473420 0.473482 0.473543 0.473605 0.473666 0.473728 0.473790 0.473851 0.473913
24.2 0.473974 0.474036 0.474097 0.474158 0.474220 0.474281 0.474342 0.474404 0.474465 0.474526
24.3 0.474588 0.474649 0.474710 0.474771 0.474832 0.474893 0.474954 0.475015 0.475076 0.475137
24.4 0.475198 0.475259 0.475320 0.475381 0.475442 0.475503 0.475564 0.475625 0.475685 0.475746
24.5 0.475807 0.475868 0.475928 0.475989 0.476049 0.476110 0.476171 0.476231 0.476292 0.476352
24.6 0.476413 0.476473 0.476534 0.476594 0.476654 0.476715 0.476775 0.476835 0.476896 0.476956
24.7 0.477016 0.477076 0.477137 0.477197 0.477257 0.477317 0.477377 0.477437 0.477497 0.477557
24.8 0.477617 0.477677 0.477737 0.477797 0.477857 0.477917 0.477977 0.478036 0.478096 0.478156
24.9 0.478216 0.478276 0.478335 0.478395 0.478455 0.478514 0.478574 0.478633 0.478693 0.478752
Logarithm Table for base 831 — N = 25.00–25.99
N.i 0 1 2 3 4 5 6 7 8 9
25.0 0.478812 0.478871 0.478931 0.478990 0.479050 0.479109 0.479169 0.479228 0.479287 0.479347
25.1 0.479406 0.479465 0.479524 0.479584 0.479643 0.479702 0.479761 0.479820 0.479879 0.479938
25.2 0.479997 0.480056 0.480115 0.480174 0.480233 0.480292 0.480351 0.480410 0.480469 0.480528
25.3 0.480586 0.480645 0.480704 0.480763 0.480821 0.480880 0.480939 0.480997 0.481056 0.481115
25.4 0.481173 0.481232 0.481290 0.481349 0.481407 0.481466 0.481524 0.481583 0.481641 0.481699
25.5 0.481758 0.481816 0.481874 0.481933 0.481991 0.482049 0.482107 0.482165 0.482224 0.482282
25.6 0.482340 0.482398 0.482456 0.482514 0.482572 0.482630 0.482688 0.482746 0.482804 0.482862
25.7 0.482920 0.482978 0.483036 0.483093 0.483151 0.483209 0.483267 0.483324 0.483382 0.483440
25.8 0.483497 0.483555 0.483613 0.483670 0.483728 0.483785 0.483843 0.483901 0.483958 0.484015
25.9 0.484073 0.484130 0.484188 0.484245 0.484302 0.484360 0.484417 0.484474 0.484532 0.484589
Logarithm Table for base 831 — N = 26.00–26.99
N.i 0 1 2 3 4 5 6 7 8 9
26.0 0.484646 0.484703 0.484761 0.484818 0.484875 0.484932 0.484989 0.485046 0.485103 0.485160
26.1 0.485217 0.485274 0.485331 0.485388 0.485445 0.485502 0.485559 0.485616 0.485672 0.485729
26.2 0.485786 0.485843 0.485900 0.485956 0.486013 0.486070 0.486126 0.486183 0.486240 0.486296
26.3 0.486353 0.486409 0.486466 0.486522 0.486579 0.486635 0.486692 0.486748 0.486804 0.486861
26.4 0.486917 0.486974 0.487030 0.487086 0.487142 0.487199 0.487255 0.487311 0.487367 0.487423
26.5 0.487480 0.487536 0.487592 0.487648 0.487704 0.487760 0.487816 0.487872 0.487928 0.487984
26.6 0.488040 0.488096 0.488152 0.488208 0.488263 0.488319 0.488375 0.488431 0.488487 0.488542
26.7 0.488598 0.488654 0.488709 0.488765 0.488821 0.488876 0.488932 0.488987 0.489043 0.489099
26.8 0.489154 0.489210 0.489265 0.489321 0.489376 0.489431 0.489487 0.489542 0.489597 0.489653
26.9 0.489708 0.489763 0.489819 0.489874 0.489929 0.489984 0.490040 0.490095 0.490150 0.490205
Logarithm Table for base 831 — N = 27.00–27.99
N.i 0 1 2 3 4 5 6 7 8 9
27.0 0.490260 0.490315 0.490370 0.490425 0.490480 0.490535 0.490590 0.490645 0.490700 0.490755
27.1 0.490810 0.490865 0.490920 0.490975 0.491029 0.491084 0.491139 0.491194 0.491248 0.491303
27.2 0.491358 0.491413 0.491467 0.491522 0.491576 0.491631 0.491686 0.491740 0.491795 0.491849
27.3 0.491904 0.491958 0.492013 0.492067 0.492122 0.492176 0.492230 0.492285 0.492339 0.492393
27.4 0.492448 0.492502 0.492556 0.492610 0.492665 0.492719 0.492773 0.492827 0.492881 0.492935
27.5 0.492990 0.493044 0.493098 0.493152 0.493206 0.493260 0.493314 0.493368 0.493422 0.493476
27.6 0.493529 0.493583 0.493637 0.493691 0.493745 0.493799 0.493852 0.493906 0.493960 0.494014
27.7 0.494067 0.494121 0.494175 0.494228 0.494282 0.494336 0.494389 0.494443 0.494496 0.494550
27.8 0.494603 0.494657 0.494710 0.494764 0.494817 0.494871 0.494924 0.494978 0.495031 0.495084
27.9 0.495138 0.495191 0.495244 0.495297 0.495351 0.495404 0.495457 0.495510 0.495564 0.495617
Logarithm Table for base 831 — N = 28.00–28.99
N.i 0 1 2 3 4 5 6 7 8 9
28.0 0.495670 0.495723 0.495776 0.495829 0.495882 0.495935 0.495988 0.496041 0.496094 0.496147
28.1 0.496200 0.496253 0.496306 0.496359 0.496412 0.496465 0.496517 0.496570 0.496623 0.496676
28.2 0.496729 0.496781 0.496834 0.496887 0.496939 0.496992 0.497045 0.497097 0.497150 0.497203
28.3 0.497255 0.497308 0.497360 0.497413 0.497465 0.497518 0.497570 0.497623 0.497675 0.497727
28.4 0.497780 0.497832 0.497884 0.497937 0.497989 0.498041 0.498094 0.498146 0.498198 0.498250
28.5 0.498303 0.498355 0.498407 0.498459 0.498511 0.498563 0.498615 0.498668 0.498720 0.498772
28.6 0.498824 0.498876 0.498928 0.498980 0.499032 0.499083 0.499135 0.499187 0.499239 0.499291
28.7 0.499343 0.499395 0.499446 0.499498 0.499550 0.499602 0.499654 0.499705 0.499757 0.499809
28.8 0.499860 0.499912 0.499964 0.500015 0.500067 0.500118 0.500170 0.500221 0.500273 0.500324
28.9 0.500376 0.500427 0.500479 0.500530 0.500582 0.500633 0.500684 0.500736 0.500787 0.500838
Logarithm Table for base 831 — N = 29.00–29.99
N.i 0 1 2 3 4 5 6 7 8 9
29.0 0.500890 0.500941 0.500992 0.501043 0.501095 0.501146 0.501197 0.501248 0.501299 0.501351
29.1 0.501402 0.501453 0.501504 0.501555 0.501606 0.501657 0.501708 0.501759 0.501810 0.501861
29.2 0.501912 0.501963 0.502014 0.502065 0.502116 0.502167 0.502217 0.502268 0.502319 0.502370
29.3 0.502421 0.502471 0.502522 0.502573 0.502624 0.502674 0.502725 0.502776 0.502826 0.502877
29.4 0.502927 0.502978 0.503029 0.503079 0.503130 0.503180 0.503231 0.503281 0.503332 0.503382
29.5 0.503432 0.503483 0.503533 0.503584 0.503634 0.503684 0.503735 0.503785 0.503835 0.503886
29.6 0.503936 0.503986 0.504036 0.504087 0.504137 0.504187 0.504237 0.504287 0.504337 0.504387
29.7 0.504438 0.504488 0.504538 0.504588 0.504638 0.504688 0.504738 0.504788 0.504838 0.504888
29.8 0.504938 0.504987 0.505037 0.505087 0.505137 0.505187 0.505237 0.505287 0.505336 0.505386
29.9 0.505436 0.505486 0.505535 0.505585 0.505635 0.505684 0.505734 0.505784 0.505833 0.505883
Logarithm Table for base 831 — N = 30.00–30.99
N.i 0 1 2 3 4 5 6 7 8 9
30.0 0.505933 0.505982 0.506032 0.506081 0.506131 0.506180 0.506230 0.506279 0.506329 0.506378
30.1 0.506428 0.506477 0.506526 0.506576 0.506625 0.506674 0.506724 0.506773 0.506822 0.506872
30.2 0.506921 0.506970 0.507019 0.507069 0.507118 0.507167 0.507216 0.507265 0.507314 0.507364
30.3 0.507413 0.507462 0.507511 0.507560 0.507609 0.507658 0.507707 0.507756 0.507805 0.507854
30.4 0.507903 0.507952 0.508001 0.508050 0.508098 0.508147 0.508196 0.508245 0.508294 0.508343
30.5 0.508391 0.508440 0.508489 0.508538 0.508586 0.508635 0.508684 0.508732 0.508781 0.508830
30.6 0.508878 0.508927 0.508975 0.509024 0.509073 0.509121 0.509170 0.509218 0.509267 0.509315
30.7 0.509364 0.509412 0.509460 0.509509 0.509557 0.509606 0.509654 0.509702 0.509751 0.509799
30.8 0.509847 0.509896 0.509944 0.509992 0.510040 0.510089 0.510137 0.510185 0.510233 0.510281
30.9 0.510329 0.510378 0.510426 0.510474 0.510522 0.510570 0.510618 0.510666 0.510714 0.510762
Logarithm Table for base 831 — N = 31.00–31.99
N.i 0 1 2 3 4 5 6 7 8 9
31.0 0.510810 0.510858 0.510906 0.510954 0.511002 0.511050 0.511098 0.511146 0.511193 0.511241
31.1 0.511289 0.511337 0.511385 0.511433 0.511480 0.511528 0.511576 0.511624 0.511671 0.511719
31.2 0.511767 0.511814 0.511862 0.511910 0.511957 0.512005 0.512052 0.512100 0.512148 0.512195
31.3 0.512243 0.512290 0.512338 0.512385 0.512433 0.512480 0.512528 0.512575 0.512622 0.512670
31.4 0.512717 0.512765 0.512812 0.512859 0.512907 0.512954 0.513001 0.513048 0.513096 0.513143
31.5 0.513190 0.513237 0.513285 0.513332 0.513379 0.513426 0.513473 0.513520 0.513567 0.513615
31.6 0.513662 0.513709 0.513756 0.513803 0.513850 0.513897 0.513944 0.513991 0.514038 0.514085
31.7 0.514132 0.514179 0.514225 0.514272 0.514319 0.514366 0.514413 0.514460 0.514507 0.514553
31.8 0.514600 0.514647 0.514694 0.514740 0.514787 0.514834 0.514881 0.514927 0.514974 0.515021
31.9 0.515067 0.515114 0.515160 0.515207 0.515254 0.515300 0.515347 0.515393 0.515440 0.515486
Logarithm Table for base 831 — N = 32.00–32.99
N.i 0 1 2 3 4 5 6 7 8 9
32.0 0.515533 0.515579 0.515626 0.515672 0.515719 0.515765 0.515811 0.515858 0.515904 0.515951
32.1 0.515997 0.516043 0.516090 0.516136 0.516182 0.516228 0.516275 0.516321 0.516367 0.516413
32.2 0.516460 0.516506 0.516552 0.516598 0.516644 0.516690 0.516736 0.516783 0.516829 0.516875
32.3 0.516921 0.516967 0.517013 0.517059 0.517105 0.517151 0.517197 0.517243 0.517289 0.517335
32.4 0.517381 0.517427 0.517472 0.517518 0.517564 0.517610 0.517656 0.517702 0.517747 0.517793
32.5 0.517839 0.517885 0.517931 0.517976 0.518022 0.518068 0.518113 0.518159 0.518205 0.518250
32.6 0.518296 0.518342 0.518387 0.518433 0.518478 0.518524 0.518570 0.518615 0.518661 0.518706
32.7 0.518752 0.518797 0.518843 0.518888 0.518933 0.518979 0.519024 0.519070 0.519115 0.519160
32.8 0.519206 0.519251 0.519296 0.519342 0.519387 0.519432 0.519478 0.519523 0.519568 0.519613
32.9 0.519659 0.519704 0.519749 0.519794 0.519839 0.519885 0.519930 0.519975 0.520020 0.520065
Logarithm Table for base 831 — N = 33.00–33.99
N.i 0 1 2 3 4 5 6 7 8 9
33.0 0.520110 0.520155 0.520200 0.520245 0.520290 0.520335 0.520380 0.520425 0.520470 0.520515
33.1 0.520560 0.520605 0.520650 0.520695 0.520740 0.520785 0.520830 0.520874 0.520919 0.520964
33.2 0.521009 0.521054 0.521098 0.521143 0.521188 0.521233 0.521277 0.521322 0.521367 0.521412
33.3 0.521456 0.521501 0.521546 0.521590 0.521635 0.521679 0.521724 0.521769 0.521813 0.521858
33.4 0.521902 0.521947 0.521991 0.522036 0.522080 0.522125 0.522169 0.522214 0.522258 0.522303
33.5 0.522347 0.522391 0.522436 0.522480 0.522524 0.522569 0.522613 0.522657 0.522702 0.522746
33.6 0.522790 0.522835 0.522879 0.522923 0.522967 0.523012 0.523056 0.523100 0.523144 0.523188
33.7 0.523232 0.523277 0.523321 0.523365 0.523409 0.523453 0.523497 0.523541 0.523585 0.523629
