Question 96
Suppose $x$, $y$, and $z$ are real numbers greater than $1$ such that
$$
\begin{aligned}
& x^{\log_{y} z} = 2 \\
& y^{\log_{z} x} = 4, \text{ and } \\
& z^{\log_{x} y} = 8
\end{aligned}
$$
Compute $\log_{x} y$.
$$
\begin{aligned}
& x^{\log_{y} z} = 2 \\
& y^{\log_{z} x} = 4, \text{ and } \\
& z^{\log_{x} y} = 8
\end{aligned}
$$
Compute $\log_{x} y$.