Saturday, May 11

Common Logarithm Table


A numerical expressipon may involve multiplication, division, or exponents of large numbers. In all such calculations, the log tables prove to be an effective tool in simplyfying the complicated computations. Before seeing the common logarithm table, let us learn what characteristic and mantissa is.

In general, the logarithm of any number "n" can be expresed as follows:
log n = p + log m, where p is an integer and 1 ≤ m < 10.
"p" is the integral of log n, is defined as the characteristic and th elog m is defined as mantissa.
Since log 1 = 0 and log 10 = 1 and 1 ≤ m < 10, we have log m as a decimal.
Note: The charcteristic of a number greater than 1 is one less than the number of digits in its integral part.

Ex: Charcteristic of 36177 is 4
Total number of digits = 5, one less than 5 is 4.
Consider log 36.122
We have only two digits in the integral part. So, characteristic of 36.122 is 1.

Common logarithm table from 1 to 4.99


101.10.04139272.10.32221933.10.49136174.10.6127839
1.0010.00043411.110.0453232.110.32428253.110.49276044.110.6138418
1.0020.00086771.120.0492182.120.32633593.120.49415464.120.6148972
1.0030.00130091.130.05307842.130.32837963.130.49554434.130.6159501
1.0040.00173371.140.05690492.140.33041383.140.49692964.140.6170003
1.0050.00216611.150.06069782.150.33243853.150.49831064.150.6180481
1.0060.0025981.160.0644582.160.33445383.160.49968714.160.6190933
1.0070.00302951.170.06818592.170.33645973.170.50105934.170.6201361
1.0080.00346051.180.0718822.180.33845653.180.50242714.180.6211763
1.0090.00389121.190.0755472.190.34044413.190.50379074.190.622214
1.010.00432141.20.07918122.20.34242273.20.505154.20.6232493
1.0110.00475121.210.08278542.210.34439233.210.5065054.210.6242821
1.0120.00518051.220.08635982.220.3463533.220.50785594.220.6253125
1.0130.00560951.230.08990512.230.34830493.230.50920254.230.6263404
1.0140.0060381.240.09342172.240.3502483.240.5105454.240.6273659
1.0150.0064661.250.096912.250.35218253.250.51188344.250.6283889
1.0160.00689371.260.10037052.260.35410843.260.51321764.260.6294096
1.0170.0073211.270.10380372.270.35602593.270.51454784.270.6304279
1.0180.00774781.280.107212.280.35793483.280.51587384.280.6314438
1.0190.00817421.290.11058972.290.35983553.290.51719594.290.6324573
1.020.00860021.30.11394342.30.36172783.30.51851394.30.6334685
1.0210.00902571.310.11727132.310.3636123.310.5198284.310.6344773
1.0220.00945091.320.12057392.320.3654883.320.52113814.320.6354837
1.0230.00987561.330.12385162.330.36735593.330.52244424.330.6364879
1.0240.01031.340.12710482.340.36921593.340.52374654.340.6374897
1.0250.01072391.350.13033382.350.37106793.350.52504484.350.6384893
1.0260.01114741.360.13353892.360.3729123.360.52633934.360.6394865
1.0270.01157041.370.13672062.370.37474833.370.52762994.370.6404814
1.0280.01199311.380.13987912.380.3765773.380.52891674.380.6414741
1.0290.01241541.390.14301482.390.37839793.390.53019974.390.6424645
1.030.01283721.40.1461282.40.38021123.40.53147894.40.6434527
1.0310.01325871.410.14921912.410.3820173.410.53275444.410.6444386
1.0320.01367971.420.15228832.420.38381543.420.53402614.420.6454223
1.0330.01410031.430.1553362.430.38560633.430.53529414.430.6464037
1.0340.01452051.440.15836252.440.38738983.440.53655844.440.647383
1.0350.01494041.450.1613682.450.38916613.450.53781914.450.64836
1.0360.01535981.460.16435292.460.39093513.460.53907614.460.6493349
1.0370.01577881.470.16731732.470.3926973.470.54032954.470.6503075
