# Taking The Logarithm

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Logarithm, Taking The

the operation of finding the logarithm of a numerical, algebraic, or other expression. Taking the logarithm is one of two operations that are the inverse of raising to a power. If *a ^{b} = c*, then and

*b*= log

_{a}

*c*. Taking the logarithm is used in practical computations to reduce the operations of multiplication, division, raising to a power, and extraction of a root to the operations of addition, subtraction, multiplication, and division. For example, in order to approximate we may use the relationship log (1/3) log 2 + (1/3) log sin 50° and then tables of logarithms.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.