Answer:
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
then
[tex]log_{\frac{1}{3} }[/tex] x = 4 , then
x = [tex](\frac{1}{3}) ^{4}[/tex] = [tex]\frac{1}{3^{4} }[/tex] = [tex]\frac{1}{81}[/tex]
