Question 142
Determine the integers $x, y$ for which
$$
5^{x}-\log_{2}(y+3)=3^{y} \text{ and } 5^{y}-\log_{2}(x+3)=3^{x}.
$$
$$
5^{x}-\log_{2}(y+3)=3^{y} \text{ and } 5^{y}-\log_{2}(x+3)=3^{x}.
$$
MathNet 2015-part-04 — 191 problems (EN–VI) Question 142
Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)