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MathNet 2019-part-06 — 184 problems (EN–VI) Question 18

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 18

Find all pairs of positive integers $(m, n)$ such that
$$
125 \cdot 2^{n} - 3^{m} = 271.
$$