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

1	0	1.1	0.0413927	2.1	0.3222193	3.1	0.4913617	4.1	0.6127839
1.001	0.0004341	1.11	0.045323	2.11	0.3242825	3.11	0.4927604	4.11	0.6138418
1.002	0.0008677	1.12	0.049218	2.12	0.3263359	3.12	0.4941546	4.12	0.6148972
1.003	0.0013009	1.13	0.0530784	2.13	0.3283796	3.13	0.4955443	4.13	0.6159501
1.004	0.0017337	1.14	0.0569049	2.14	0.3304138	3.14	0.4969296	4.14	0.6170003
1.005	0.0021661	1.15	0.0606978	2.15	0.3324385	3.15	0.4983106	4.15	0.6180481
1.006	0.002598	1.16	0.064458	2.16	0.3344538	3.16	0.4996871	4.16	0.6190933
1.007	0.0030295	1.17	0.0681859	2.17	0.3364597	3.17	0.5010593	4.17	0.6201361
1.008	0.0034605	1.18	0.071882	2.18	0.3384565	3.18	0.5024271	4.18	0.6211763
1.009	0.0038912	1.19	0.075547	2.19	0.3404441	3.19	0.5037907	4.19	0.622214
1.01	0.0043214	1.2	0.0791812	2.2	0.3424227	3.2	0.50515	4.2	0.6232493
1.011	0.0047512	1.21	0.0827854	2.21	0.3443923	3.21	0.506505	4.21	0.6242821
1.012	0.0051805	1.22	0.0863598	2.22	0.346353	3.22	0.5078559	4.22	0.6253125
1.013	0.0056095	1.23	0.0899051	2.23	0.3483049	3.23	0.5092025	4.23	0.6263404
1.014	0.006038	1.24	0.0934217	2.24	0.350248	3.24	0.510545	4.24	0.6273659
1.015	0.006466	1.25	0.09691	2.25	0.3521825	3.25	0.5118834	4.25	0.6283889
1.016	0.0068937	1.26	0.1003705	2.26	0.3541084	3.26	0.5132176	4.26	0.6294096
1.017	0.007321	1.27	0.1038037	2.27	0.3560259	3.27	0.5145478	4.27	0.6304279
1.018	0.0077478	1.28	0.10721	2.28	0.3579348	3.28	0.5158738	4.28	0.6314438
1.019	0.0081742	1.29	0.1105897	2.29	0.3598355	3.29	0.5171959	4.29	0.6324573
1.02	0.0086002	1.3	0.1139434	2.3	0.3617278	3.3	0.5185139	4.3	0.6334685
1.021	0.0090257	1.31	0.1172713	2.31	0.363612	3.31	0.519828	4.31	0.6344773
1.022	0.0094509	1.32	0.1205739	2.32	0.365488	3.32	0.5211381	4.32	0.6354837
1.023	0.0098756	1.33	0.1238516	2.33	0.3673559	3.33	0.5224442	4.33	0.6364879
1.024	0.0103	1.34	0.1271048	2.34	0.3692159	3.34	0.5237465	4.34	0.6374897
1.025	0.0107239	1.35	0.1303338	2.35	0.3710679	3.35	0.5250448	4.35	0.6384893
1.026	0.0111474	1.36	0.1335389	2.36	0.372912	3.36	0.5263393	4.36	0.6394865
1.027	0.0115704	1.37	0.1367206	2.37	0.3747483	3.37	0.5276299	4.37	0.6404814
1.028	0.0119931	1.38	0.1398791	2.38	0.376577	3.38	0.5289167	4.38	0.6414741
1.029	0.0124154	1.39	0.1430148	2.39	0.3783979	3.39	0.5301997	4.39	0.6424645
1.03	0.0128372	1.4	0.146128	2.4	0.3802112	3.4	0.5314789	4.4	0.6434527
1.031	0.0132587	1.41	0.1492191	2.41	0.382017	3.41	0.5327544	4.41	0.6444386
1.032	0.0136797	1.42	0.1522883	2.42	0.3838154	3.42	0.5340261	4.42	0.6454223
1.033	0.0141003	1.43	0.155336	2.43	0.3856063	3.43	0.5352941	4.43	0.6464037
1.034	0.0145205	1.44	0.1583625	2.44	0.3873898	3.44	0.5365584	4.44	0.647383
1.035	0.0149404	1.45	0.161368	2.45	0.3891661	3.45	0.5378191	4.45	0.64836
1.036	0.0153598	1.46	0.1643529	2.46	0.3909351	3.46	0.5390761	4.46	0.6493349
