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# Logarithmic functions

Logarithmic functions have the form $$f(x)=\log_b x$$, where $$b$$ is the base.

They are the inverse of Exponential functions such that $$\log_b x = y \iff x = b^y$$.

## Identities

$\log_b m \times n = \log_b m + \log_b n$ $\log_b \frac m n = \log_b m - \log_b n$ $\log_b m^n = n \log_b m$ $\log_b 1 = 0$ $\log_b b = 1$