Simplify/Condense 5 log of x-4 log of y

$5 \log (x) - 4 \log (y)$

Simplify each term.

Simplify $5 \log (x)$ by moving $5$ inside the logarithm.

$\log (x^{5}) - 4 \log (y)$

Simplify $- 4 \log (y)$ by moving $4$ inside the logarithm.

$\log (x^{5}) - \log (y^{4})$

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{x^{5}}{y^{4}})$