VMO 2008 Problem 1

Determine the number of solutions of the simultaneous equations $x^2 + y^3 = 29$ and $\log_3 x \cdot \log_2 y = 1.$

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.