Answer
Makes sense.
Work Step by Step
The logarithmic form is obtained from the definition of logarithms:
$ y=\log_{b}x \Leftrightarrow x=b^{y}$
So, if $4^{x}=15$, then $ x=\log_{4}15$, which we find using a calculator (and maybe change-of-base, if needed).
Makes sense.