Expand the Logarithmic Expression log of (x^3y)/z

$\log (\frac{x^{3} y}{z})$

Rewrite $\log (\frac{x^{3} y}{z})$ as $\log (x^{3} y) - \log (z)$ .

$\log (x^{3} y) - \log (z)$

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

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

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

$3 \log (x) + \log (y) - \log (z)$