Answer
92
Work Step by Step
$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$
$\log_2 16^{23}$
Use the Third Law of Logarithms: $\log x^a = a\log x$
$$\log_2 16^{23} = 23\log_2 16$$
Rewrite 16 as $2^4$
$$23\log_2 2^4$$
Use the Third Property of Logarithms: $\log_a a^x = x$
$$23\log_2 2^4 = 23\times4 = 92$$