# 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).

The *Logarithm* is the inverse operation to exponentiation. Suppose we have the exponentiation , then the logarithm of *N* with base *a* equals to *x*, or

To compute the logarithm with an arbitrary base, just enter your number and base in the corresponding calculator fields:

The calculator uses the following formula to get the algorithm with arbitrary base:

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

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