Answer
7
Work Step by Step
$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$
$\log_2 128$
Rewrite 128 as $2^7$ [Note: $2^7 = 2\times2\times2\times2\times2\times2\times2 = 128$]
$$\log_2 2^7$$
Use the Third Property of Logarithms: $\log_a a^x = x$
$$\log_2 2^7 = 7$$