33.8 0.523673 0.523717 0.523761 0.523805 0.523849 0.523893 0.523937 0.523981 0.524025 0.524069
33.9 0.524113 0.524156 0.524200 0.524244 0.524288 0.524332 0.524376 0.524419 0.524463 0.524507
Logarithm Table for base 831 — N = 34.00–34.99
N.i 0 1 2 3 4 5 6 7 8 9
34.0 0.524551 0.524594 0.524638 0.524682 0.524726 0.524769 0.524813 0.524857 0.524900 0.524944
34.1 0.524988 0.525031 0.525075 0.525118 0.525162 0.525206 0.525249 0.525293 0.525336 0.525380
34.2 0.525423 0.525467 0.525510 0.525554 0.525597 0.525641 0.525684 0.525727 0.525771 0.525814
34.3 0.525858 0.525901 0.525944 0.525988 0.526031 0.526074 0.526117 0.526161 0.526204 0.526247
34.4 0.526291 0.526334 0.526377 0.526420 0.526463 0.526507 0.526550 0.526593 0.526636 0.526679
34.5 0.526722 0.526765 0.526809 0.526852 0.526895 0.526938 0.526981 0.527024 0.527067 0.527110
34.6 0.527153 0.527196 0.527239 0.527282 0.527325 0.527368 0.527411 0.527454 0.527496 0.527539
34.7 0.527582 0.527625 0.527668 0.527711 0.527754 0.527796 0.527839 0.527882 0.527925 0.527967
34.8 0.528010 0.528053 0.528096 0.528138 0.528181 0.528224 0.528266 0.528309 0.528352 0.528394
34.9 0.528437 0.528480 0.528522 0.528565 0.528607 0.528650 0.528693 0.528735 0.528778 0.528820
Logarithm Table for base 831 — N = 35.00–35.99
N.i 0 1 2 3 4 5 6 7 8 9
35.0 0.528863 0.528905 0.528948 0.528990 0.529033 0.529075 0.529117 0.529160 0.529202 0.529245
35.1 0.529287 0.529329 0.529372 0.529414 0.529457 0.529499 0.529541 0.529583 0.529626 0.529668
35.2 0.529710 0.529753 0.529795 0.529837 0.529879 0.529921 0.529964 0.530006 0.530048 0.530090
35.3 0.530132 0.530174 0.530217 0.530259 0.530301 0.530343 0.530385 0.530427 0.530469 0.530511
35.4 0.530553 0.530595 0.530637 0.530679 0.530721 0.530763 0.530805 0.530847 0.530889 0.530931
35.5 0.530973 0.531015 0.531056 0.531098 0.531140 0.531182 0.531224 0.531266 0.531308 0.531349
35.6 0.531391 0.531433 0.531475 0.531516 0.531558 0.531600 0.531642 0.531683 0.531725 0.531767
35.7 0.531808 0.531850 0.531892 0.531933 0.531975 0.532017 0.532058 0.532100 0.532141 0.532183
35.8 0.532224 0.532266 0.532308 0.532349 0.532391 0.532432 0.532474 0.532515 0.532556 0.532598
35.9 0.532639 0.532681 0.532722 0.532764 0.532805 0.532846 0.532888 0.532929 0.532970 0.533012
Logarithm Table for base 831 — N = 36.00–36.99
N.i 0 1 2 3 4 5 6 7 8 9
36.0 0.533053 0.533094 0.533136 0.533177 0.533218 0.533260 0.533301 0.533342 0.533383 0.533425
36.1 0.533466 0.533507 0.533548 0.533589 0.533630 0.533672 0.533713 0.533754 0.533795 0.533836
36.2 0.533877 0.533918 0.533959 0.534000 0.534042 0.534083 0.534124 0.534165 0.534206 0.534247
36.3 0.534288 0.534329 0.534370 0.534410 0.534451 0.534492 0.534533 0.534574 0.534615 0.534656
36.4 0.534697 0.534738 0.534779 0.534819 0.534860 0.534901 0.534942 0.534983 0.535023 0.535064
36.5 0.535105 0.535146 0.535186 0.535227 0.535268 0.535309 0.535349 0.535390 0.535431 0.535471
36.6 0.535512 0.535553 0.535593 0.535634 0.535674 0.535715 0.535756 0.535796 0.535837 0.535877
36.7 0.535918 0.535958 0.535999 0.536039 0.536080 0.536120 0.536161 0.536201 0.536242 0.536282
36.8 0.536323 0.536363 0.536403 0.536444 0.536484 0.536525 0.536565 0.536605 0.536646 0.536686
36.9 0.536726 0.536767 0.536807 0.536847 0.536887 0.536928 0.536968 0.537008 0.537048 0.537089
Logarithm Table for base 831 — N = 37.00–37.99
N.i 0 1 2 3 4 5 6 7 8 9
37.0 0.537129 0.537169 0.537209 0.537249 0.537290 0.537330 0.537370 0.537410 0.537450 0.537490
37.1 0.537530 0.537570 0.537610 0.537650 0.537691 0.537731 0.537771 0.537811 0.537851 0.537891
37.2 0.537931 0.537971 0.538011 0.538051 0.538091 0.538130 0.538170 0.538210 0.538250 0.538290
37.3 0.538330 0.538370 0.538410 0.538450 0.538489 0.538529 0.538569 0.538609 0.538649 0.538688
37.4 0.538728 0.538768 0.538808 0.538848 0.538887 0.538927 0.538967 0.539006 0.539046 0.539086
37.5 0.539125 0.539165 0.539205 0.539244 0.539284 0.539324 0.539363 0.539403 0.539442 0.539482
37.6 0.539522 0.539561 0.539601 0.539640 0.539680 0.539719 0.539759 0.539798 0.539838 0.539877
37.7 0.539917 0.539956 0.539996 0.540035 0.540074 0.540114 0.540153 0.540193 0.540232 0.540271
37.8 0.540311 0.540350 0.540389 0.540429 0.540468 0.540507 0.540547 0.540586 0.540625 0.540664
37.9 0.540704 0.540743 0.540782 0.540821 0.540861 0.540900 0.540939 0.540978 0.541017 0.541057
Logarithm Table for base 831 — N = 38.00–38.99
N.i 0 1 2 3 4 5 6 7 8 9
38.0 0.541096 0.541135 0.541174 0.541213 0.541252 0.541291 0.541330 0.541369 0.541409 0.541448
38.1 0.541487 0.541526 0.541565 0.541604 0.541643 0.541682 0.541721 0.541760 0.541799 0.541838
38.2 0.541877 0.541915 0.541954 0.541993 0.542032 0.542071 0.542110 0.542149 0.542188 0.542227
38.3 0.542265 0.542304 0.542343 0.542382 0.542421 0.542460 0.542498 0.542537 0.542576 0.542615
38.4 0.542653 0.542692 0.542731 0.542769 0.542808 0.542847 0.542886 0.542924 0.542963 0.543002
38.5 0.543040 0.543079 0.543117 0.543156 0.543195 0.543233 0.543272 0.543310 0.543349 0.543388
38.6 0.543426 0.543465 0.543503 0.543542 0.543580 0.543619 0.543657 0.543696 0.543734 0.543772
38.7 0.543811 0.543849 0.543888 0.543926 0.543965 0.544003 0.544041 0.544080 0.544118 0.544156
38.8 0.544195 0.544233 0.544271 0.544310 0.544348 0.544386 0.544425 0.544463 0.544501 0.544539
38.9 0.544578 0.544616 0.544654 0.544692 0.544731 0.544769 0.544807 0.544845 0.544883 0.544921
Logarithm Table for base 831 — N = 39.00–39.99
N.i 0 1 2 3 4 5 6 7 8 9
39.0 0.544960 0.544998 0.545036 0.545074 0.545112 0.545150 0.545188 0.545226 0.545264 0.545302
39.1 0.545341 0.545379 0.545417 0.545455 0.545493 0.545531 0.545569 0.545607 0.545645 0.545683
39.2 0.545720 0.545758 0.545796 0.545834 0.545872 0.545910 0.545948 0.545986 0.546024 0.546062
39.3 0.546099 0.546137 0.546175 0.546213 0.546251 0.546289 0.546326 0.546364 0.546402 0.546440
39.4 0.546477 0.546515 0.546553 0.546591 0.546628 0.546666 0.546704 0.546742 0.546779 0.546817
39.5 0.546855 0.546892 0.546930 0.546967 0.547005 0.547043 0.547080 0.547118 0.547156 0.547193
39.6 0.547231 0.547268 0.547306 0.547343 0.547381 0.547418 0.547456 0.547493 0.547531 0.547568
39.7 0.547606 0.547643 0.547681 0.547718 0.547756 0.547793 0.547830 0.547868 0.547905 0.547943
39.8 0.547980 0.548017 0.548055 0.548092 0.548129 0.548167 0.548204 0.548241 0.548279 0.548316
39.9 0.548353 0.548391 0.548428 0.548465 0.548502 0.548540 0.548577 0.548614 0.548651 0.548688
Logarithm Table for base 831 — N = 40.00–40.99
N.i 0 1 2 3 4 5 6 7 8 9
40.0 0.548726 0.548763 0.548800 0.548837 0.548874 0.548911 0.548949 0.548986 0.549023 0.549060
40.1 0.549097 0.549134 0.549171 0.549208 0.549245 0.549282 0.549319 0.549357 0.549394 0.549431
40.2 0.549468 0.549505 0.549542 0.549579 0.549615 0.549652 0.549689 0.549726 0.549763 0.549800
40.3 0.549837 0.549874 0.549911 0.549948 0.549985 0.550022 0.550058 0.550095 0.550132 0.550169
40.4 0.550206 0.550243 0.550279 0.550316 0.550353 0.550390 0.550427 0.550463 0.550500 0.550537
40.5 0.550574 0.550610 0.550647 0.550684 0.550720 0.550757 0.550794 0.550830 0.550867 0.550904
40.6 0.550940 0.550977 0.551014 0.551050 0.551087 0.551123 0.551160 0.551197 0.551233 0.551270
40.7 0.551306 0.551343 0.551379 0.551416 0.551452 0.551489 0.551525 0.551562 0.551598 0.551635
40.8 0.551671 0.551708 0.551744 0.551781 0.551817 0.551854 0.551890 0.551926 0.551963 0.551999
40.9 0.552035 0.552072 0.552108 0.552145 0.552181 0.552217 0.552254 0.552290 0.552326 0.552362
Logarithm Table for base 831 — N = 41.00–41.99
N.i 0 1 2 3 4 5 6 7 8 9
41.0 0.552399 0.552435 0.552471 0.552508 0.552544 0.552580 0.552616 0.552652 0.552689 0.552725
41.1 0.552761 0.552797 0.552833 0.552870 0.552906 0.552942 0.552978 0.553014 0.553050 0.553086
41.2 0.553123 0.553159 0.553195 0.553231 0.553267 0.553303 0.553339 0.553375 0.553411 0.553447
41.3 0.553483 0.553519 0.553555 0.553591 0.553627 0.553663 0.553699 0.553735 0.553771 0.553807
41.4 0.553843 0.553879 0.553915 0.553951 0.553987 0.554022 0.554058 0.554094 0.554130 0.554166
41.5 0.554202 0.554238 0.554273 0.554309 0.554345 0.554381 0.554417 0.554452 0.554488 0.554524
41.6 0.554560 0.554596 0.554631 0.554667 0.554703 0.554738 0.554774 0.554810 0.554846 0.554881
41.7 0.554917 0.554953 0.554988 0.555024 0.555060 0.555095 0.555131 0.555166 0.555202 0.555238
41.8 0.555273 0.555309 0.555344 0.555380 0.555416 0.555451 0.555487 0.555522 0.555558 0.555593
41.9 0.555629 0.555664 0.555700 0.555735 0.555771 0.555806 0.555842 0.555877 0.555912 0.555948
Logarithm Table for base 831 — N = 42.00–42.99
N.i 0 1 2 3 4 5 6 7 8 9
42.0 0.555983 0.556019 0.556054 0.556089 0.556125 0.556160 0.556196 0.556231 0.556266 0.556302
42.1 0.556337 0.556372 0.556408 0.556443 0.556478 0.556514 0.556549 0.556584 0.556619 0.556655
42.2 0.556690 0.556725 0.556760 0.556796 0.556831 0.556866 0.556901 0.556936 0.556972 0.557007
42.3 0.557042 0.557077 0.557112 0.557147 0.557183 0.557218 0.557253 0.557288 0.557323 0.557358
42.4 0.557393 0.557428 0.557463 0.557498 0.557533 0.557569 0.557604 0.557639 0.557674 0.557709
42.5 0.557744 0.557779 0.557814 0.557849 0.557884 0.557919 0.557954 0.557988 0.558023 0.558058
42.6 0.558093 0.558128 0.558163 0.558198 0.558233 0.558268 0.558303 0.558337 0.558372 0.558407
42.7 0.558442 0.558477 0.558512 0.558546 0.558581 0.558616 0.558651 0.558686 0.558720 0.558755
42.8 0.558790 0.558825 0.558859 0.558894 0.558929 0.558964 0.558998 0.559033 0.559068 0.559102
42.9 0.559137 0.559172 0.559206 0.559241 0.559276 0.559310 0.559345 0.559380 0.559414 0.559449
Logarithm Table for base 831 — N = 43.00–43.99
N.i 0 1 2 3 4 5 6 7 8 9
43.0 0.559483 0.559518 0.559553 0.559587 0.559622 0.559656 0.559691 0.559725 0.559760 0.559794
43.1 0.559829 0.559863 0.559898 0.559932 0.559967 0.560001 0.560036 0.560070 0.560105 0.560139
43.2 0.560174 0.560208 0.560243 0.560277 0.560311 0.560346 0.560380 0.560415 0.560449 0.560483
43.3 0.560518 0.560552 0.560586 0.560621 0.560655 0.560689 0.560724 0.560758 0.560792 0.560827
