Answer
$6$
Work Step by Step
The given expression is equivalent to:
\begin{align*}
&=\log_2{\left((2)(2)(2)(2)(2)(2)\right)}\\
&=\log_2{\left(2^6\right)}
\end{align*}
RECALL:
$$\log_a{\left(a^n\right)}=n$$
Use the rule above to obtain:
\begin{align*}
\log_2{\left(2^6\right)}&=6
\end{align*}