Expand the Logarithmic Expression log of (x^6y)/z

$\log (\frac{x^{6} y}{z})$

Rewrite $\log (\frac{x^{6} y}{z})$ as $\log (x^{6} y) - \log (z)$ .

$\log (x^{6} y) - \log (z)$

Rewrite $\log (x^{6} y)$ as $\log (x^{6}) + \log (y)$ .

$\log (x^{6}) + \log (y) - \log (z)$

Expand $\log (x^{6})$ by moving $6$ outside the logarithm.

$6 \log (x) + \log (y) - \log (z)$