43.4 0.560861 0.560895 0.560929 0.560964 0.560998 0.561032 0.561066 0.561101 0.561135 0.561169
43.5 0.561203 0.561237 0.561272 0.561306 0.561340 0.561374 0.561408 0.561442 0.561476 0.561511
43.6 0.561545 0.561579 0.561613 0.561647 0.561681 0.561715 0.561749 0.561783 0.561817 0.561851
43.7 0.561885 0.561920 0.561954 0.561988 0.562022 0.562056 0.562090 0.562124 0.562158 0.562192
43.8 0.562225 0.562259 0.562293 0.562327 0.562361 0.562395 0.562429 0.562463 0.562497 0.562531
43.9 0.562565 0.562599 0.562632 0.562666 0.562700 0.562734 0.562768 0.562802 0.562836 0.562869
Logarithm Table for base 831 — N = 44.00–44.99
N.i 0 1 2 3 4 5 6 7 8 9
44.0 0.562903 0.562937 0.562971 0.563005 0.563038 0.563072 0.563106 0.563140 0.563173 0.563207
44.1 0.563241 0.563275 0.563308 0.563342 0.563376 0.563409 0.563443 0.563477 0.563510 0.563544
44.2 0.563578 0.563611 0.563645 0.563679 0.563712 0.563746 0.563780 0.563813 0.563847 0.563880
44.3 0.563914 0.563948 0.563981 0.564015 0.564048 0.564082 0.564115 0.564149 0.564182 0.564216
44.4 0.564249 0.564283 0.564316 0.564350 0.564383 0.564417 0.564450 0.564484 0.564517 0.564551
44.5 0.564584 0.564617 0.564651 0.564684 0.564718 0.564751 0.564784 0.564818 0.564851 0.564885
44.6 0.564918 0.564951 0.564985 0.565018 0.565051 0.565085 0.565118 0.565151 0.565184 0.565218
44.7 0.565251 0.565284 0.565318 0.565351 0.565384 0.565417 0.565451 0.565484 0.565517 0.565550
44.8 0.565583 0.565617 0.565650 0.565683 0.565716 0.565749 0.565783 0.565816 0.565849 0.565882
44.9 0.565915 0.565948 0.565981 0.566014 0.566048 0.566081 0.566114 0.566147 0.566180 0.566213
Logarithm Table for base 831 — N = 45.00–45.99
N.i 0 1 2 3 4 5 6 7 8 9
45.0 0.566246 0.566279 0.566312 0.566345 0.566378 0.566411 0.566444 0.566477 0.566510 0.566543
45.1 0.566576 0.566609 0.566642 0.566675 0.566708 0.566741 0.566774 0.566807 0.566840 0.566873
45.2 0.566906 0.566939 0.566971 0.567004 0.567037 0.567070 0.567103 0.567136 0.567169 0.567202
45.3 0.567234 0.567267 0.567300 0.567333 0.567366 0.567399 0.567431 0.567464 0.567497 0.567530
45.4 0.567562 0.567595 0.567628 0.567661 0.567693 0.567726 0.567759 0.567792 0.567824 0.567857
45.5 0.567890 0.567922 0.567955 0.567988 0.568020 0.568053 0.568086 0.568118 0.568151 0.568184
45.6 0.568216 0.568249 0.568282 0.568314 0.568347 0.568379 0.568412 0.568444 0.568477 0.568510
45.7 0.568542 0.568575 0.568607 0.568640 0.568672 0.568705 0.568737 0.568770 0.568802 0.568835
45.8 0.568867 0.568900 0.568932 0.568965 0.568997 0.569030 0.569062 0.569094 0.569127 0.569159
45.9 0.569192 0.569224 0.569257 0.569289 0.569321 0.569354 0.569386 0.569418 0.569451 0.569483
Logarithm Table for base 831 — N = 46.00–46.99
N.i 0 1 2 3 4 5 6 7 8 9
46.0 0.569515 0.569548 0.569580 0.569612 0.569645 0.569677 0.569709 0.569742 0.569774 0.569806
46.1 0.569838 0.569871 0.569903 0.569935 0.569967 0.570000 0.570032 0.570064 0.570096 0.570129
46.2 0.570161 0.570193 0.570225 0.570257 0.570290 0.570322 0.570354 0.570386 0.570418 0.570450
46.3 0.570482 0.570515 0.570547 0.570579 0.570611 0.570643 0.570675 0.570707 0.570739 0.570771
46.4 0.570803 0.570835 0.570867 0.570899 0.570932 0.570964 0.570996 0.571028 0.571060 0.571092
46.5 0.571124 0.571156 0.571188 0.571220 0.571251 0.571283 0.571315 0.571347 0.571379 0.571411
46.6 0.571443 0.571475 0.571507 0.571539 0.571571 0.571603 0.571635 0.571666 0.571698 0.571730
46.7 0.571762 0.571794 0.571826 0.571858 0.571889 0.571921 0.571953 0.571985 0.572017 0.572048
46.8 0.572080 0.572112 0.572144 0.572175 0.572207 0.572239 0.572271 0.572302 0.572334 0.572366
46.9 0.572398 0.572429 0.572461 0.572493 0.572524 0.572556 0.572588 0.572620 0.572651 0.572683
Logarithm Table for base 831 — N = 47.00–47.99
N.i 0 1 2 3 4 5 6 7 8 9
47.0 0.572715 0.572746 0.572778 0.572809 0.572841 0.572873 0.572904 0.572936 0.572967 0.572999
47.1 0.573031 0.573062 0.573094 0.573125 0.573157 0.573188 0.573220 0.573252 0.573283 0.573315
47.2 0.573346 0.573378 0.573409 0.573441 0.573472 0.573504 0.573535 0.573567 0.573598 0.573630
47.3 0.573661 0.573692 0.573724 0.573755 0.573787 0.573818 0.573850 0.573881 0.573912 0.573944
47.4 0.573975 0.574006 0.574038 0.574069 0.574101 0.574132 0.574163 0.574195 0.574226 0.574257
47.5 0.574289 0.574320 0.574351 0.574383 0.574414 0.574445 0.574476 0.574508 0.574539 0.574570
47.6 0.574601 0.574633 0.574664 0.574695 0.574726 0.574758 0.574789 0.574820 0.574851 0.574882
47.7 0.574914 0.574945 0.574976 0.575007 0.575038 0.575069 0.575101 0.575132 0.575163 0.575194
47.8 0.575225 0.575256 0.575287 0.575318 0.575350 0.575381 0.575412 0.575443 0.575474 0.575505
47.9 0.575536 0.575567 0.575598 0.575629 0.575660 0.575691 0.575722 0.575753 0.575784 0.575815
Logarithm Table for base 831 — N = 48.00–48.99
N.i 0 1 2 3 4 5 6 7 8 9
48.0 0.575846 0.575877 0.575908 0.575939 0.575970 0.576001 0.576032 0.576063 0.576094 0.576125
48.1 0.576156 0.576187 0.576218 0.576249 0.576279 0.576310 0.576341 0.576372 0.576403 0.576434
48.2 0.576465 0.576496 0.576526 0.576557 0.576588 0.576619 0.576650 0.576681 0.576711 0.576742
48.3 0.576773 0.576804 0.576835 0.576865 0.576896 0.576927 0.576958 0.576988 0.577019 0.577050
48.4 0.577081 0.577111 0.577142 0.577173 0.577204 0.577234 0.577265 0.577296 0.577326 0.577357
48.5 0.577388 0.577418 0.577449 0.577480 0.577510 0.577541 0.577572 0.577602 0.577633 0.577663
48.6 0.577694 0.577725 0.577755 0.577786 0.577816 0.577847 0.577878 0.577908 0.577939 0.577969
48.7 0.578000 0.578030 0.578061 0.578091 0.578122 0.578152 0.578183 0.578214 0.578244 0.578274
48.8 0.578305 0.578335 0.578366 0.578396 0.578427 0.578457 0.578488 0.578518 0.578549 0.578579
48.9 0.578609 0.578640 0.578670 0.578701 0.578731 0.578762 0.578792 0.578822 0.578853 0.578883
Logarithm Table for base 831 — N = 49.00–49.99
N.i 0 1 2 3 4 5 6 7 8 9
49.0 0.578913 0.578944 0.578974 0.579004 0.579035 0.579065 0.579095 0.579126 0.579156 0.579186
49.1 0.579217 0.579247 0.579277 0.579307 0.579338 0.579368 0.579398 0.579429 0.579459 0.579489
49.2 0.579519 0.579550 0.579580 0.579610 0.579640 0.579670 0.579701 0.579731 0.579761 0.579791
49.3 0.579821 0.579851 0.579882 0.579912 0.579942 0.579972 0.580002 0.580032 0.580063 0.580093
49.4 0.580123 0.580153 0.580183 0.580213 0.580243 0.580273 0.580303 0.580333 0.580363 0.580393
49.5 0.580424 0.580454 0.580484 0.580514 0.580544 0.580574 0.580604 0.580634 0.580664 0.580694
49.6 0.580724 0.580754 0.580784 0.580814 0.580844 0.580874 0.580904 0.580934 0.580963 0.580993
49.7 0.581023 0.581053 0.581083 0.581113 0.581143 0.581173 0.581203 0.581233 0.581263 0.581292
49.8 0.581322 0.581352 0.581382 0.581412 0.581442 0.581472 0.581501 0.581531 0.581561 0.581591
49.9 0.581621 0.581651 0.581680 0.581710 0.581740 0.581770 0.581800 0.581829 0.581859 0.581889
Logarithm Table for base 831 — N = 50.00–50.99
N.i 0 1 2 3 4 5 6 7 8 9
50.0 0.581919 0.581948 0.581978 0.582008 0.582038 0.582067 0.582097 0.582127 0.582156 0.582186
50.1 0.582216 0.582245 0.582275 0.582305 0.582334 0.582364 0.582394 0.582423 0.582453 0.582483
50.2 0.582512 0.582542 0.582572 0.582601 0.582631 0.582660 0.582690 0.582720 0.582749 0.582779
50.3 0.582808 0.582838 0.582868 0.582897 0.582927 0.582956 0.582986 0.583015 0.583045 0.583074
50.4 0.583104 0.583133 0.583163 0.583192 0.583222 0.583251 0.583281 0.583310 0.583340 0.583369
50.5 0.583399 0.583428 0.583458 0.583487 0.583516 0.583546 0.583575 0.583605 0.583634 0.583664
50.6 0.583693 0.583722 0.583752 0.583781 0.583810 0.583840 0.583869 0.583899 0.583928 0.583957
50.7 0.583987 0.584016 0.584045 0.584075 0.584104 0.584133 0.584163 0.584192 0.584221 0.584250
50.8 0.584280 0.584309 0.584338 0.584368 0.584397 0.584426 0.584455 0.584485 0.584514 0.584543
50.9 0.584572 0.584601 0.584631 0.584660 0.584689 0.584718 0.584748 0.584777 0.584806 0.584835
Logarithm Table for base 831 — N = 51.00–51.99
N.i 0 1 2 3 4 5 6 7 8 9
51.0 0.584864 0.584893 0.584923 0.584952 0.584981 0.585010 0.585039 0.585068 0.585097 0.585126
51.1 0.585156 0.585185 0.585214 0.585243 0.585272 0.585301 0.585330 0.585359 0.585388 0.585417
51.2 0.585446 0.585475 0.585505 0.585534 0.585563 0.585592 0.585621 0.585650 0.585679 0.585708
51.3 0.585737 0.585766 0.585795 0.585824 0.585853 0.585882 0.585911 0.585940 0.585968 0.585997
51.4 0.586026 0.586055 0.586084 0.586113 0.586142 0.586171 0.586200 0.586229 0.586258 0.586287
51.5 0.586315 0.586344 0.586373 0.586402 0.586431 0.586460 0.586489 0.586518 0.586546 0.586575
51.6 0.586604 0.586633 0.586662 0.586690 0.586719 0.586748 0.586777 0.586806 0.586834 0.586863
51.7 0.586892 0.586921 0.586950 0.586978 0.587007 0.587036 0.587065 0.587093 0.587122 0.587151
51.8 0.587179 0.587208 0.587237 0.587266 0.587294 0.587323 0.587352 0.587380 0.587409 0.587438
51.9 0.587466 0.587495 0.587524 0.587552 0.587581 0.587610 0.587638 0.587667 0.587695 0.587724
Logarithm Table for base 831 — N = 52.00–52.99
N.i 0 1 2 3 4 5 6 7 8 9
52.0 0.587753 0.587781 0.587810 0.587838 0.587867 0.587896 0.587924 0.587953 0.587981 0.588010
52.1 0.588038 0.588067 0.588096 0.588124 0.588153 0.588181 0.588210 0.588238 0.588267 0.588295
52.2 0.588324 0.588352 0.588381 0.588409 0.588438 0.588466 0.588495 0.588523 0.588552 0.588580
52.3 0.588608 0.588637 0.588665 0.588694 0.588722 0.588751 0.588779 0.588807 0.588836 0.588864
52.4 0.588893 0.588921 0.588949 0.588978 0.589006 0.589034 0.589063 0.589091 0.589119 0.589148
52.5 0.589176 0.589204 0.589233 0.589261 0.589289 0.589318 0.589346 0.589374 0.589403 0.589431
52.6 0.589459 0.589487 0.589516 0.589544 0.589572 0.589601 0.589629 0.589657 0.589685 0.589714
52.7 0.589742 0.589770 0.589798 0.589826 0.589855 0.589883 0.589911 0.589939 0.589967 0.589996
52.8 0.590024 0.590052 0.590080 0.590108 0.590136 0.590165 0.590193 0.590221 0.590249 0.590277
52.9 0.590305 0.590333 0.590361 0.590390 0.590418 0.590446 0.590474 0.590502 0.590530 0.590558
