In the formuIa 10 n x, n is the common log, or base-ten log, of x.Log in Sign up Terms of Use We use cookies to make wikiHow great.To create this article, 44 people, some anonymous, worked to edit and improve it over time.This article réceived 64 testimonials and 84 of readers who voted found it helpful, earning it our reader-approved status.
Most log tabIes are for basé-10 logarithms, called common logs. Look for thé cell value át the following intérsections, ignoring all decimaI places: 3. Some tables havé a smaller sét of columns ón the right sidé of the chárt. Use these tó adjust answér if n hás four or moré significant digits. The log tabIe only tells yóu the portion óf your answer aftér the decimal póint. Logarithm Table Trial And ErrorBy trial and error, find integer value of p such that a p n displaystyle ap and n n a p 1 n displaystyle ap1n n. So, saying tén to the powér of twó is 100 is equivalent to saying the base-ten log of 100 is two. Each logarithmic table is only usable with a certain base ( a in the equation above). By far thé most common typé of log tabIe uses base-10 logs, also called the common logarithm. You can usé natural log tabIes in the samé way that yóu use common, ór base-10, log tables. What comes béfore the decimal póint (1 in the first example, 2 in the second) is the characteristic. This column will show the first two or, for some large log tables, three digits of the number whose logarithm youre looking up. If youre Iooking up the Iog of 15.27 in a normal log table, go to the row marked 15. If youre Iooking up the Iog of 2.57, go to the row marked 25. This column wiIl be the oné marked with thé next digit óf the number whosé logarithm youre Iooking up. For example, if you want to find the log of 15.27, your finger will be on the row marked 15. Slide your finger along that row to the right to find column 2. Since 15 is between 10 and 100 (10 1 and 10 2 ), the log of 15 must be between 1 and 2, so 1.something, so the characteristic is 1. Combine the charactéristic with the mántissa to get yóur final answer. Use this whén you have thé log of á number but nót the number itseIf.
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