1.037	0.0157788	1.47	0.1673173	2.47	0.392697	3.47	0.5403295	4.47	0.6503075
1.038	0.0161974	1.48	0.1702617	2.48	0.3944517	3.48	0.5415792	4.48	0.651278
1.039	0.0166156	1.49	0.1731863	2.49	0.3961993	3.49	0.5428254	4.49	0.6522463
1.04	0.0170333	1.5	0.1760913	2.5	0.39794	3.5	0.544068	4.5	0.6532125
1.041	0.0174507	1.51	0.1789769	2.51	0.3996737	3.51	0.5453071	4.51	0.6541765
1.042	0.0178677	1.52	0.1818436	2.52	0.4014005	3.52	0.5465427	4.52	0.6551384
1.043	0.0182843	1.53	0.1846914	2.53	0.4031205	3.53	0.5477747	4.53	0.6560982
1.044	0.0187005	1.54	0.1875207	2.54	0.4048337	3.54	0.5490033	4.54	0.6570559
1.045	0.0191163	1.55	0.1903317	2.55	0.4065402	3.55	0.5502284	4.55	0.6580114
1.046	0.0195317	1.56	0.1931246	2.56	0.40824	3.56	0.55145	4.56	0.6589648
1.047	0.0199467	1.57	0.1958997	2.57	0.4099331	3.57	0.5526682	4.57	0.6599162
1.048	0.0203613	1.58	0.1986571	2.58	0.4116197	3.58	0.553883	4.58	0.6608655
1.049	0.0207755	1.59	0.2013971	2.59	0.4132998	3.59	0.5550944	4.59	0.6618127
1.05	0.0211893	1.6	0.20412	2.6	0.4149733	3.6	0.5563025	4.6	0.6627578
1.051	0.0216027	1.61	0.2068259	2.61	0.4166405	3.61	0.5575072	4.61	0.6637009
1.052	0.0220157	1.62	0.209515	2.62	0.4183013	3.62	0.5587086	4.62	0.664642
1.053	0.0224284	1.63	0.2121876	2.63	0.4199557	3.63	0.5599066	4.63	0.665581
1.054	0.0228406	1.64	0.2148438	2.64	0.4216039	3.64	0.5611014	4.64	0.666518
1.055	0.0232525	1.65	0.2174839	2.65	0.4232459	3.65	0.5622929	4.65	0.667453
1.056	0.0236639	1.66	0.2201081	2.66	0.4248816	3.66	0.5634811	4.66	0.6683859
1.057	0.024075	1.67	0.2227165	2.67	0.4265113	3.67	0.5646661	4.67	0.6693169
1.058	0.0244857	1.68	0.2253093	2.68	0.4281348	3.68	0.5658478	4.68	0.6702459
1.059	0.024896	1.69	0.2278867	2.69	0.4297523	3.69	0.5670264	4.69	0.6711728
1.06	0.0253059	1.7	0.2304489	2.7	0.4313638	3.7	0.5682017	4.7	0.6720979
1.061	0.0257154	1.71	0.2329961	2.71	0.4329693	3.71	0.5693739	4.71	0.6730209
1.062	0.0261245	1.72	0.2355284	2.72	0.4345689	3.72	0.5705429	4.72	0.673942
1.063	0.0265333	1.73	0.2380461	2.73	0.4361626	3.73	0.5717088	4.73	0.6748611
1.064	0.0269416	1.74	0.2405492	2.74	0.4377506	3.74	0.5728716	4.74	0.6757783
1.065	0.0273496	1.75	0.243038	2.75	0.4393327	3.75	0.5740313	4.75	0.6766936
1.066	0.0277572	1.76	0.2455127	2.76	0.4409091	3.76	0.5751878	4.76	0.677607
1.067	0.0281644	1.77	0.2479733	2.77	0.4424798	3.77	0.5763414	4.77	0.6785184
1.068	0.0285713	1.78	0.25042	2.78	0.4440448	3.78	0.5774918	4.78	0.6794279
1.069	0.0289777	1.79	0.252853	2.79	0.4456042	3.79	0.5786392	4.79	0.6803355
1.07	0.0293838	1.8	0.2552725	2.8	0.447158	3.8	0.5797836	4.8	0.6812412
1.071	0.0297895	1.81	0.2576786	2.81	0.4487063	3.81	0.580925	4.81	0.6821451
1.072	0.0301948	1.82	0.2600714	2.82	0.4502491	3.82	0.5820634	4.82	0.683047
1.073	0.0305997	1.83	0.2624511	2.83	0.4517864	3.83	0.5831988	4.83	0.6839471