Logarithm Table for base 831 — N = 53.00–53.99
N.i 0 1 2 3 4 5 6 7 8 9
53.0 0.590586 0.590614 0.590642 0.590670 0.590698 0.590726 0.590754 0.590782 0.590810 0.590839
53.1 0.590867 0.590895 0.590923 0.590951 0.590979 0.591007 0.591035 0.591062 0.591090 0.591118
53.2 0.591146 0.591174 0.591202 0.591230 0.591258 0.591286 0.591314 0.591342 0.591370 0.591398
53.3 0.591426 0.591454 0.591482 0.591509 0.591537 0.591565 0.591593 0.591621 0.591649 0.591677
53.4 0.591705 0.591732 0.591760 0.591788 0.591816 0.591844 0.591872 0.591899 0.591927 0.591955
53.5 0.591983 0.592011 0.592038 0.592066 0.592094 0.592122 0.592150 0.592177 0.592205 0.592233
53.6 0.592261 0.592288 0.592316 0.592344 0.592372 0.592399 0.592427 0.592455 0.592482 0.592510
53.7 0.592538 0.592566 0.592593 0.592621 0.592649 0.592676 0.592704 0.592732 0.592759 0.592787
53.8 0.592815 0.592842 0.592870 0.592898 0.592925 0.592953 0.592980 0.593008 0.593036 0.593063
53.9 0.593091 0.593118 0.593146 0.593174 0.593201 0.593229 0.593256 0.593284 0.593312 0.593339
Logarithm Table for base 831 — N = 54.00–54.99
N.i 0 1 2 3 4 5 6 7 8 9
54.0 0.593367 0.593394 0.593422 0.593449 0.593477 0.593504 0.593532 0.593559 0.593587 0.593614
54.1 0.593642 0.593669 0.593697 0.593724 0.593752 0.593779 0.593807 0.593834 0.593862 0.593889
54.2 0.593917 0.593944 0.593971 0.593999 0.594026 0.594054 0.594081 0.594109 0.594136 0.594163
54.3 0.594191 0.594218 0.594245 0.594273 0.594300 0.594328 0.594355 0.594382 0.594410 0.594437
54.4 0.594464 0.594492 0.594519 0.594546 0.594574 0.594601 0.594628 0.594656 0.594683 0.594710
54.5 0.594738 0.594765 0.594792 0.594819 0.594847 0.594874 0.594901 0.594929 0.594956 0.594983
54.6 0.595010 0.595038 0.595065 0.595092 0.595119 0.595146 0.595174 0.595201 0.595228 0.595255
54.7 0.595282 0.595310 0.595337 0.595364 0.595391 0.595418 0.595446 0.595473 0.595500 0.595527
54.8 0.595554 0.595581 0.595608 0.595636 0.595663 0.595690 0.595717 0.595744 0.595771 0.595798
54.9 0.595825 0.595852 0.595880 0.595907 0.595934 0.595961 0.595988 0.596015 0.596042 0.596069
Logarithm Table for base 831 — N = 55.00–55.99
N.i 0 1 2 3 4 5 6 7 8 9
55.0 0.596096 0.596123 0.596150 0.596177 0.596204 0.596231 0.596258 0.596285 0.596312 0.596339
55.1 0.596366 0.596393 0.596420 0.596447 0.596474 0.596501 0.596528 0.596555 0.596582 0.596609
55.2 0.596636 0.596663 0.596690 0.596717 0.596744 0.596771 0.596798 0.596825 0.596851 0.596878
55.3 0.596905 0.596932 0.596959 0.596986 0.597013 0.597040 0.597067 0.597093 0.597120 0.597147
55.4 0.597174 0.597201 0.597228 0.597255 0.597281 0.597308 0.597335 0.597362 0.597389 0.597415
55.5 0.597442 0.597469 0.597496 0.597523 0.597549 0.597576 0.597603 0.597630 0.597657 0.597683
55.6 0.597710 0.597737 0.597764 0.597790 0.597817 0.597844 0.597870 0.597897 0.597924 0.597951
55.7 0.597977 0.598004 0.598031 0.598057 0.598084 0.598111 0.598137 0.598164 0.598191 0.598217
55.8 0.598244 0.598271 0.598297 0.598324 0.598351 0.598377 0.598404 0.598431 0.598457 0.598484
55.9 0.598510 0.598537 0.598564 0.598590 0.598617 0.598643 0.598670 0.598697 0.598723 0.598750
Logarithm Table for base 831 — N = 56.00–56.99
N.i 0 1 2 3 4 5 6 7 8 9
56.0 0.598776 0.598803 0.598829 0.598856 0.598883 0.598909 0.598936 0.598962 0.598989 0.599015
56.1 0.599042 0.599068 0.599095 0.599121 0.599148 0.599174 0.599201 0.599227 0.599254 0.599280
56.2 0.599307 0.599333 0.599360 0.599386 0.599412 0.599439 0.599465 0.599492 0.599518 0.599545
56.3 0.599571 0.599598 0.599624 0.599650 0.599677 0.599703 0.599730 0.599756 0.599782 0.599809
56.4 0.599835 0.599861 0.599888 0.599914 0.599941 0.599967 0.599993 0.600020 0.600046 0.600072
56.5 0.600099 0.600125 0.600151 0.600178 0.600204 0.600230 0.600256 0.600283 0.600309 0.600335
56.6 0.600362 0.600388 0.600414 0.600440 0.600467 0.600493 0.600519 0.600545 0.600572 0.600598
56.7 0.600624 0.600650 0.600677 0.600703 0.600729 0.600755 0.600782 0.600808 0.600834 0.600860
56.8 0.600886 0.600913 0.600939 0.600965 0.600991 0.601017 0.601043 0.601070 0.601096 0.601122
56.9 0.601148 0.601174 0.601200 0.601226 0.601253 0.601279 0.601305 0.601331 0.601357 0.601383
Logarithm Table for base 831 — N = 57.00–57.99
N.i 0 1 2 3 4 5 6 7 8 9
57.0 0.601409 0.601435 0.601461 0.601487 0.601514 0.601540 0.601566 0.601592 0.601618 0.601644
57.1 0.601670 0.601696 0.601722 0.601748 0.601774 0.601800 0.601826 0.601852 0.601878 0.601904
57.2 0.601930 0.601956 0.601982 0.602008 0.602034 0.602060 0.602086 0.602112 0.602138 0.602164
57.3 0.602190 0.602216 0.602242 0.602268 0.602294 0.602320 0.602346 0.602372 0.602398 0.602423
57.4 0.602449 0.602475 0.602501 0.602527 0.602553 0.602579 0.602605 0.602631 0.602657 0.602682
57.5 0.602708 0.602734 0.602760 0.602786 0.602812 0.602838 0.602863 0.602889 0.602915 0.602941
57.6 0.602967 0.602993 0.603018 0.603044 0.603070 0.603096 0.603122 0.603147 0.603173 0.603199
57.7 0.603225 0.603251 0.603276 0.603302 0.603328 0.603354 0.603379 0.603405 0.603431 0.603457
57.8 0.603482 0.603508 0.603534 0.603560 0.603585 0.603611 0.603637 0.603662 0.603688 0.603714
57.9 0.603740 0.603765 0.603791 0.603817 0.603842 0.603868 0.603894 0.603919 0.603945 0.603971
Logarithm Table for base 831 — N = 58.00–58.99
N.i 0 1 2 3 4 5 6 7 8 9
58.0 0.603996 0.604022 0.604048 0.604073 0.604099 0.604124 0.604150 0.604176 0.604201 0.604227
58.1 0.604252 0.604278 0.604304 0.604329 0.604355 0.604380 0.604406 0.604432 0.604457 0.604483
58.2 0.604508 0.604534 0.604559 0.604585 0.604610 0.604636 0.604662 0.604687 0.604713 0.604738
58.3 0.604764 0.604789 0.604815 0.604840 0.604866 0.604891 0.604917 0.604942 0.604968 0.604993
58.4 0.605019 0.605044 0.605070 0.605095 0.605120 0.605146 0.605171 0.605197 0.605222 0.605248
58.5 0.605273 0.605298 0.605324 0.605349 0.605375 0.605400 0.605426 0.605451 0.605476 0.605502
58.6 0.605527 0.605553 0.605578 0.605603 0.605629 0.605654 0.605679 0.605705 0.605730 0.605755
58.7 0.605781 0.605806 0.605831 0.605857 0.605882 0.605907 0.605933 0.605958 0.605983 0.606009
58.8 0.606034 0.606059 0.606085 0.606110 0.606135 0.606160 0.606186 0.606211 0.606236 0.606261
58.9 0.606287 0.606312 0.606337 0.606362 0.606388 0.606413 0.606438 0.606463 0.606489 0.606514
Logarithm Table for base 831 — N = 59.00–59.99
N.i 0 1 2 3 4 5 6 7 8 9
59.0 0.606539 0.606564 0.606589 0.606615 0.606640 0.606665 0.606690 0.606715 0.606741 0.606766
59.1 0.606791 0.606816 0.606841 0.606866 0.606892 0.606917 0.606942 0.606967 0.606992 0.607017
59.2 0.607042 0.607068 0.607093 0.607118 0.607143 0.607168 0.607193 0.607218 0.607243 0.607268
59.3 0.607293 0.607319 0.607344 0.607369 0.607394 0.607419 0.607444 0.607469 0.607494 0.607519
59.4 0.607544 0.607569 0.607594 0.607619 0.607644 0.607669 0.607694 0.607719 0.607744 0.607769
59.5 0.607794 0.607819 0.607844 0.607869 0.607894 0.607919 0.607944 0.607969 0.607994 0.608019
59.6 0.608044 0.608069 0.608094 0.608119 0.608144 0.608169 0.608194 0.608219 0.608244 0.608269
59.7 0.608294 0.608318 0.608343 0.608368 0.608393 0.608418 0.608443 0.608468 0.608493 0.608518
59.8 0.608542 0.608567 0.608592 0.608617 0.608642 0.608667 0.608692 0.608716 0.608741 0.608766
59.9 0.608791 0.608816 0.608841 0.608865 0.608890 0.608915 0.608940 0.608965 0.608990 0.609014
Logarithm Table for base 831 — N = 60.00–60.99
N.i 0 1 2 3 4 5 6 7 8 9
60.0 0.609039 0.609064 0.609089 0.609113 0.609138 0.609163 0.609188 0.609213 0.609237 0.609262
60.1 0.609287 0.609312 0.609336 0.609361 0.609386 0.609411 0.609435 0.609460 0.609485 0.609509
60.2 0.609534 0.609559 0.609584 0.609608 0.609633 0.609658 0.609682 0.609707 0.609732 0.609756
60.3 0.609781 0.609806 0.609830 0.609855 0.609880 0.609904 0.609929 0.609954 0.609978 0.610003
60.4 0.610028 0.610052 0.610077 0.610101 0.610126 0.610151 0.610175 0.610200 0.610224 0.610249
60.5 0.610274 0.610298 0.610323 0.610347 0.610372 0.610396 0.610421 0.610446 0.610470 0.610495
60.6 0.610519 0.610544 0.610568 0.610593 0.610617 0.610642 0.610666 0.610691 0.610715 0.610740
60.7 0.610765 0.610789 0.610814 0.610838 0.610863 0.610887 0.610911 0.610936 0.610960 0.610985
60.8 0.611009 0.611034 0.611058 0.611083 0.611107 0.611132 0.611156 0.611181 0.611205 0.611229
60.9 0.611254 0.611278 0.611303 0.611327 0.611351 0.611376 0.611400 0.611425 0.611449 0.611473
Logarithm Table for base 831 — N = 61.00–61.99
N.i 0 1 2 3 4 5 6 7 8 9
61.0 0.611498 0.611522 0.611547 0.611571 0.611595 0.611620 0.611644 0.611668 0.611693 0.611717
61.1 0.611742 0.611766 0.611790 0.611815 0.611839 0.611863 0.611888 0.611912 0.611936 0.611960
61.2 0.611985 0.612009 0.612033 0.612058 0.612082 0.612106 0.612131 0.612155 0.612179 0.612203
61.3 0.612228 0.612252 0.612276 0.612300 0.612325 0.612349 0.612373 0.612397 0.612422 0.612446
61.4 0.612470 0.612494 0.612519 0.612543 0.612567 0.612591 0.612615 0.612640 0.612664 0.612688
61.5 0.612712 0.612736 0.612761 0.612785 0.612809 0.612833 0.612857 0.612881 0.612906 0.612930
61.6 0.612954 0.612978 0.613002 0.613026 0.613050 0.613075 0.613099 0.613123 0.613147 0.613171
61.7 0.613195 0.613219 0.613243 0.613267 0.613292 0.613316 0.613340 0.613364 0.613388 0.613412
61.8 0.613436 0.613460 0.613484 0.613508 0.613532 0.613556 0.613580 0.613604 0.613628 0.613653
61.9 0.613677 0.613701 0.613725 0.613749 0.613773 0.613797 0.613821 0.613845 0.613869 0.613893
Logarithm Table for base 831 — N = 62.00–62.99
N.i 0 1 2 3 4 5 6 7 8 9
62.0 0.613917 0.613941 0.613965 0.613989 0.614013 0.614037 0.614061 0.614085 0.614108 0.614132
62.1 0.614156 0.614180 0.614204 0.614228 0.614252 0.614276 0.614300 0.614324 0.614348 0.614372
62.2 0.614396 0.614420 0.614444 0.614467 0.614491 0.614515 0.614539 0.614563 0.614587 0.614611
62.3 0.614635 0.614659 0.614682 0.614706 0.614730 0.614754 0.614778 0.614802 0.614826 0.614849
62.4 0.614873 0.614897 0.614921 0.614945 0.614969 0.614992 0.615016 0.615040 0.615064 0.615088
62.5 0.615111 0.615135 0.615159 0.615183 0.615207 0.615230 0.615254 0.615278 0.615302 0.615325
