Given:
[tex]\log_2(32)[/tex]
First, we will write the expression in the following form:
[tex]\log_a(a^b)[/tex]
We can rewrite 32 as:
[tex]32=2^5[/tex]
With this, we now have:
[tex]\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}[/tex]
Therefore, the answer would be 5
