Expand the Logarithmic Expression log of x^3y^5

$\log (x^{3} y^{5})$

Rewrite $\log (x^{3} y^{5})$ as $\log (x^{3}) + \log (y^{5})$ .

$\log (x^{3}) + \log (y^{5})$

Expand $\log (x^{3})$ by moving $3$ outside the logarithm.

$3 \log (x) + \log (y^{5})$

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

$3 \log (x) + 5 \log (y)$