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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).

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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

Digits after the decimal point: 3
Logarithm to a given base

Common logarithm

Natural logarithm

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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.