#### Answer

$2$$\log x$ +$\log y$ - $\log z$

#### Work Step by Step

we can expand $\log (\frac{x^2y}{z})$ to get _______
Through observation we can see that the variables $x^{2}$ and $y$ are being multiplied which are then divided by $z$. This comes out to reveal that the first law and the second law are present.
We can rewrite the problem as:
$\log x^2$ + $\log y$ - $\log z$
$\log x^2$ follows the third law so we can expand the statement again to $2$$\log x$ +$\log y$ - $\log z$