# How do you find the inverse of y=4^x and is it a function?

Apr 15, 2016

Inverse function of $y = {4}^{x}$ is $y = 0.7213 \ln x$

#### Explanation:

As $y = {4}^{x}$

$x = {\log}_{4} y = \ln \frac{y}{\ln} 4 = 0.7213 \ln y$

Hence inverse function of $y = {4}^{x}$ is

$y = 0.7213 \ln x$