Answer
$$5$$
Work Step by Step
$\log_2 {\frac{4}{3}}+\log_2 {24}$
$=\log_2 ({\frac{4}{3}\times {24}})$ {Since $\log{a}+\log{b}=\log{ab}$}
$=\log_2{32}=\log_2{2^5}=5$
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