Answer
$ y=4^{x} \quad$ - red graph
$ y=\log_{4}x\quad$ - blue graph
Work Step by Step
$y=4^{x}$ and $y=\log_{4}x$ are graphs of inverse functions.
They are reflected about the line $y=x.$
$1.$
Create a table of function values.
$\left[\begin{array}{lllllll}
x & -2 & -1 & 0 & 1/2 & 1 & 2\\
y=4^{x} & 1/16 & 1/4 & 0 & 2 & 4 & 16
\end{array}\right]$
Plot the points and join with a smooth curve.
$2. $
Graph the line $y=x$, and then, using the (x,y) points from the table in (1),
plot the points (y,x), which are their reflections across the line $y=x$.
Connect the reflected points. This is the graph of $y=\log_{4}x$
