Question 158
Find the number of solutions of the following system of equations:
$$
\begin{cases} x^2 + y^3 = 29 \\ \log_3 x \cdot \log_2 y = 1. \end{cases}
$$
$$
\begin{cases} x^2 + y^3 = 29 \\ \log_3 x \cdot \log_2 y = 1. \end{cases}
$$
Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)