# How do you graph y=log_5x?

Mar 4, 2017

The standard graph of $\ln x$ scaled by $\frac{1}{\ln} 5$

#### Explanation:

$y = {\log}_{5} x$

Since ${\log}_{a} x = \ln \frac{x}{\ln} a$

$y = \ln \frac{x}{\ln} 5$

Hence the graph of $y$ is the standard graph of $\ln x$ scaled by $\frac{1}{\ln} 5$ and is shown below.

graph{lnx/ln5 [-1.153, 6.643, -2.684, 1.212]}