1.0380.01619741.480.17026172.480.39445173.480.54157924.480.651278
1.0390.01661561.490.17318632.490.39619933.490.54282544.490.6522463
1.040.01703331.50.17609132.50.397943.50.5440684.50.6532125
1.0410.01745071.510.17897692.510.39967373.510.54530714.510.6541765
1.0420.01786771.520.18184362.520.40140053.520.54654274.520.6551384
1.0430.01828431.530.18469142.530.40312053.530.54777474.530.6560982
1.0440.01870051.540.18752072.540.40483373.540.54900334.540.6570559
1.0450.01911631.550.19033172.550.40654023.550.55022844.550.6580114
1.0460.01953171.560.19312462.560.408243.560.551454.560.6589648
1.0470.01994671.570.19589972.570.40993313.570.55266824.570.6599162
1.0480.02036131.580.19865712.580.41161973.580.5538834.580.6608655
1.0490.02077551.590.20139712.590.41329983.590.55509444.590.6618127
1.050.02118931.60.204122.60.41497333.60.55630254.60.6627578
1.0510.02160271.610.20682592.610.41664053.610.55750724.610.6637009
1.0520.02201571.620.2095152.620.41830133.620.55870864.620.664642
1.0530.02242841.630.21218762.630.41995573.630.55990664.630.665581
1.0540.02284061.640.21484382.640.42160393.640.56110144.640.666518
1.0550.02325251.650.21748392.650.42324593.650.56229294.650.667453
1.0560.02366391.660.22010812.660.42488163.660.56348114.660.6683859
1.0570.0240751.670.22271652.670.42651133.670.56466614.670.6693169
1.0580.02448571.680.22530932.680.42813483.680.56584784.680.6702459
1.0590.0248961.690.22788672.690.42975233.690.56702644.690.6711728
1.060.02530591.70.23044892.70.43136383.70.56820174.70.6720979
1.0610.02571541.710.23299612.710.43296933.710.56937394.710.6730209
1.0620.02612451.720.23552842.720.43456893.720.57054294.720.673942
1.0630.02653331.730.23804612.730.43616263.730.57170884.730.6748611
1.0640.02694161.740.24054922.740.43775063.740.57287164.740.6757783
1.0650.02734961.750.2430382.750.43933273.750.57403134.750.6766936
1.0660.02775721.760.24551272.760.44090913.760.57518784.760.677607
1.0670.02816441.770.24797332.770.44247983.770.57634144.770.6785184
1.0680.02857131.780.250422.780.44404483.780.57749184.780.6794279
1.0690.02897771.790.2528532.790.44560423.790.57863924.790.6803355
1.070.02938381.80.25527252.80.4471583.80.57978364.80.6812412
1.0710.02978951.810.25767862.810.44870633.810.5809254.810.6821451
1.0720.03019481.820.26007142.820.45024913.820.58206344.820.683047
1.0730.03059971.830.26245112.830.45178643.830.58319884.830.6839471
1.0740.03100431.840.26481782.840.45331833.840.58433124.840.6848454
1.0750.03140851.850.26717172.850.45484493.850.58546074.850.6857417
1.0760.03181231.860.26951292.860.4563663.860.58658734.860.6866363
1.0770.03221571.870.27184162.870.45788193.870.5877114.870.687529
1.0780.03261881.880.27415782.880.45939253.880.58883174.880.6884198
1.0790.03302141.890.27646182.890.46089783.890.58994964.890.6893089
1.080.03342381.90.27875362.90.4623983.90.59106464.90.6901961
1.0810.03382571.910.28103342.910.4638933.910.59217684.910.6910815
1.0820.03422731.920.28330122.920.46538293.920.59328614.920.6919651
1.0830.03462851.930.28555732.930.46686763.930.59439264.930.6928469
1.0840.03502931.940.28780172.940.46834733.940.59549624.940.6937269
1.0850.03542971.950.29003462.950.4698223.950.59659714.950.6946052
1.0860.03582981.960.29225612.960.47129173.960.59769524.960.6954817
1.0870.03622951.970.29446622.970.47275643.970.59879054.970.6963564
1.0880.03662891.980.29666522.980.47421633.980.59988314.980.6972293
1.0890.03702791.990.29885312.990.47567123.990.60097294.990.6981005
1.090.037426520.3010330.477121340.60206
1.0910.03782482.010.30319613.010.47856654.010.6031444

