It is given that ${{\log }_{x}}8=\frac{3}{4}$, evaluate ${{\log }_{4}}\left( \frac{1}{{{x}^{2}}} \ri

Question

It is given that ${{\log }_{x}}8=\frac{3}{4}$, evaluate ${{\log }_{4}}\left( \frac{1}{{{x}^{2}}} \right)$.

Accepted Answer

${{\log }_{4}}\left( \frac{1}{{{x}^{2}}} \right)=-4$

Logarithmic Expression Evaluation