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MathNet 2008-part-02 — 165 problems (EN–VI) Question 164

Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)

Question 164

Solve the system
$$
\begin{cases}
x^{\log y} + \sqrt{y^{\log x}} = 110 \\
xy = 1000
\end{cases}
$$