Answer
$92$
Work Step by Step
Note that $16=2^4$.
Thus, the given expression is equivalent to:
$=\log_2{[(2^4)^{23}]}$
Using the rule $(a^m)^n=a^{mn}$, the expression above simplifies to:
$=\log_2{(2^{4\cdot 23})}
\\=\log_2{(2^{92})}$
RECALL:
$\log_a{(a^k)} = k$
Use the rule above to obtain:
$\log_2{(2^{92})} = 92$
