x^2 + y^3 = 29 and log_3(x) * log_2(y) = 1
Source: Vietnam MO 2008, Problem 1
August 26, 2008
logarithmscalculuslimitalgebra unsolvedalgebra
Problem Statement
Determine the number of solutions of the simultaneous equations x^2 \plus{} y^3 \equal{} 29 and \log_3 x \cdot \log_2 y \equal{} 1.