Evaluating logarithms (ACT). Game on.

$\log_{2}4 = 2$ and $\log_{2}2 = 1\textsf{.}$ Adding gives $2 + 1 = 3\textsf{.}$

$2^{4} = 16\textsf{,}$ so $\log_{2}16 = 4\textsf{.}$

$3^{2} = 9\textsf{,}$ so $\log_{3}9 = 2\textsf{.}$

$3^{3} = 27\textsf{,}$ so $\log_{3}27 = 3\textsf{.}$

$2^{5} = 32\textsf{,}$ so $\log_{2}32 = 5\textsf{.}$

$10^{3} = 1{,}000\textsf{,}$ so $\log_{10}1{,}000 = 3\textsf{.}$

$5^{3} = 125\textsf{,}$ so $\log_{5}125 = 3\textsf{.}$

$4^{2} = 16\textsf{,}$ so $\log_{4}16 = 2\textsf{.}$