# How do you solve for log_4 x = 3?

Dec 9, 2015

I found $x = 64$

#### Explanation:

You can find $x$ by changing the log into an exponential taking the base, $4$, from the left and "pushing up" $3$ on the right:
${\log}_{4} x = 3$
so:
$x = {4}^{3} = 64$

hope it helps!