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MathNet 2016-part-05 — 184 problems (EN–VI) Question 84

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 84

Find all real numbers $x$ and $y$ that solve the system of equations
$$
\log_3 x^2 + \log_2 y^3 = 1,
$$
$$
\log_9 x^4 + \log_4 y^9 = 2.
$$