1.074	0.0310043	1.84	0.2648178	2.84	0.4533183	3.84	0.5843312	4.84	0.6848454
1.075	0.0314085	1.85	0.2671717	2.85	0.4548449	3.85	0.5854607	4.85	0.6857417
1.076	0.0318123	1.86	0.2695129	2.86	0.456366	3.86	0.5865873	4.86	0.6866363
1.077	0.0322157	1.87	0.2718416	2.87	0.4578819	3.87	0.587711	4.87	0.687529
1.078	0.0326188	1.88	0.2741578	2.88	0.4593925	3.88	0.5888317	4.88	0.6884198
1.079	0.0330214	1.89	0.2764618	2.89	0.4608978	3.89	0.5899496	4.89	0.6893089
1.08	0.0334238	1.9	0.2787536	2.9	0.462398	3.9	0.5910646	4.9	0.6901961
1.081	0.0338257	1.91	0.2810334	2.91	0.463893	3.91	0.5921768	4.91	0.6910815
1.082	0.0342273	1.92	0.2833012	2.92	0.4653829	3.92	0.5932861	4.92	0.6919651
1.083	0.0346285	1.93	0.2855573	2.93	0.4668676	3.93	0.5943926	4.93	0.6928469
1.084	0.0350293	1.94	0.2878017	2.94	0.4683473	3.94	0.5954962	4.94	0.6937269
1.085	0.0354297	1.95	0.2900346	2.95	0.469822	3.95	0.5965971	4.95	0.6946052
1.086	0.0358298	1.96	0.2922561	2.96	0.4712917	3.96	0.5976952	4.96	0.6954817
1.087	0.0362295	1.97	0.2944662	2.97	0.4727564	3.97	0.5987905	4.97	0.6963564
1.088	0.0366289	1.98	0.2966652	2.98	0.4742163	3.98	0.5998831	4.98	0.6972293
1.089	0.0370279	1.99	0.2988531	2.99	0.4756712	3.99	0.6009729	4.99	0.6981005
1.09	0.0374265	2	0.30103	3	0.4771213	4	0.60206
1.091	0.0378248	2.01	0.3031961	3.01	0.4785665	4.01	0.6031444
1.092	0.0382226	2.02	0.3053514	3.02	0.4800069	4.02	0.6042261
1.093	0.0386202	2.03	0.307496	3.03	0.4814426	4.03	0.605305
1.094	0.0390173	2.04	0.3096302	3.04	0.4828736	4.04	0.6063814
1.095	0.0394141	2.05	0.3117539	3.05	0.4842998	4.05	0.607455
1.096	0.0398106	2.06	0.3138672	3.06	0.4857214	4.06	0.608526
1.097	0.0402066	2.07	0.3159703	3.07	0.4871384	4.07	0.6095944
1.098	0.0406023	2.08	0.3180633	3.08	0.4885507	4.08	0.6106602
1.099	0.0409977	2.09	0.3201463	3.09	0.4899585	4.09	0.6117233

Common logarithm table from 5 to 9.99

5	0.69897	6	0.7781513	7	0.845098	8	0.90309	9	0.9542425
5.01	0.6998377	6.01	0.7788745	7.01	0.845718	8.01	0.9036325	9.01	0.9547248
5.02	0.7007037	6.02	0.7795965	7.02	0.8463371	8.02	0.9041744	9.02	0.9552065
5.03	0.701568	6.03	0.7803173	7.03	0.8469553	8.03	0.9047155	9.03	0.9556878
5.04	0.7024305	6.04	0.7810369	7.04	0.8475727	8.04	0.905256	9.04	0.9561684
5.05	0.7032914	6.05	0.7817554	7.05	0.8481891	8.05	0.9057959	9.05	0.9566486
5.06	0.7041505	6.06	0.7824726	7.06	0.8488047	8.06	0.906335	9.06	0.9571282
5.07	0.705008	6.07	0.7831887	7.07	0.8494194	8.07	0.9068735	9.07	0.9576073
5.08	0.7058637	6.08	0.7839036	7.08	0.8500333	8.08	0.9074114	9.08	0.9580858
5.09	0.7067178	6.09	0.7846173	7.09	0.8506462	8.09	0.9079485	9.09	0.9585639
5.1	0.7075702	6.1	0.7853298	7.1	0.8512583	8.1	0.908485	9.1	0.9590414
5.11	0.7084209	6.11	0.7860412	7.11	0.8518696	8.11	0.9090209	9.11	0.9595184
5.12	0.70927	6.12	0.7867514	7.12	0.85248	8.12	0.909556	9.12	0.9599948