62.6 0.615349 0.615373 0.615397 0.615421 0.615444 0.615468 0.615492 0.615516 0.615539 0.615563
62.7 0.615587 0.615610 0.615634 0.615658 0.615682 0.615705 0.615729 0.615753 0.615776 0.615800
62.8 0.615824 0.615847 0.615871 0.615895 0.615918 0.615942 0.615966 0.615989 0.616013 0.616037
62.9 0.616060 0.616084 0.616108 0.616131 0.616155 0.616179 0.616202 0.616226 0.616249 0.616273
Logarithm Table for base 831 — N = 63.00–63.99
N.i 0 1 2 3 4 5 6 7 8 9
63.0 0.616297 0.616320 0.616344 0.616368 0.616391 0.616415 0.616438 0.616462 0.616485 0.616509
63.1 0.616533 0.616556 0.616580 0.616603 0.616627 0.616650 0.616674 0.616698 0.616721 0.616745
63.2 0.616768 0.616792 0.616815 0.616839 0.616862 0.616886 0.616909 0.616933 0.616956 0.616980
63.3 0.617003 0.617027 0.617050 0.617074 0.617097 0.617121 0.617144 0.617168 0.617191 0.617215
63.4 0.617238 0.617262 0.617285 0.617309 0.617332 0.617355 0.617379 0.617402 0.617426 0.617449
63.5 0.617473 0.617496 0.617519 0.617543 0.617566 0.617590 0.617613 0.617637 0.617660 0.617683
63.6 0.617707 0.617730 0.617753 0.617777 0.617800 0.617824 0.617847 0.617870 0.617894 0.617917
63.7 0.617940 0.617964 0.617987 0.618010 0.618034 0.618057 0.618080 0.618104 0.618127 0.618150
63.8 0.618174 0.618197 0.618220 0.618244 0.618267 0.618290 0.618314 0.618337 0.618360 0.618383
63.9 0.618407 0.618430 0.618453 0.618477 0.618500 0.618523 0.618546 0.618570 0.618593 0.618616
Logarithm Table for base 831 — N = 64.00–64.99
N.i 0 1 2 3 4 5 6 7 8 9
64.0 0.618639 0.618663 0.618686 0.618709 0.618732 0.618755 0.618779 0.618802 0.618825 0.618848
64.1 0.618872 0.618895 0.618918 0.618941 0.618964 0.618988 0.619011 0.619034 0.619057 0.619080
64.2 0.619103 0.619127 0.619150 0.619173 0.619196 0.619219 0.619242 0.619266 0.619289 0.619312
64.3 0.619335 0.619358 0.619381 0.619404 0.619427 0.619451 0.619474 0.619497 0.619520 0.619543
64.4 0.619566 0.619589 0.619612 0.619635 0.619658 0.619682 0.619705 0.619728 0.619751 0.619774
64.5 0.619797 0.619820 0.619843 0.619866 0.619889 0.619912 0.619935 0.619958 0.619981 0.620004
64.6 0.620027 0.620050 0.620073 0.620096 0.620119 0.620142 0.620165 0.620188 0.620211 0.620234
64.7 0.620257 0.620280 0.620303 0.620326 0.620349 0.620372 0.620395 0.620418 0.620441 0.620464
64.8 0.620487 0.620510 0.620533 0.620556 0.620579 0.620602 0.620625 0.620648 0.620671 0.620694
64.9 0.620717 0.620739 0.620762 0.620785 0.620808 0.620831 0.620854 0.620877 0.620900 0.620923
Logarithm Table for base 831 — N = 65.00–65.99
N.i 0 1 2 3 4 5 6 7 8 9
65.0 0.620946 0.620968 0.620991 0.621014 0.621037 0.621060 0.621083 0.621106 0.621129 0.621151
65.1 0.621174 0.621197 0.621220 0.621243 0.621266 0.621288 0.621311 0.621334 0.621357 0.621380
65.2 0.621403 0.621425 0.621448 0.621471 0.621494 0.621517 0.621539 0.621562 0.621585 0.621608
65.3 0.621631 0.621653 0.621676 0.621699 0.621722 0.621744 0.621767 0.621790 0.621813 0.621835
65.4 0.621858 0.621881 0.621904 0.621926 0.621949 0.621972 0.621995 0.622017 0.622040 0.622063
65.5 0.622085 0.622108 0.622131 0.622154 0.622176 0.622199 0.622222 0.622244 0.622267 0.622290
65.6 0.622312 0.622335 0.622358 0.622380 0.622403 0.622426 0.622448 0.622471 0.622494 0.622516
65.7 0.622539 0.622562 0.622584 0.622607 0.622629 0.622652 0.622675 0.622697 0.622720 0.622743
65.8 0.622765 0.622788 0.622810 0.622833 0.622856 0.622878 0.622901 0.622923 0.622946 0.622969
65.9 0.622991 0.623014 0.623036 0.623059 0.623081 0.623104 0.623126 0.623149 0.623172 0.623194
Logarithm Table for base 831 — N = 66.00–66.99
N.i 0 1 2 3 4 5 6 7 8 9
66.0 0.623217 0.623239 0.623262 0.623284 0.623307 0.623329 0.623352 0.623374 0.623397 0.623419
66.1 0.623442 0.623464 0.623487 0.623509 0.623532 0.623554 0.623577 0.623599 0.623622 0.623644
66.2 0.623667 0.623689 0.623712 0.623734 0.623757 0.623779 0.623801 0.623824 0.623846 0.623869
66.3 0.623891 0.623914 0.623936 0.623959 0.623981 0.624003 0.624026 0.624048 0.624071 0.624093
66.4 0.624115 0.624138 0.624160 0.624183 0.624205 0.624227 0.624250 0.624272 0.624295 0.624317
66.5 0.624339 0.624362 0.624384 0.624406 0.624429 0.624451 0.624473 0.624496 0.624518 0.624540
66.6 0.624563 0.624585 0.624607 0.624630 0.624652 0.624674 0.624697 0.624719 0.624741 0.624764
66.7 0.624786 0.624808 0.624831 0.624853 0.624875 0.624897 0.624920 0.624942 0.624964 0.624987
66.8 0.625009 0.625031 0.625053 0.625076 0.625098 0.625120 0.625142 0.625165 0.625187 0.625209
66.9 0.625231 0.625254 0.625276 0.625298 0.625320 0.625342 0.625365 0.625387 0.625409 0.625431
Logarithm Table for base 831 — N = 67.00–67.99
N.i 0 1 2 3 4 5 6 7 8 9
67.0 0.625454 0.625476 0.625498 0.625520 0.625542 0.625565 0.625587 0.625609 0.625631 0.625653
67.1 0.625675 0.625698 0.625720 0.625742 0.625764 0.625786 0.625808 0.625830 0.625853 0.625875
67.2 0.625897 0.625919 0.625941 0.625963 0.625985 0.626008 0.626030 0.626052 0.626074 0.626096
67.3 0.626118 0.626140 0.626162 0.626184 0.626206 0.626229 0.626251 0.626273 0.626295 0.626317
67.4 0.626339 0.626361 0.626383 0.626405 0.626427 0.626449 0.626471 0.626493 0.626515 0.626537
67.5 0.626560 0.626582 0.626604 0.626626 0.626648 0.626670 0.626692 0.626714 0.626736 0.626758
67.6 0.626780 0.626802 0.626824 0.626846 0.626868 0.626890 0.626912 0.626934 0.626956 0.626978
67.7 0.627000 0.627022 0.627044 0.627065 0.627087 0.627109 0.627131 0.627153 0.627175 0.627197
67.8 0.627219 0.627241 0.627263 0.627285 0.627307 0.627329 0.627351 0.627373 0.627395 0.627416
67.9 0.627438 0.627460 0.627482 0.627504 0.627526 0.627548 0.627570 0.627592 0.627614 0.627635
Logarithm Table for base 831 — N = 68.00–68.99
N.i 0 1 2 3 4 5 6 7 8 9
68.0 0.627657 0.627679 0.627701 0.627723 0.627745 0.627767 0.627788 0.627810 0.627832 0.627854
68.1 0.627876 0.627898 0.627920 0.627941 0.627963 0.627985 0.628007 0.628029 0.628051 0.628072
68.2 0.628094 0.628116 0.628138 0.628160 0.628181 0.628203 0.628225 0.628247 0.628269 0.628290
68.3 0.628312 0.628334 0.628356 0.628377 0.628399 0.628421 0.628443 0.628464 0.628486 0.628508
68.4 0.628530 0.628551 0.628573 0.628595 0.628617 0.628638 0.628660 0.628682 0.628704 0.628725
68.5 0.628747 0.628769 0.628790 0.628812 0.628834 0.628856 0.628877 0.628899 0.628921 0.628942
68.6 0.628964 0.628986 0.629007 0.629029 0.629051 0.629072 0.629094 0.629116 0.629137 0.629159
68.7 0.629181 0.629202 0.629224 0.629246 0.629267 0.629289 0.629311 0.629332 0.629354 0.629375
68.8 0.629397 0.629419 0.629440 0.629462 0.629484 0.629505 0.629527 0.629548 0.629570 0.629592
68.9 0.629613 0.629635 0.629656 0.629678 0.629699 0.629721 0.629743 0.629764 0.629786 0.629807
Logarithm Table for base 831 — N = 69.00–69.99
N.i 0 1 2 3 4 5 6 7 8 9
69.0 0.629829 0.629850 0.629872 0.629894 0.629915 0.629937 0.629958 0.629980 0.630001 0.630023
69.1 0.630044 0.630066 0.630087 0.630109 0.630130 0.630152 0.630173 0.630195 0.630216 0.630238
69.2 0.630259 0.630281 0.630302 0.630324 0.630345 0.630367 0.630388 0.630410 0.630431 0.630453
69.3 0.630474 0.630496 0.630517 0.630539 0.630560 0.630582 0.630603 0.630624 0.630646 0.630667
69.4 0.630689 0.630710 0.630732 0.630753 0.630774 0.630796 0.630817 0.630839 0.630860 0.630882
69.5 0.630903 0.630924 0.630946 0.630967 0.630989 0.631010 0.631031 0.631053 0.631074 0.631095
69.6 0.631117 0.631138 0.631160 0.631181 0.631202 0.631224 0.631245 0.631266 0.631288 0.631309
69.7 0.631330 0.631352 0.631373 0.631394 0.631416 0.631437 0.631458 0.631480 0.631501 0.631522
69.8 0.631544 0.631565 0.631586 0.631608 0.631629 0.631650 0.631671 0.631693 0.631714 0.631735
69.9 0.631757 0.631778 0.631799 0.631820 0.631842 0.631863 0.631884 0.631905 0.631927 0.631948
Logarithm Table for base 831 — N = 70.00–70.99
N.i 0 1 2 3 4 5 6 7 8 9
70.0 0.631969 0.631990 0.632012 0.632033 0.632054 0.632075 0.632097 0.632118 0.632139 0.632160
70.1 0.632182 0.632203 0.632224 0.632245 0.632266 0.632288 0.632309 0.632330 0.632351 0.632372
70.2 0.632394 0.632415 0.632436 0.632457 0.632478 0.632500 0.632521 0.632542 0.632563 0.632584
70.3 0.632605 0.632627 0.632648 0.632669 0.632690 0.632711 0.632732 0.632753 0.632775 0.632796
70.4 0.632817 0.632838 0.632859 0.632880 0.632901 0.632922 0.632944 0.632965 0.632986 0.633007
70.5 0.633028 0.633049 0.633070 0.633091 0.633112 0.633133 0.633155 0.633176 0.633197 0.633218
70.6 0.633239 0.633260 0.633281 0.633302 0.633323 0.633344 0.633365 0.633386 0.633407 0.633428
70.7 0.633449 0.633470 0.633491 0.633512 0.633534 0.633555 0.633576 0.633597 0.633618 0.633639
70.8 0.633660 0.633681 0.633702 0.633723 0.633744 0.633765 0.633786 0.633807 0.633828 0.633849
70.9 0.633870 0.633891 0.633912 0.633932 0.633953 0.633974 0.633995 0.634016 0.634037 0.634058
Logarithm Table for base 831 — N = 71.00–71.99
N.i 0 1 2 3 4 5 6 7 8 9
71.0 0.634079 0.634100 0.634121 0.634142 0.634163 0.634184 0.634205 0.634226 0.634247 0.634268
71.1 0.634289 0.634310 0.634330 0.634351 0.634372 0.634393 0.634414 0.634435 0.634456 0.634477
71.2 0.634498 0.634519 0.634539 0.634560 0.634581 0.634602 0.634623 0.634644 0.634665 0.634686
71.3 0.634706 0.634727 0.634748 0.634769 0.634790 0.634811 0.634832 0.634852 0.634873 0.634894
71.4 0.634915 0.634936 0.634957 0.634977 0.634998 0.635019 0.635040 0.635061 0.635081 0.635102
71.5 0.635123 0.635144 0.635165 0.635185 0.635206 0.635227 0.635248 0.635269 0.635289 0.635310
71.6 0.635331 0.635352 0.635373 0.635393 0.635414 0.635435 0.635456 0.635476 0.635497 0.635518
71.7 0.635539 0.635559 0.635580 0.635601 0.635622 0.635642 0.635663 0.635684 0.635704 0.635725
71.8 0.635746 0.635767 0.635787 0.635808 0.635829 0.635849 0.635870 0.635891 0.635912 0.635932
71.9 0.635953 0.635974 0.635994 0.636015 0.636036 0.636056 0.636077 0.636098 0.636118 0.636139
Logarithm Table for base 831 — N = 72.00–72.99
N.i 0 1 2 3 4 5 6 7 8 9
72.0 0.636160 0.636180 0.636201 0.636222 0.636242 0.636263 0.636284 0.636304 0.636325 0.636346
72.1 0.636366 0.636387 0.636407 0.636428 0.636449 0.636469 0.636490 0.636510 0.636531 0.636552
