Answer:
4
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]
Note that 256 = [tex]4^{4}[/tex], hence
[tex]4^{4}[/tex] = [tex]4^{n}[/tex]
Since the bases are equal ( both 4) equate the exponents, hence
n = 4