5.13	0.7101174	6.13	0.7874605	7.13	0.8530895	8.13	0.9100905	9.13	0.9604708
5.14	0.7109631	6.14	0.7881684	7.14	0.8536982	8.14	0.9106244	9.14	0.9609462
5.15	0.7118072	6.15	0.7888751	7.15	0.854306	8.15	0.9111576	9.15	0.9614211
5.16	0.7126497	6.16	0.7895807	7.16	0.854913	8.16	0.9116902	9.16	0.9618955
5.17	0.7134905	6.17	0.7902852	7.17	0.8555192	8.17	0.9122221	9.17	0.9623693
5.18	0.7143298	6.18	0.7909885	7.18	0.8561244	8.18	0.9127533	9.18	0.9628427
5.19	0.7151674	6.19	0.7916906	7.19	0.8567289	8.19	0.9132839	9.19	0.9633155
5.2	0.7160033	6.2	0.7923917	7.2	0.8573325	8.2	0.9138139	9.2	0.9637878
5.21	0.7168377	6.21	0.7930916	7.21	0.8579353	8.21	0.9143432	9.21	0.9642596
5.22	0.7176705	6.22	0.7937904	7.22	0.8585372	8.22	0.9148718	9.22	0.9647309
5.23	0.7185017	6.23	0.794488	7.23	0.8591383	8.23	0.9153998	9.23	0.9652017
5.24	0.7193313	6.24	0.7951846	7.24	0.8597386	8.24	0.9159272	9.24	0.965672
5.25	0.7201593	6.25	0.79588	7.25	0.860338	8.25	0.9164539	9.25	0.9661417
5.26	0.7209857	6.26	0.7965743	7.26	0.8609366	8.26	0.91698	9.26	0.966611
5.27	0.7218106	6.27	0.7972675	7.27	0.8615344	8.27	0.9175055	9.27	0.9670797
5.28	0.7226339	6.28	0.7979596	7.28	0.8621314	8.28	0.9180303	9.28	0.967548
5.29	0.7234557	6.29	0.7986506	7.29	0.8627275	8.29	0.9185545	9.29	0.9680157
5.3	0.7242759	6.3	0.7993405	7.3	0.8633229	8.3	0.9190781	9.3	0.9684829
5.31	0.7250945	6.31	0.8000294	7.31	0.8639174	8.31	0.919601	9.31	0.9689497
5.32	0.7259116	6.32	0.8007171	7.32	0.8645111	8.32	0.9201233	9.32	0.9694159
5.33	0.7267272	6.33	0.8014037	7.33	0.865104	8.33	0.920645	9.33	0.9698816
5.34	0.7275413	6.34	0.8020893	7.34	0.8656961	8.34	0.9211661	9.34	0.9703469
5.35	0.7283538	6.35	0.8027737	7.35	0.8662873	8.35	0.9216865	9.35	0.9708116
5.36	0.7291648	6.36	0.8034571	7.36	0.8668778	8.36	0.9222063	9.36	0.9712758
5.37	0.7299743	6.37	0.8041394	7.37	0.8674675	8.37	0.9227255	9.37	0.9717396
5.38	0.7307823	6.38	0.8048207	7.38	0.8680564	8.38	0.923244	9.38	0.9722028
5.39	0.7315888	6.39	0.8055009	7.39	0.8686444	8.39	0.923762	9.39	0.9726656
5.4	0.7323938	6.4	0.80618	7.4	0.8692317	8.4	0.9242793	9.4	0.9731279
5.41	0.7331973	6.41	0.806858	7.41	0.8698182	8.41	0.924796	9.41	0.9735896
5.42	0.7339993	6.42	0.807535	7.42	0.8704039	8.42	0.9253121	9.42	0.9740509
5.43	0.7347998	6.43	0.808211	7.43	0.8709888	8.43	0.9258276	9.43	0.9745117
5.44	0.7355989	6.44	0.8088859	7.44	0.8715729	8.44	0.9263424	9.44	0.974972
5.45	0.7363965	6.45	0.8095597	7.45	0.8721563	8.45	0.9268567	9.45	0.9754318
5.46	0.7371926	6.46	0.8102325	7.46	0.8727388	8.46	0.9273704	9.46	0.9758911
5.47	0.7379873	6.47	0.8109043	7.47	0.8733206	8.47	0.9278834	9.47	0.97635
5.48	0.7387806	6.48	0.811575	7.48	0.8739016	8.48	0.9283959	9.48	0.9768083
5.49	0.7395723	6.49	0.8122447	7.49	0.8744818	8.49	0.9289077	9.49	0.9772662
