Answer:
5
Step-by-step explanation:
The inverse of [tex]f(x)=2^x[/tex] is [tex]g(x)=\log_2(x)[/tex].
[tex]g(32)=\log_2(32)[/tex]
[tex]\log_2(32)=5[/tex] since [tex]2^5=32[/tex].
[tex]g(32)=\log_2(32)=5[/tex]
Note: In general, the inverse of [tex]f(x)=a^x[/tex] is [tex]g(x)=\log_a(x)[/tex].
