# Taking The Logarithm

## 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 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 we may use the relationship log (1/3) log 2 + (1/3) log sin 50° and then tables of logarithms.

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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:
By taking the logarithm in Stirling's Formula, [lim.
Substituting the last expression into equation (1) and taking the logarithm of both sides, one obtains:
Taking the logarithm derivative from both sides of (22) we get
Rearranging Eq 7 and taking the logarithm of both sides yields
Taking the logarithm computation on both sides of the above, we get

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