1.0920.03822262.020.30535143.020.48000694.020.6042261

1.0930.03862022.030.3074963.030.48144264.030.605305

1.0940.03901732.040.30963023.040.48287364.040.6063814

1.0950.03941412.050.31175393.050.48429984.050.607455

1.0960.03981062.060.31386723.060.48572144.060.608526

1.0970.04020662.070.31597033.070.48713844.070.6095944

1.0980.04060232.080.31806333.080.48855074.080.6106602

1.0990.04099772.090.32014633.090.48995854.090.6117233


Common logarithm table from 5 to 9.99


50.6989760.778151370.84509880.9030990.9542425
5.010.69983776.010.77887457.010.8457188.010.90363259.010.9547248
5.020.70070376.020.77959657.020.84633718.020.90417449.020.9552065
5.030.7015686.030.78031737.030.84695538.030.90471559.030.9556878
5.040.70243056.040.78103697.040.84757278.040.9052569.040.9561684
5.050.70329146.050.78175547.050.84818918.050.90579599.050.9566486
5.060.70415056.060.78247267.060.84880478.060.9063359.060.9571282
5.070.7050086.070.78318877.070.84941948.070.90687359.070.9576073
5.080.70586376.080.78390367.080.85003338.080.90741149.080.9580858
5.090.70671786.090.78461737.090.85064628.090.90794859.090.9585639
5.10.70757026.10.78532987.10.85125838.10.9084859.10.9590414
5.110.70842096.110.78604127.110.85186968.110.90902099.110.9595184
5.120.709276.120.78675147.120.852488.120.9095569.120.9599948
5.130.71011746.130.78746057.130.85308958.130.91009059.130.9604708
5.140.71096316.140.78816847.140.85369828.140.91062449.140.9609462
5.150.71180726.150.78887517.150.8543068.150.91115769.150.9614211
5.160.71264976.160.78958077.160.8549138.160.91169029.160.9618955
5.170.71349056.170.79028527.170.85551928.170.91222219.170.9623693
5.180.71432986.180.79098857.180.85612448.180.91275339.180.9628427
5.190.71516746.190.79169067.190.85672898.190.91328399.190.9633155
5.20.71600336.20.79239177.20.85733258.20.91381399.20.9637878
5.210.71683776.210.79309167.210.85793538.210.91434329.210.9642596
5.220.71767056.220.79379047.220.85853728.220.91487189.220.9647309
5.230.71850176.230.7944887.230.85913838.230.91539989.230.9652017
5.240.71933136.240.79518467.240.85973868.240.91592729.240.965672
5.250.72015936.250.795887.250.8603388.250.91645399.250.9661417
5.260.72098576.260.79657437.260.86093668.260.916989.260.966611
5.270.72181066.270.79726757.270.86153448.270.91750559.270.9670797
5.280.72263396.280.79795967.280.86213148.280.91803039.280.967548
5.290.72345576.290.79865067.290.86272758.290.91855459.290.9680157
5.30.72427596.30.79934057.30.86332298.30.91907819.30.9684829
5.310.72509456.310.80002947.310.86391748.310.9196019.310.9689497
5.320.72591166.320.80071717.320.86451118.320.92012339.320.9694159
5.330.72672726.330.80140377.330.8651048.330.9206459.330.9698816
5.340.72754136.340.80208937.340.86569618.340.92116619.340.9703469
5.350.72835386.350.80277377.350.86628738.350.92168659.350.9708116
5.360.72916486.360.80345717.360.86687788.360.92220639.360.9712758
5.370.72997436.370.80413947.370.86746758.370.92272559.370.9717396
5.380.73078236.380.80482077.380.86805648.380.9232449.380.9722028
5.390.73158886.390.80550097.390.86864448.390.9237629.390.9726656
5.40.73239386.40.806187.40.86923178.40.92427939.40.9731279
