Answer: 5
Step-by-step explanation:
[tex]log_{2}[/tex] 32
32 can be written in index form as 2x2x2x2x2 , which could be written as [tex]2^{5}[/tex].
[tex]log_{2}[/tex] 32 the becomes
[tex]log_{2}[/tex] [tex]2^{5}[/tex]
Which could be written as
5 [tex]log_{2}[/tex] 2
From law of logarithms; [tex]log_{2}[/tex] 2 = 1
Therefore : 5 [tex]log_{2}[/tex] 2 = 5 x 1 = 5