5.5	0.7403627	6.5	0.8129134	7.5	0.8750613	8.5	0.9294189	9.5	0.9777236
5.51	0.7411516	6.51	0.813581	7.51	0.8756399	8.51	0.9299296	9.51	0.9781805
5.52	0.7419391	6.52	0.8142476	7.52	0.8762178	8.52	0.9304396	9.52	0.9786369
5.53	0.7427251	6.53	0.8149132	7.53	0.876795	8.53	0.930949	9.53	0.9790929
5.54	0.7435098	6.54	0.8155777	7.54	0.8773713	8.54	0.9314579	9.54	0.9795484
5.55	0.744293	6.55	0.8162413	7.55	0.877947	8.55	0.9319661	9.55	0.9800034
5.56	0.7450748	6.56	0.8169038	7.56	0.8785218	8.56	0.9324738	9.56	0.9804579
5.57	0.7458552	6.57	0.8175654	7.57	0.8790959	8.57	0.9329808	9.57	0.9809119
5.58	0.7466342	6.58	0.8182259	7.58	0.8796692	8.58	0.9334873	9.58	0.9813655
5.59	0.7474118	6.59	0.8188854	7.59	0.8802418	8.59	0.9339932	9.59	0.9818186
5.6	0.748188	6.6	0.8195439	7.6	0.8808136	8.6	0.9344985	9.6	0.9822712
5.61	0.7489629	6.61	0.8202015	7.61	0.8813847	8.61	0.9350032	9.61	0.9827234
5.62	0.7497363	6.62	0.820858	7.62	0.881955	8.62	0.9355073	9.62	0.9831751
5.63	0.7505084	6.63	0.8215135	7.63	0.8825245	8.63	0.9360108	9.63	0.9836263
5.64	0.7512791	6.64	0.8221681	7.64	0.8830934	8.64	0.9365137	9.64	0.984077
5.65	0.7520484	6.65	0.8228216	7.65	0.8836614	8.65	0.9370161	9.65	0.9845273
5.66	0.7528164	6.66	0.8234742	7.66	0.8842288	8.66	0.9375179	9.66	0.9849771
5.67	0.7535831	6.67	0.8241258	7.67	0.8847954	8.67	0.9380191	9.67	0.9854265
5.68	0.7543483	6.68	0.8247765	7.68	0.8853612	8.68	0.9385197	9.68	0.9858754
5.69	0.7551123	6.69	0.8254261	7.69	0.8859263	8.69	0.9390198	9.69	0.9863238
5.7	0.7558749	6.7	0.8260748	7.7	0.8864907	8.7	0.9395193	9.7	0.9867717
5.71	0.7566361	6.71	0.8267225	7.71	0.8870544	8.71	0.9400182	9.71	0.9872192
5.72	0.757396	6.72	0.8273693	7.72	0.8876173	8.72	0.9405165	9.72	0.9876663
5.73	0.7581546	6.73	0.8280151	7.73	0.8881795	8.73	0.9410142	9.73	0.9881128
5.74	0.7589119	6.74	0.8286599	7.74	0.888741	8.74	0.9415114	9.74	0.988559
5.75	0.7596678	6.75	0.8293038	7.75	0.8893017	8.75	0.9420081	9.75	0.9890046
5.76	0.7604225	6.76	0.8299467	7.76	0.8898617	8.76	0.9425041	9.76	0.9894498
5.77	0.7611758	6.77	0.8305887	7.77	0.890421	8.77	0.9429996	9.77	0.9898946
5.78	0.7619278	6.78	0.8312297	7.78	0.8909796	8.78	0.9434945	9.78	0.9903389
5.79	0.7626786	6.79	0.8318698	7.79	0.8915375	8.79	0.9439889	9.79	0.9907827
5.8	0.763428	6.8	0.8325089	7.8	0.8920946	8.8	0.9444827	9.8	0.9912261
5.81	0.7641761	6.81	0.8331471	7.81	0.892651	8.81	0.9449759	9.81	0.991669
5.82	0.764923	6.82	0.8337844	7.82	0.8932068	8.82	0.9454686	9.82	0.9921115
5.83	0.7656686	6.83	0.8344207	7.83	0.8937618	8.83	0.9459607	9.83	0.9925535
5.84	0.7664128	6.84	0.8350561	7.84	0.8943161	8.84	0.9464523	9.84	0.9929951
5.85	0.7671559	6.85	0.8356906	7.85	0.8948697	8.85	0.9469433	9.85	0.9934362
5.86	0.7678976	6.86	0.8363241	7.86	0.8954225	8.86	0.9474337	9.86	0.9938769
5.87	0.7686381	6.87	0.8369567	7.87