Question 164
Solve the system
$$
\begin{cases}
x^{\log y} + \sqrt{y^{\log x}} = 110 \\
xy = 1000
\end{cases}
$$
$$
\begin{cases}
x^{\log y} + \sqrt{y^{\log x}} = 110 \\
xy = 1000
\end{cases}
$$
Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)