INMO 1987 Problem 1

Given $m$ and $n$ as relatively prime positive integers greater than one, show that $\frac{\log_{10} m}{\log_{10} n}$ is not a rational number.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.