# Question #aae31

Jan 5, 2017

$z = 3 + \frac{\log x}{\log \left(x y\right)}$

#### Explanation:

${\left(x y\right)}^{z} = {\left(x y\right)}^{3} x$ now applying $\log$ to both sides

$z \log \left(x y\right) = 3 \log \left(x y\right) + \log x$ and grouping

$\left(z - 3\right) \log \left(x y\right) = \log x$ and finally

$z = 3 + \frac{\log x}{\log \left(x y\right)}$