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# Logarithm

##### This online calculator produces the logarithm of a given number with a given base. It computes also the natural logarithm and the common logarithm (decimal logarithm).
Timur2010-03-26 20:50:01

The Logarithm is the inverse operation to exponentiation. Suppose we have the exponentiation $N=x^a$, then the logarithm of N with base a equals to x, or $x=log_{a}{N}$
To compute the logarithm with an arbitrary base just enter your number and base in the corresponding calculator fields:

##### Logarithm

The calculator uses the following formula to get the algorithm with arbitrary base:
$log_a b =\frac{log_c b}{log_c a}$

In addition the calculator gives a base-10 logarithm (common logarithm) and natural logarithm of the given number.

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