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MathNet 2017-part-01 — 176 problems (EN–VI) Question 88

Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)

Question 88

We know that
$$
\frac{8^{x}}{2^{x+y}}=64 \text{ and } \frac{9^{x+y}}{3^{4 y}}=243
$$
Determine the value of $2 x y$.