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 It might be outdated or ideologically biased.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 ab = c, then Logarithm, Taking the and b = logac. 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 Logarithm, Taking the we may use the relationship log Logarithm, Taking the (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.
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that is experimentally measured by adding the molecule to an octanol/water mixture (OW) and by taking the logarithm of the ratio [[K.sub.(OW)]] of the amount that dissolves in the octanol phase to the amount that dissolves in the water phase.
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Taking the logarithm of both sides of Equation 5, Equation 6 is obtained,
For isothermal conditions, taking the logarithm of Eq 4 gives:
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Substituting the last expression into equation (1) and taking the logarithm of both sides, one obtains:
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