Answer
See the picture below:
Work Step by Step
In order to graph the function, we have to calculate some points on the curve:
$\log_{4}0$ diverges to $-\infty$
$\log_{4}1=0$
$\log_{4}2=\frac{1}{2}$
$\log_{4}4=1$
$\log_{4}16=2$
By connecting these points, we can plot the curve.