Answer:
2.5
Step-by-step explanation:
We are given that [tex]\log _{4} (2)= 0.5[/tex]
32 is a power of 2
32 = [tex]2^5[/tex]
So, we can rewrite [tex]\log _{4} (32)[/tex] as [tex]\log _{4} (2^5)[/tex]
A property of logs is that [tex]\log x^n = n \log x[/tex]
So, [tex]\log_{4}(2^5) = 5\log_{4}2=5*0.5 = 2.5[/tex]
