#### Answer

please see image

#### Work Step by Step

The graph of y=$\log_{4}x$ is obtained from y=$4^{x}$ by reflecting across the line y=x.
Steps :
1. (red) Draw the graph of y=$4^{x} $ .
Plot several points (see table in the image) and join with a smooth curve
2. Use the coordinates from the points and swap x an y in each to obtain new points.
3. (yellow dashed) Draw the line y=x
4. The points in step 2 are reflections of points in step 1 about the line y=x
5. (blue) Join the points from step 2 with a smooth curve, so it becomes the reflection (about the line y=x) of the graph of y=$4^{x}$