Answer:
C
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
let [tex]log_{4}[/tex] 256 = n , then
256 = [tex]4^{n}[/tex]
256 = [tex]4^{4}[/tex] , so
[tex]4^{4}[/tex] = [tex]4^{n}[/tex] , thus n = 4
That is
[tex]log_{4}[/tex] 256 = 4