Answer
See the picture below:
Work Step by Step
In order to graph the function, we have to calculate some points on the curve:
If x=1 $\log_{4}(1-1)$ diverges to $-\infty$
If x=2 $f(x)=\log_{4}(2-1)=0$
If x=3 $f(x)=\log_{4}(3-1)=0.5$
If x=5 $f(x)=\log_{4}(5-1)=1$
If x=17 $f(x)=\log_{4}(17-1)=2$
By connecting these points, we can plot the curve.