Question 15
Find all pairs of integers $(x, y)$, for which
$$
2^x + \log_3 x = y^2 \text{ and } 2^y + \log_3 y = x^2.
$$
$$
2^x + \log_3 x = y^2 \text{ and } 2^y + \log_3 y = x^2.
$$
MathNet 2017-part-05 — 176 problems (EN–VI) Question 15
Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)