Question 147
Find all integer numbers $m$ and $n$ such that
$$
(5 + 3\sqrt{2})^m = (3 + 5\sqrt{2})^n.
$$
$$
(5 + 3\sqrt{2})^m = (3 + 5\sqrt{2})^n.
$$
MathNet 2022-part-04 — 197 problems (EN–VI) Question 147
Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)