MathDB

1

Part of 2008 Vietnam National Olympiad

Problems(1)

x^2 + y^3 = 29 and log_3(x) * log_2(y) = 1

Source: Vietnam MO 2008, Problem 1

8/26/2008
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.
logarithmscalculuslimitalgebra unsolvedalgebra