5.410.73319736.410.8068587.410.86981828.410.9247969.410.9735896
5.420.73399936.420.8075357.420.87040398.420.92531219.420.9740509
5.430.73479986.430.8082117.430.87098888.430.92582769.430.9745117
5.440.73559896.440.80888597.440.87157298.440.92634249.440.974972
5.450.73639656.450.80955977.450.87215638.450.92685679.450.9754318
5.460.73719266.460.81023257.460.87273888.460.92737049.460.9758911
5.470.73798736.470.81090437.470.87332068.470.92788349.470.97635
5.480.73878066.480.8115757.480.87390168.480.92839599.480.9768083
5.490.73957236.490.81224477.490.87448188.490.92890779.490.9772662
5.50.74036276.50.81291347.50.87506138.50.92941899.50.9777236
5.510.74115166.510.8135817.510.87563998.510.92992969.510.9781805
5.520.74193916.520.81424767.520.87621788.520.93043969.520.9786369
5.530.74272516.530.81491327.530.8767958.530.9309499.530.9790929
5.540.74350986.540.81557777.540.87737138.540.93145799.540.9795484
5.550.7442936.550.81624137.550.8779478.550.93196619.550.9800034
5.560.74507486.560.81690387.560.87852188.560.93247389.560.9804579
5.570.74585526.570.81756547.570.87909598.570.93298089.570.9809119
5.580.74663426.580.81822597.580.87966928.580.93348739.580.9813655
5.590.74741186.590.81888547.590.88024188.590.93399329.590.9818186
5.60.7481886.60.81954397.60.88081368.60.93449859.60.9822712
5.610.74896296.610.82020157.610.88138478.610.93500329.610.9827234
5.620.74973636.620.8208587.620.8819558.620.93550739.620.9831751
5.630.75050846.630.82151357.630.88252458.630.93601089.630.9836263
5.640.75127916.640.82216817.640.88309348.640.93651379.640.984077
5.650.75204846.650.82282167.650.88366148.650.93701619.650.9845273
5.660.75281646.660.82347427.660.88422888.660.93751799.660.9849771
5.670.75358316.670.82412587.670.88479548.670.93801919.670.9854265
5.680.75434836.680.82477657.680.88536128.680.93851979.680.9858754
5.690.75511236.690.82542617.690.88592638.690.93901989.690.9863238
5.70.75587496.70.82607487.70.88649078.70.93951939.70.9867717
5.710.75663616.710.82672257.710.88705448.710.94001829.710.9872192
5.720.7573966.720.82736937.720.88761738.720.94051659.720.9876663
5.730.75815466.730.82801517.730.88817958.730.94101429.730.9881128
5.740.75891196.740.82865997.740.8887418.740.94151149.740.988559
5.750.75966786.750.82930387.750.88930178.750.94200819.750.9890046
5.760.76042256.760.82994677.760.88986178.760.94250419.760.9894498
5.770.76117586.770.83058877.770.8904218.770.94299969.770.9898946
5.780.76192786.780.83122977.780.89097968.780.94349459.780.9903389
5.790.76267866.790.83186987.790.89153758.790.94398899.790.9907827
5.80.7634286.80.83250897.80.89209468.80.94448279.80.9912261
5.810.76417616.810.83314717.810.8926518.810.94497599.810.991669
5.820.7649236.820.83378447.820.89320688.820.94546869.820.9921115
5.830.76566866.830.83442077.830.89376188.830.94596079.830.9925535
5.840.76641286.840.83505617.840.89431618.840.94645239.840.9929951
5.850.76715596.850.83569067.850.89486978.850.94694339.850.9934362
5.860.76789766.860.83632417.860.89542258.860.94743379.860.9938769
5.870.76863816.870.83695677.87

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