olymmath

RU-ALLRUSSIAN 1984 Problem 9

    Find all integers m, n such that (5+32)m=(3+52)n(5 + 3\sqrt{2})^{\mathrm{m}} = (3 + 5\sqrt{2})^{\mathrm{n}} .

    Dataset text NuminaMath olympiads. Quoted with source.

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