Question 1
Determine the number of real solutions $(x,y)$ of the system
$$\begin{cases}x^2+y^3=29,\\[3pt]\log_3x\cdot\log_2y=1.\end{cases}$$
$$\begin{cases}x^2+y^3=29,\\[3pt]\log_3x\cdot\log_2y=1.\end{cases}$$
VMO 2008 — National examination Question 1
VMO · VMO 2008 — National examination