Answer
$x=1.5$
Work Step by Step
Let's first move all the constants to one side of the equation. To do this, add 5 to both sides.
That yields,
$4^x=8$
We can rewrite this equation to make it easier for us, since $2^2=4$, and $2^3=9$
$2^{2x}=2^3$.
Then, $2x=3$
And finally $x=1.5$