# How do you find the inverse of y=log_9x?

Oct 21, 2016

Inverse function of $y = {\log}_{9} x$ is $y = {9}^{x}$

#### Explanation:

As $y = {\log}_{9} x$,

we have $x = {9}^{y}$

Hence inverse function of $y = {\log}_{9} x$ is

$y = {9}^{x}$