Expand the Logarithmic Expression log of xyz^2

$\log (x y z^{2})$

Step 1

Rewrite $\log (x y z^{2})$ as $\log (x y) + \log (z^{2})$ .

$\log (x y) + \log (z^{2})$

Step 2

Rewrite $\log (x y)$ as $\log (x) + \log (y)$ .

$\log (x) + \log (y) + \log (z^{2})$

Step 3

Expand $\log (z^{2})$ by moving $2$ outside the logarithm.

$\log (x) + \log (y) + 2 \log (z)$