Expand the Logarithmic Expression log of x/(y^5)

$\log (\frac{x}{y^{5}})$

Rewrite $\log (\frac{x}{y^{5}})$ as $\log (x) - \log (y^{5})$ .

$\log (x) - \log (y^{5})$

Expand $\log (y^{5})$ by moving $5$ outside the logarithm.

$\log (x) - (5 \log (y))$

Multiply $5$ by $- 1$ .

$\log (x) - 5 \log (y)$