# Logarithm

From ACT Wiki

1.

The mathematical function which is the inverse of "raising to the power of".

Often abbreviated to "log".

**Example**

Working with logarithms to the base 10:

log_{10}(100) = 2

And 10^{2} = 100

More generally, with logarithms to the base n:

log_{n}(x) = the power which, when 'n' is raised to it = x

**Example**

10^{(log10(x))} = x

And, more generally:

n^{(logn(x))} = x

2.

The logarithm to the base 10.