Expand the Logarithmic Expression log of (x^9)/(y^4)

$\log (\frac{x^{9}}{y^{4}})$

Rewrite $\log (\frac{x^{9}}{y^{4}})$ as $\log (x^{9}) - \log (y^{4})$ .

$\log (x^{9}) - \log (y^{4})$

Expand $\log (x^{9})$ by moving $9$ outside the logarithm.

$9 \log (x) - \log (y^{4})$

Expand $\log (y^{4})$ by moving $4$ outside the logarithm.

$9 \log (x) - (4 \log (y))$

Multiply $4$ by $- 1$ .

$9 \log (x) - 4 \log (y)$