# What does a logarithmic function look like?

May 1, 2018

The reflection of the exponential function on the axis $y = x$

#### Explanation:

Logarithms are the inverse of an exponential function, so for $y = {a}^{x}$, the log function would be $y = {\log}_{a} x$.

So, the log function tell you what power $a$ has to be raised to, to get $x$.

Graph of $\ln x$:
graph{ln(x) [-10, 10, -5, 5]}

Graph of ${e}^{x}$:
graph{e^x [-10, 10, -5, 5]}