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Luca Ziegler · Answer 1 · 2023-09-11T21:16:48+0000

Given:

$\log_2(32)$

First, we will write the expression in the following form:

$\log_a(a^b)$

We can rewrite 32 as:

With this, we now have:

$\begin{gathered} \operatorname{\log}_2(32)=\operatorname{\log}_2(2^5) \\ \operatorname{\log}_a(a^b)=b \\ \Rightarrow\operatorname{\log}_2(2^5)=5 \end{gathered}$

Therefore, the answer would be 5

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