72.2 0.636572 0.636593 0.636614 0.636634 0.636655 0.636675 0.636696 0.636716 0.636737 0.636758
72.3 0.636778 0.636799 0.636819 0.636840 0.636860 0.636881 0.636902 0.636922 0.636943 0.636963
72.4 0.636984 0.637004 0.637025 0.637045 0.637066 0.637086 0.637107 0.637128 0.637148 0.637169
72.5 0.637189 0.637210 0.637230 0.637251 0.637271 0.637292 0.637312 0.637333 0.637353 0.637374
72.6 0.637394 0.637415 0.637435 0.637456 0.637476 0.637497 0.637517 0.637538 0.637558 0.637578
72.7 0.637599 0.637619 0.637640 0.637660 0.637681 0.637701 0.637722 0.637742 0.637763 0.637783
72.8 0.637803 0.637824 0.637844 0.637865 0.637885 0.637906 0.637926 0.637946 0.637967 0.637987
72.9 0.638008 0.638028 0.638048 0.638069 0.638089 0.638110 0.638130 0.638150 0.638171 0.638191
Logarithm Table for base 831 — N = 73.00–73.99
N.i 0 1 2 3 4 5 6 7 8 9
73.0 0.638211 0.638232 0.638252 0.638273 0.638293 0.638313 0.638334 0.638354 0.638374 0.638395
73.1 0.638415 0.638435 0.638456 0.638476 0.638496 0.638517 0.638537 0.638557 0.638578 0.638598
73.2 0.638618 0.638639 0.638659 0.638679 0.638700 0.638720 0.638740 0.638761 0.638781 0.638801
73.3 0.638822 0.638842 0.638862 0.638882 0.638903 0.638923 0.638943 0.638964 0.638984 0.639004
73.4 0.639024 0.639045 0.639065 0.639085 0.639105 0.639126 0.639146 0.639166 0.639186 0.639207
73.5 0.639227 0.639247 0.639267 0.639288 0.639308 0.639328 0.639348 0.639368 0.639389 0.639409
73.6 0.639429 0.639449 0.639470 0.639490 0.639510 0.639530 0.639550 0.639570 0.639591 0.639611
73.7 0.639631 0.639651 0.639671 0.639692 0.639712 0.639732 0.639752 0.639772 0.639792 0.639813
73.8 0.639833 0.639853 0.639873 0.639893 0.639913 0.639933 0.639954 0.639974 0.639994 0.640014
73.9 0.640034 0.640054 0.640074 0.640095 0.640115 0.640135 0.640155 0.640175 0.640195 0.640215
Logarithm Table for base 831 — N = 74.00–74.99
N.i 0 1 2 3 4 5 6 7 8 9
74.0 0.640235 0.640255 0.640276 0.640296 0.640316 0.640336 0.640356 0.640376 0.640396 0.640416
74.1 0.640436 0.640456 0.640476 0.640496 0.640516 0.640537 0.640557 0.640577 0.640597 0.640617
74.2 0.640637 0.640657 0.640677 0.640697 0.640717 0.640737 0.640757 0.640777 0.640797 0.640817
74.3 0.640837 0.640857 0.640877 0.640897 0.640917 0.640937 0.640957 0.640977 0.640997 0.641017
74.4 0.641037 0.641057 0.641077 0.641097 0.641117 0.641137 0.641157 0.641177 0.641197 0.641217
74.5 0.641237 0.641257 0.641277 0.641297 0.641317 0.641337 0.641357 0.641377 0.641397 0.641417
74.6 0.641437 0.641456 0.641476 0.641496 0.641516 0.641536 0.641556 0.641576 0.641596 0.641616
74.7 0.641636 0.641656 0.641676 0.641696 0.641715 0.641735 0.641755 0.641775 0.641795 0.641815
74.8 0.641835 0.641855 0.641875 0.641894 0.641914 0.641934 0.641954 0.641974 0.641994 0.642014
74.9 0.642034 0.642053 0.642073 0.642093 0.642113 0.642133 0.642153 0.642173 0.642192 0.642212
Logarithm Table for base 831 — N = 75.00–75.99
N.i 0 1 2 3 4 5 6 7 8 9
75.0 0.642232 0.642252 0.642272 0.642292 0.642311 0.642331 0.642351 0.642371 0.642391 0.642410
75.1 0.642430 0.642450 0.642470 0.642490 0.642509 0.642529 0.642549 0.642569 0.642589 0.642608
75.2 0.642628 0.642648 0.642668 0.642687 0.642707 0.642727 0.642747 0.642767 0.642786 0.642806
75.3 0.642826 0.642846 0.642865 0.642885 0.642905 0.642925 0.642944 0.642964 0.642984 0.643004
75.4 0.643023 0.643043 0.643063 0.643082 0.643102 0.643122 0.643142 0.643161 0.643181 0.643201
75.5 0.643220 0.643240 0.643260 0.643279 0.643299 0.643319 0.643339 0.643358 0.643378 0.643398
75.6 0.643417 0.643437 0.643457 0.643476 0.643496 0.643516 0.643535 0.643555 0.643575 0.643594
75.7 0.643614 0.643634 0.643653 0.643673 0.643693 0.643712 0.643732 0.643751 0.643771 0.643791
75.8 0.643810 0.643830 0.643850 0.643869 0.643889 0.643908 0.643928 0.643948 0.643967 0.643987
75.9 0.644006 0.644026 0.644046 0.644065 0.644085 0.644104 0.644124 0.644144 0.644163 0.644183
Logarithm Table for base 831 — N = 76.00–76.99
N.i 0 1 2 3 4 5 6 7 8 9
76.0 0.644202 0.644222 0.644241 0.644261 0.644281 0.644300 0.644320 0.644339 0.644359 0.644378
76.1 0.644398 0.644417 0.644437 0.644456 0.644476 0.644496 0.644515 0.644535 0.644554 0.644574
76.2 0.644593 0.644613 0.644632 0.644652 0.644671 0.644691 0.644710 0.644730 0.644749 0.644769
76.3 0.644788 0.644808 0.644827 0.644847 0.644866 0.644886 0.644905 0.644925 0.644944 0.644964
76.4 0.644983 0.645003 0.645022 0.645042 0.645061 0.645080 0.645100 0.645119 0.645139 0.645158
76.5 0.645178 0.645197 0.645217 0.645236 0.645255 0.645275 0.645294 0.645314 0.645333 0.645353
76.6 0.645372 0.645391 0.645411 0.645430 0.645450 0.645469 0.645488 0.645508 0.645527 0.645547
76.7 0.645566 0.645585 0.645605 0.645624 0.645644 0.645663 0.645682 0.645702 0.645721 0.645741
76.8 0.645760 0.645779 0.645799 0.645818 0.645837 0.645857 0.645876 0.645895 0.645915 0.645934
76.9 0.645953 0.645973 0.645992 0.646011 0.646031 0.646050 0.646069 0.646089 0.646108 0.646127
Logarithm Table for base 831 — N = 77.00–77.99
N.i 0 1 2 3 4 5 6 7 8 9
77.0 0.646147 0.646166 0.646185 0.646205 0.646224 0.646243 0.646263 0.646282 0.646301 0.646321
77.1 0.646340 0.646359 0.646378 0.646398 0.646417 0.646436 0.646456 0.646475 0.646494 0.646513
77.2 0.646533 0.646552 0.646571 0.646590 0.646610 0.646629 0.646648 0.646667 0.646687 0.646706
77.3 0.646725 0.646744 0.646764 0.646783 0.646802 0.646821 0.646841 0.646860 0.646879 0.646898
77.4 0.646917 0.646937 0.646956 0.646975 0.646994 0.647014 0.647033 0.647052 0.647071 0.647090
77.5 0.647110 0.647129 0.647148 0.647167 0.647186 0.647205 0.647225 0.647244 0.647263 0.647282
77.6 0.647301 0.647321 0.647340 0.647359 0.647378 0.647397 0.647416 0.647435 0.647455 0.647474
77.7 0.647493 0.647512 0.647531 0.647550 0.647569 0.647589 0.647608 0.647627 0.647646 0.647665
77.8 0.647684 0.647703 0.647722 0.647742 0.647761 0.647780 0.647799 0.647818 0.647837 0.647856
77.9 0.647875 0.647894 0.647914 0.647933 0.647952 0.647971 0.647990 0.648009 0.648028 0.648047
Logarithm Table for base 831 — N = 78.00–78.99
N.i 0 1 2 3 4 5 6 7 8 9
78.0 0.648066 0.648085 0.648104 0.648123 0.648142 0.648161 0.648181 0.648200 0.648219 0.648238
78.1 0.648257 0.648276 0.648295 0.648314 0.648333 0.648352 0.648371 0.648390 0.648409 0.648428
78.2 0.648447 0.648466 0.648485 0.648504 0.648523 0.648542 0.648561 0.648580 0.648599 0.648618
78.3 0.648637 0.648656 0.648675 0.648694 0.648713 0.648732 0.648751 0.648770 0.648789 0.648808
78.4 0.648827 0.648846 0.648865 0.648884 0.648903 0.648922 0.648941 0.648960 0.648979 0.648998
78.5 0.649017 0.649036 0.649055 0.649073 0.649092 0.649111 0.649130 0.649149 0.649168 0.649187
78.6 0.649206 0.649225 0.649244 0.649263 0.649282 0.649301 0.649320 0.649338 0.649357 0.649376
78.7 0.649395 0.649414 0.649433 0.649452 0.649471 0.649490 0.649509 0.649527 0.649546 0.649565
78.8 0.649584 0.649603 0.649622 0.649641 0.649660 0.649678 0.649697 0.649716 0.649735 0.649754
78.9 0.649773 0.649792 0.649810 0.649829 0.649848 0.649867 0.649886 0.649905 0.649923 0.649942
Logarithm Table for base 831 — N = 79.00–79.99
N.i 0 1 2 3 4 5 6 7 8 9
79.0 0.649961 0.649980 0.649999 0.650018 0.650036 0.650055 0.650074 0.650093 0.650112 0.650130
79.1 0.650149 0.650168 0.650187 0.650206 0.650224 0.650243 0.650262 0.650281 0.650300 0.650318
79.2 0.650337 0.650356 0.650375 0.650394 0.650412 0.650431 0.650450 0.650469 0.650487 0.650506
79.3 0.650525 0.650544 0.650562 0.650581 0.650600 0.650619 0.650637 0.650656 0.650675 0.650694
79.4 0.650712 0.650731 0.650750 0.650769 0.650787 0.650806 0.650825 0.650843 0.650862 0.650881
79.5 0.650900 0.650918 0.650937 0.650956 0.650974 0.650993 0.651012 0.651031 0.651049 0.651068
79.6 0.651087 0.651105 0.651124 0.651143 0.651161 0.651180 0.651199 0.651217 0.651236 0.651255
79.7 0.651273 0.651292 0.651311 0.651329 0.651348 0.651367 0.651385 0.651404 0.651423 0.651441
79.8 0.651460 0.651479 0.651497 0.651516 0.651534 0.651553 0.651572 0.651590 0.651609 0.651628
79.9 0.651646 0.651665 0.651683 0.651702 0.651721 0.651739 0.651758 0.651776 0.651795 0.651814
Logarithm Table for base 831 — N = 80.00–80.99
N.i 0 1 2 3 4 5 6 7 8 9
80.0 0.651832 0.651851 0.651869 0.651888 0.651907 0.651925 0.651944 0.651962 0.651981 0.651999
80.1 0.652018 0.652037 0.652055 0.652074 0.652092 0.652111 0.652129 0.652148 0.652167 0.652185
80.2 0.652204 0.652222 0.652241 0.652259 0.652278 0.652296 0.652315 0.652333 0.652352 0.652370
80.3 0.652389 0.652408 0.652426 0.652445 0.652463 0.652482 0.652500 0.652519 0.652537 0.652556
80.4 0.652574 0.652593 0.652611 0.652630 0.652648 0.652667 0.652685 0.652704 0.652722 0.652741
80.5 0.652759 0.652777 0.652796 0.652814 0.652833 0.652851 0.652870 0.652888 0.652907 0.652925
80.6 0.652944 0.652962 0.652981 0.652999 0.653017 0.653036 0.653054 0.653073 0.653091 0.653110
80.7 0.653128 0.653147 0.653165 0.653183 0.653202 0.653220 0.653239 0.653257 0.653276 0.653294
80.8 0.653312 0.653331 0.653349 0.653368 0.653386 0.653404 0.653423 0.653441 0.653460 0.653478
80.9 0.653496 0.653515 0.653533 0.653551 0.653570 0.653588 0.653607 0.653625 0.653643 0.653662
Logarithm Table for base 831 — N = 81.00–81.99
N.i 0 1 2 3 4 5 6 7 8 9
81.0 0.653680 0.653698 0.653717 0.653735 0.653754 0.653772 0.653790 0.653809 0.653827 0.653845
81.1 0.653864 0.653882 0.653900 0.653919 0.653937 0.653955 0.653974 0.653992 0.654010 0.654029
81.2 0.654047 0.654065 0.654084 0.654102 0.654120 0.654138 0.654157 0.654175 0.654193 0.654212
81.3 0.654230 0.654248 0.654267 0.654285 0.654303 0.654321 0.654340 0.654358 0.654376 0.654395
81.4 0.654413 0.654431 0.654449 0.654468 0.654486 0.654504 0.654522 0.654541 0.654559 0.654577
81.5 0.654595 0.654614 0.654632 0.654650 0.654668 0.654687 0.654705 0.654723 0.654741 0.654760
81.6 0.654778 0.654796 0.654814 0.654833 0.654851 0.654869 0.654887 0.654905 0.654924 0.654942
81.7 0.654960 0.654978 0.654996 0.655015 0.655033 0.655051 0.655069 0.655087 0.655106 0.655124
