Question 174
Find all integers $x, y$ such that
$$
5^x - \log_2 (y+3) = 3^y \quad \text{and} \quad 5^y - \log_2 (x+3) = 3^x.
$$
$$
5^x - \log_2 (y+3) = 3^y \quad \text{and} \quad 5^y - \log_2 (x+3) = 3^x.
$$
MathNet 2015-part-04 — 191 problems (EN–VI) Question 174
Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)