Question

solve ${\log }_5\frac{\sqrt[4]{425}}{625}$

Answer 1

${\log }_5\frac{\sqrt[4]{425}}{625}$

$={\log }_5\frac{5^{2/4}}{5^4}$

$={\log }_5\frac{5^{1/2}}{5^4}$

$={\log }_5{5}^{-7/4}$

$=-\frac{7}{4}\times 1$

$=-\frac{7}{4}$