81.8 0.655142 0.655160 0.655178 0.655197 0.655215 0.655233 0.655251 0.655269 0.655287 0.655306
81.9 0.655324 0.655342 0.655360 0.655378 0.655396 0.655415 0.655433 0.655451 0.655469 0.655487
Logarithm Table for base 831 — N = 82.00–82.99
N.i 0 1 2 3 4 5 6 7 8 9
82.0 0.655505 0.655523 0.655542 0.655560 0.655578 0.655596 0.655614 0.655632 0.655650 0.655668
82.1 0.655687 0.655705 0.655723 0.655741 0.655759 0.655777 0.655795 0.655813 0.655831 0.655850
82.2 0.655868 0.655886 0.655904 0.655922 0.655940 0.655958 0.655976 0.655994 0.656012 0.656030
82.3 0.656048 0.656067 0.656085 0.656103 0.656121 0.656139 0.656157 0.656175 0.656193 0.656211
82.4 0.656229 0.656247 0.656265 0.656283 0.656301 0.656319 0.656337 0.656355 0.656373 0.656392
82.5 0.656410 0.656428 0.656446 0.656464 0.656482 0.656500 0.656518 0.656536 0.656554 0.656572
82.6 0.656590 0.656608 0.656626 0.656644 0.656662 0.656680 0.656698 0.656716 0.656734 0.656752
82.7 0.656770 0.656788 0.656806 0.656824 0.656842 0.656860 0.656878 0.656896 0.656914 0.656932
82.8 0.656949 0.656967 0.656985 0.657003 0.657021 0.657039 0.657057 0.657075 0.657093 0.657111
82.9 0.657129 0.657147 0.657165 0.657183 0.657201 0.657219 0.657237 0.657255 0.657272 0.657290
Logarithm Table for base 831 — N = 83.00–83.99
N.i 0 1 2 3 4 5 6 7 8 9
83.0 0.657308 0.657326 0.657344 0.657362 0.657380 0.657398 0.657416 0.657434 0.657452 0.657470
83.1 0.657487 0.657505 0.657523 0.657541 0.657559 0.657577 0.657595 0.657613 0.657631 0.657648
83.2 0.657666 0.657684 0.657702 0.657720 0.657738 0.657756 0.657774 0.657791 0.657809 0.657827
83.3 0.657845 0.657863 0.657881 0.657899 0.657916 0.657934 0.657952 0.657970 0.657988 0.658006
83.4 0.658023 0.658041 0.658059 0.658077 0.658095 0.658113 0.658130 0.658148 0.658166 0.658184
83.5 0.658202 0.658220 0.658237 0.658255 0.658273 0.658291 0.658309 0.658326 0.658344 0.658362
83.6 0.658380 0.658398 0.658415 0.658433 0.658451 0.658469 0.658487 0.658504 0.658522 0.658540
83.7 0.658558 0.658575 0.658593 0.658611 0.658629 0.658646 0.658664 0.658682 0.658700 0.658717
83.8 0.658735 0.658753 0.658771 0.658788 0.658806 0.658824 0.658842 0.658859 0.658877 0.658895
83.9 0.658913 0.658930 0.658948 0.658966 0.658984 0.659001 0.659019 0.659037 0.659054 0.659072
Logarithm Table for base 831 — N = 84.00–84.99
N.i 0 1 2 3 4 5 6 7 8 9
84.0 0.659090 0.659108 0.659125 0.659143 0.659161 0.659178 0.659196 0.659214 0.659231 0.659249
84.1 0.659267 0.659284 0.659302 0.659320 0.659338 0.659355 0.659373 0.659391 0.659408 0.659426
84.2 0.659444 0.659461 0.659479 0.659497 0.659514 0.659532 0.659550 0.659567 0.659585 0.659602
84.3 0.659620 0.659638 0.659655 0.659673 0.659691 0.659708 0.659726 0.659744 0.659761 0.659779
84.4 0.659796 0.659814 0.659832 0.659849 0.659867 0.659885 0.659902 0.659920 0.659937 0.659955
84.5 0.659973 0.659990 0.660008 0.660025 0.660043 0.660061 0.660078 0.660096 0.660113 0.660131
84.6 0.660149 0.660166 0.660184 0.660201 0.660219 0.660236 0.660254 0.660272 0.660289 0.660307
84.7 0.660324 0.660342 0.660359 0.660377 0.660395 0.660412 0.660430 0.660447 0.660465 0.660482
84.8 0.660500 0.660517 0.660535 0.660552 0.660570 0.660587 0.660605 0.660623 0.660640 0.660658
84.9 0.660675 0.660693 0.660710 0.660728 0.660745 0.660763 0.660780 0.660798 0.660815 0.660833
Logarithm Table for base 831 — N = 85.00–85.99
N.i 0 1 2 3 4 5 6 7 8 9
85.0 0.660850 0.660868 0.660885 0.660903 0.660920 0.660938 0.660955 0.660973 0.660990 0.661008
85.1 0.661025 0.661043 0.661060 0.661078 0.661095 0.661112 0.661130 0.661147 0.661165 0.661182
85.2 0.661200 0.661217 0.661235 0.661252 0.661270 0.661287 0.661305 0.661322 0.661339 0.661357
85.3 0.661374 0.661392 0.661409 0.661427 0.661444 0.661461 0.661479 0.661496 0.661514 0.661531
85.4 0.661549 0.661566 0.661583 0.661601 0.661618 0.661636 0.661653 0.661670 0.661688 0.661705
85.5 0.661723 0.661740 0.661757 0.661775 0.661792 0.661810 0.661827 0.661844 0.661862 0.661879
85.6 0.661897 0.661914 0.661931 0.661949 0.661966 0.661983 0.662001 0.662018 0.662035 0.662053
85.7 0.662070 0.662088 0.662105 0.662122 0.662140 0.662157 0.662174 0.662192 0.662209 0.662226
85.8 0.662244 0.662261 0.662278 0.662296 0.662313 0.662330 0.662348 0.662365 0.662382 0.662400
85.9 0.662417 0.662434 0.662452 0.662469 0.662486 0.662503 0.662521 0.662538 0.662555 0.662573
Logarithm Table for base 831 — N = 86.00–86.99
N.i 0 1 2 3 4 5 6 7 8 9
86.0 0.662590 0.662607 0.662625 0.662642 0.662659 0.662676 0.662694 0.662711 0.662728 0.662746
86.1 0.662763 0.662780 0.662797 0.662815 0.662832 0.662849 0.662866 0.662884 0.662901 0.662918
86.2 0.662936 0.662953 0.662970 0.662987 0.663005 0.663022 0.663039 0.663056 0.663074 0.663091
86.3 0.663108 0.663125 0.663142 0.663160 0.663177 0.663194 0.663211 0.663229 0.663246 0.663263
86.4 0.663280 0.663297 0.663315 0.663332 0.663349 0.663366 0.663384 0.663401 0.663418 0.663435
86.5 0.663452 0.663470 0.663487 0.663504 0.663521 0.663538 0.663555 0.663573 0.663590 0.663607
86.6 0.663624 0.663641 0.663659 0.663676 0.663693 0.663710 0.663727 0.663744 0.663762 0.663779
86.7 0.663796 0.663813 0.663830 0.663847 0.663864 0.663882 0.663899 0.663916 0.663933 0.663950
86.8 0.663967 0.663984 0.664002 0.664019 0.664036 0.664053 0.664070 0.664087 0.664104 0.664121
86.9 0.664139 0.664156 0.664173 0.664190 0.664207 0.664224 0.664241 0.664258 0.664275 0.664293
Logarithm Table for base 831 — N = 87.00–87.99
N.i 0 1 2 3 4 5 6 7 8 9
87.0 0.664310 0.664327 0.664344 0.664361 0.664378 0.664395 0.664412 0.664429 0.664446 0.664463
87.1 0.664481 0.664498 0.664515 0.664532 0.664549 0.664566 0.664583 0.664600 0.664617 0.664634
87.2 0.664651 0.664668 0.664685 0.664702 0.664719 0.664737 0.664754 0.664771 0.664788 0.664805
87.3 0.664822 0.664839 0.664856 0.664873 0.664890 0.664907 0.664924 0.664941 0.664958 0.664975
87.4 0.664992 0.665009 0.665026 0.665043 0.665060 0.665077 0.665094 0.665111 0.665128 0.665145
87.5 0.665162 0.665179 0.665196 0.665213 0.665230 0.665247 0.665264 0.665281 0.665298 0.665315
87.6 0.665332 0.665349 0.665366 0.665383 0.665400 0.665417 0.665434 0.665451 0.665468 0.665485
87.7 0.665502 0.665519 0.665536 0.665553 0.665570 0.665587 0.665603 0.665620 0.665637 0.665654
87.8 0.665671 0.665688 0.665705 0.665722 0.665739 0.665756 0.665773 0.665790 0.665807 0.665824
87.9 0.665841 0.665858 0.665874 0.665891 0.665908 0.665925 0.665942 0.665959 0.665976 0.665993
Logarithm Table for base 831 — N = 88.00–88.99
N.i 0 1 2 3 4 5 6 7 8 9
88.0 0.666010 0.666027 0.666044 0.666060 0.666077 0.666094 0.666111 0.666128 0.666145 0.666162
88.1 0.666179 0.666196 0.666212 0.666229 0.666246 0.666263 0.666280 0.666297 0.666314 0.666331
88.2 0.666347 0.666364 0.666381 0.666398 0.666415 0.666432 0.666449 0.666465 0.666482 0.666499
88.3 0.666516 0.666533 0.666550 0.666566 0.666583 0.666600 0.666617 0.666634 0.666651 0.666668
88.4 0.666684 0.666701 0.666718 0.666735 0.666752 0.666768 0.666785 0.666802 0.666819 0.666836
88.5 0.666853 0.666869 0.666886 0.666903 0.666920 0.666937 0.666953 0.666970 0.666987 0.667004
88.6 0.667020 0.667037 0.667054 0.667071 0.667088 0.667104 0.667121 0.667138 0.667155 0.667172
88.7 0.667188 0.667205 0.667222 0.667239 0.667255 0.667272 0.667289 0.667306 0.667322 0.667339
88.8 0.667356 0.667373 0.667389 0.667406 0.667423 0.667440 0.667456 0.667473 0.667490 0.667507
88.9 0.667523 0.667540 0.667557 0.667574 0.667590 0.667607 0.667624 0.667640 0.667657 0.667674
Logarithm Table for base 831 — N = 89.00–89.99
N.i 0 1 2 3 4 5 6 7 8 9
89.0 0.667691 0.667707 0.667724 0.667741 0.667757 0.667774 0.667791 0.667807 0.667824 0.667841
89.1 0.667858 0.667874 0.667891 0.667908 0.667924 0.667941 0.667958 0.667974 0.667991 0.668008
89.2 0.668024 0.668041 0.668058 0.668074 0.668091 0.668108 0.668124 0.668141 0.668158 0.668174
89.3 0.668191 0.668208 0.668224 0.668241 0.668258 0.668274 0.668291 0.668308 0.668324 0.668341
89.4 0.668358 0.668374 0.668391 0.668408 0.668424 0.668441 0.668457 0.668474 0.668491 0.668507
89.5 0.668524 0.668541 0.668557 0.668574 0.668590 0.668607 0.668624 0.668640 0.668657 0.668673
89.6 0.668690 0.668707 0.668723 0.668740 0.668756 0.668773 0.668790 0.668806 0.668823 0.668839
89.7 0.668856 0.668873 0.668889 0.668906 0.668922 0.668939 0.668955 0.668972 0.668989 0.669005
89.8 0.669022 0.669038 0.669055 0.669071 0.669088 0.669104 0.669121 0.669138 0.669154 0.669171
89.9 0.669187 0.669204 0.669220 0.669237 0.669253 0.669270 0.669286 0.669303 0.669320 0.669336
Logarithm Table for base 831 — N = 90.00–90.99
N.i 0 1 2 3 4 5 6 7 8 9
90.0 0.669353 0.669369 0.669386 0.669402 0.669419 0.669435 0.669452 0.669468 0.669485 0.669501
90.1 0.669518 0.669534 0.669551 0.669567 0.669584 0.669600 0.669617 0.669633 0.669650 0.669666
90.2 0.669683 0.669699 0.669716 0.669732 0.669749 0.669765 0.669782 0.669798 0.669815 0.669831
90.3 0.669848 0.669864 0.669881 0.669897 0.669913 0.669930 0.669946 0.669963 0.669979 0.669996
90.4 0.670012 0.670029 0.670045 0.670062 0.670078 0.670094 0.670111 0.670127 0.670144 0.670160
90.5 0.670177 0.670193 0.670210 0.670226 0.670242 0.670259 0.670275 0.670292 0.670308 0.670325
90.6 0.670341 0.670357 0.670374 0.670390 0.670407 0.670423 0.670439 0.670456 0.670472 0.670489
90.7 0.670505 0.670521 0.670538 0.670554 0.670571 0.670587 0.670603 0.670620 0.670636 0.670653
90.8 0.670669 0.670685 0.670702 0.670718 0.670734 0.670751 0.670767 0.670784 0.670800 0.670816
90.9 0.670833 0.670849 0.670865 0.670882 0.670898 0.670915 0.670931 0.670947 0.670964 0.670980
Logarithm Table for base 831 — N = 91.00–91.99
N.i 0 1 2 3 4 5 6 7 8 9
91.0 0.670996 0.671013 0.671029 0.671045 0.671062 0.671078 0.671094 0.671111 0.671127 0.671143
91.1 0.671160 0.671176 0.671192 0.671209 0.671225 0.671241 0.671258 0.671274 0.671290 0.671307
91.2 0.671323 0.671339 0.671355 0.671372 0.671388 0.671404 0.671421 0.671437 0.671453 0.671470
91.3 0.671486 0.671502 0.671518 0.671535 0.671551 0.671567 0.671584 0.671600 0.671616 0.671632
91.4 0.671649 0.671665 0.671681 0.671698 0.671714 0.671730 0.671746 0.671763 0.671779 0.671795
91.5 0.671811 0.671828 0.671844 0.671860 0.671876 0.671893 0.671909 0.671925 0.671941 0.671958
91.6 0.671974 0.671990 0.672006 0.672023 0.672039 0.672055 0.672071 0.672087 0.672104 0.672120
91.7 0.672136 0.672152 0.672169 0.672185 0.672201 0.672217 0.672233 0.672250 0.672266 0.672282
91.8 0.672298 0.672314 0.672331 0.672347 0.672363 0.672379 0.672395 0.672412 0.672428 0.672444
91.9 0.672460 0.672476 0.672493 0.672509 0.672525 0.672541 0.672557 0.672573 0.672590 0.672606
Logarithm Table for base 831 — N = 92.00–92.99
N.i 0 1 2 3 4 5 6 7 8 9
92.0 0.672622 0.672638 0.672654 0.672670 0.672687 0.672703 0.672719 0.672735 0.672751 0.672767
92.1 0.672784 0.672800 0.672816 0.672832 0.672848 0.672864 0.672880 0.672897 0.672913 0.672929
92.2 0.672945 0.672961 0.672977 0.672993 0.673010 0.673026 0.673042 0.673058 0.673074 0.673090
92.3 0.673106 0.673122 0.673138 0.673155 0.673171 0.673187 0.673203 0.673219 0.673235 0.673251
92.4 0.673267 0.673283 0.673300 0.673316 0.673332 0.673348 0.673364 0.673380 0.673396 0.673412
92.5 0.673428 0.673444 0.673460 0.673476 0.673493 0.673509 0.673525 0.673541 0.673557 0.673573
92.6 0.673589 0.673605 0.673621 0.673637 0.673653 0.673669 0.673685 0.673701 0.673717 0.673733
92.7 0.673750 0.673766 0.673782 0.673798 0.673814 0.673830 0.673846 0.673862 0.673878 0.673894
92.8 0.673910 0.673926 0.673942 0.673958 0.673974 0.673990 0.674006 0.674022 0.674038 0.674054
92.9 0.674070 0.674086 0.674102 0.674118 0.674134 0.674150 0.674166 0.674182 0.674198 0.674214
Logarithm Table for base 831 — N = 93.00–93.99
N.i 0 1 2 3 4 5 6 7 8 9
93.0 0.674230 0.674246 0.674262 0.674278 0.674294 0.674310 0.674326 0.674342 0.674358 0.674374
93.1 0.674390 0.674406 0.674422 0.674438 0.674454 0.674470 0.674486 0.674502 0.674518 0.674534
93.2 0.674550 0.674566 0.674582 0.674598 0.674613 0.674629 0.674645 0.674661 0.674677 0.674693
93.3 0.674709 0.674725 0.674741 0.674757 0.674773 0.674789 0.674805 0.674821 0.674837 0.674853
93.4 0.674869 0.674884 0.674900 0.674916 0.674932 0.674948 0.674964 0.674980 0.674996 0.675012
93.5 0.675028 0.675044 0.675060 0.675075 0.675091 0.675107 0.675123 0.675139 0.675155 0.675171
93.6 0.675187 0.675203 0.675219 0.675234 0.675250 0.675266 0.675282 0.675298 0.675314 0.675330
93.7 0.675346 0.675361 0.675377 0.675393 0.675409 0.675425 0.675441 0.675457 0.675473 0.675488
93.8 0.675504 0.675520 0.675536 0.675552 0.675568 0.675583 0.675599 0.675615 0.675631 0.675647
93.9 0.675663 0.675679 0.675694 0.675710 0.675726 0.675742 0.675758 0.675774 0.675789 0.675805
Logarithm Table for base 831 — N = 94.00–94.99
N.i 0 1 2 3 4 5 6 7 8 9
94.0 0.675821 0.675837 0.675853 0.675869 0.675884 0.675900 0.675916 0.675932 0.675948 0.675963
94.1 0.675979 0.675995 0.676011 0.676027 0.676042 0.676058 0.676074 0.676090 0.676106 0.676121
94.2 0.676137 0.676153 0.676169 0.676185 0.676200 0.676216 0.676232 0.676248 0.676263 0.676279
94.3 0.676295 0.676311 0.676327 0.676342 0.676358 0.676374 0.676390 0.676405 0.676421 0.676437
94.4 0.676453 0.676468 0.676484 0.676500 0.676516 0.676531 0.676547 0.676563 0.676579 0.676594
94.5 0.676610 0.676626 0.676642 0.676657 0.676673 0.676689 0.676705 0.676720 0.676736 0.676752
94.6 0.676768 0.676783 0.676799 0.676815 0.676830 0.676846 0.676862 0.676878 0.676893 0.676909
94.7 0.676925 0.676940 0.676956 0.676972 0.676987 0.677003 0.677019 0.677035 0.677050 0.677066
94.8 0.677082 0.677097 0.677113 0.677129 0.677144 0.677160 0.677176 0.677191 0.677207 0.677223
94.9 0.677238 0.677254 0.677270 0.677286 0.677301 0.677317 0.677333 0.677348 0.677364 0.677380
Logarithm Table for base 831 — N = 95.00–95.99
N.i 0 1 2 3 4 5 6 7 8 9
95.0 0.677395 0.677411 0.677426 0.677442 0.677458 0.677473 0.677489 0.677505 0.677520 0.677536
95.1 0.677552 0.677567 0.677583 0.677599 0.677614 0.677630 0.677645 0.677661 0.677677 0.677692
95.2 0.677708 0.677724 0.677739 0.677755 0.677770 0.677786 0.677802 0.677817 0.677833 0.677849
95.3 0.677864 0.677880 0.677895 0.677911 0.677927 0.677942 0.677958 0.677973 0.677989 0.678005
95.4 0.678020 0.678036 0.678051 0.678067 0.678083 0.678098 0.678114 0.678129 0.678145 0.678160
95.5 0.678176 0.678192 0.678207 0.678223 0.678238 0.678254 0.678269 0.678285 0.678301 0.678316
95.6 0.678332 0.678347 0.678363 0.678378 0.678394 0.678409 0.678425 0.678441 0.678456 0.678472
95.7 0.678487 0.678503 0.678518 0.678534 0.678549 0.678565 0.678580 0.678596 0.678612 0.678627
95.8 0.678643 0.678658 0.678674 0.678689 0.678705 0.678720 0.678736 0.678751 0.678767 0.678782
95.9 0.678798 0.678813 0.678829 0.678844 0.678860 0.678875 0.678891 0.678906 0.678922 0.678937
Logarithm Table for base 831 — N = 96.00–96.99
N.i 0 1 2 3 4 5 6 7 8 9
96.0 0.678953 0.678968 0.678984 0.678999 0.679015 0.679030 0.679046 0.679061 0.679077 0.679092
96.1 0.679108 0.679123 0.679139 0.679154 0.679170 0.679185 0.679200 0.679216 0.679231 0.679247
96.2 0.679262 0.679278 0.679293 0.679309 0.679324 0.679340 0.679355 0.679371 0.679386 0.679401
96.3 0.679417 0.679432 0.679448 0.679463 0.679479 0.679494 0.679510 0.679525 0.679540 0.679556
96.4 0.679571 0.679587 0.679602 0.679618 0.679633 0.679648 0.679664 0.679679 0.679695 0.679710
96.5 0.679726 0.679741 0.679756 0.679772 0.679787 0.679803 0.679818 0.679833 0.679849 0.679864
96.6 0.679880 0.679895 0.679910 0.679926 0.679941 0.679957 0.679972 0.679987 0.680003 0.680018
96.7 0.680033 0.680049 0.680064 0.680080 0.680095 0.680110 0.680126 0.680141 0.680157 0.680172
96.8 0.680187 0.680203 0.680218 0.680233 0.680249 0.680264 0.680279 0.680295 0.680310 0.680325
96.9 0.680341 0.680356 0.680372 0.680387 0.680402 0.680418 0.680433 0.680448 0.680464 0.680479
Logarithm Table for base 831 — N = 97.00–97.99
N.i 0 1 2 3 4 5 6 7 8 9
97.0 0.680494 0.680510 0.680525 0.680540 0.680556 0.680571 0.680586 0.680602 0.680617 0.680632
97.1 0.680648 0.680663 0.680678 0.680693 0.680709 0.680724 0.680739 0.680755 0.680770 0.680785
97.2 0.680801 0.680816 0.680831 0.680847 0.680862 0.680877 0.680892 0.680908 0.680923 0.680938
97.3 0.680954 0.680969 0.680984 0.680999 0.681015 0.681030 0.681045 0.681061 0.681076 0.681091
97.4 0.681106 0.681122 0.681137 0.681152 0.681167 0.681183 0.681198 0.681213 0.681229 0.681244
97.5 0.681259 0.681274 0.681290 0.681305 0.681320 0.681335 0.681351 0.681366 0.681381 0.681396
97.6 0.681412 0.681427 0.681442 0.681457 0.681472 0.681488 0.681503 0.681518 0.681533 0.681549
97.7 0.681564 0.681579 0.681594 0.681610 0.681625 0.681640 0.681655 0.681670 0.681686 0.681701
97.8 0.681716 0.681731 0.681746 0.681762 0.681777 0.681792 0.681807 0.681822 0.681838 0.681853
97.9 0.681868 0.681883 0.681898 0.681914 0.681929 0.681944 0.681959 0.681974 0.681990 0.682005
Logarithm Table for base 831 — N = 98.00–98.99
N.i 0 1 2 3 4 5 6 7 8 9
98.0 0.682020 0.682035 0.682050 0.682065 0.682081 0.682096 0.682111 0.682126 0.682141 0.682156
98.1 0.682172 0.682187 0.682202 0.682217 0.682232 0.682247 0.682263 0.682278 0.682293 0.682308
98.2 0.682323 0.682338 0.682353 0.682369 0.682384 0.682399 0.682414 0.682429 0.682444 0.682459
98.3 0.682475 0.682490 0.682505 0.682520 0.682535 0.682550 0.682565 0.682580 0.682596 0.682611
98.4 0.682626 0.682641 0.682656 0.682671 0.682686 0.682701 0.682717 0.682732 0.682747 0.682762
98.5 0.682777 0.682792 0.682807 0.682822 0.682837 0.682852 0.682868 0.682883 0.682898 0.682913
98.6 0.682928 0.682943 0.682958 0.682973 0.682988 0.683003 0.683018 0.683033 0.683049 0.683064
98.7 0.683079 0.683094 0.683109 0.683124 0.683139 0.683154 0.683169 0.683184 0.683199 0.683214
98.8 0.683229 0.683244 0.683259 0.683274 0.683290 0.683305 0.683320 0.683335 0.683350 0.683365
98.9 0.683380 0.683395 0.683410 0.683425 0.683440 0.683455 0.683470 0.683485 0.683500 0.683515
Logarithm Table for base 831 — N = 99.00–99.99
N.i 0 1 2 3 4 5 6 7 8 9
99.0 0.683530 0.683545 0.683560 0.683575 0.683590 0.683605 0.683620 0.683635 0.683650 0.683665
99.1 0.683680 0.683695 0.683710 0.683725 0.683740 0.683755 0.683770 0.683785 0.683800 0.683815
99.2 0.683830 0.683845 0.683860 0.683875 0.683890 0.683905 0.683920 0.683935 0.683950 0.683965
99.3 0.683980 0.683995 0.684010 0.684025 0.684040 0.684055 0.684070 0.684085 0.684100 0.684115
99.4 0.684130 0.684145 0.684160 0.684175 0.684190 0.684205 0.684220 0.684235 0.684250 0.684265
99.5 0.684279 0.684294 0.684309 0.684324 0.684339 0.684354 0.684369 0.684384 0.684399 0.684414
99.6 0.684429 0.684444 0.684459 0.684474 0.684489 0.684504 0.684518 0.684533 0.684548 0.684563
99.7 0.684578 0.684593 0.684608 0.684623 0.684638 0.684653 0.684668 0.684683 0.684697 0.684712
99.8 0.684727 0.684742 0.684757 0.684772 0.684787 0.684802 0.684817 0.684832 0.684846 0.684861
99.9 0.684876 0.684891 0.684906 0.684921 0.684936 0.684951 0.684966 0.684980 0.684995 0.685010
Logarithm Table for base 831 — N = 100.00–100.99
N.i 0 1 2 3 4 5 6 7 8 9
100.0 0.685025 0.685040 0.685055 0.685070 0.685085 0.685099 0.685114 0.685129 0.685144 0.685159
100.1 0.685174 0.685189 0.685204 0.685218 0.685233 0.685248 0.685263 0.685278 0.685293 0.685307
100.2 0.685322 0.685337 0.685352 0.685367 0.685382 0.685397 0.685411 0.685426 0.685441 0.685456
100.3 0.685471 0.685486 0.685500 0.685515 0.685530 0.685545 0.685560 0.685574 0.685589 0.685604
100.4 0.685619 0.685634 0.685649 0.685663 0.685678 0.685693 0.685708 0.685723 0.685737 0.685752
100.5 0.685767 0.685782 0.685797 0.685811 0.685826 0.685841 0.685856 0.685871 0.685885 0.685900
100.6 0.685915 0.685930 0.685945 0.685959 0.685974 0.685989 0.686004 0.686018 0.686033 0.686048
100.7 0.686063 0.686078 0.686092 0.686107 0.686122 0.686137 0.686151 0.686166 0.686181 0.686196
100.8 0.686210 0.686225 0.686240 0.686255 0.686269 0.686284 0.686299 0.686314 0.686328 0.686343
100.9 0.686358 0.686373 0.686387 0.686402 0.686417 0.686432 0.686446 0.686461 0.686476 0.686491

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