A beautiful inequality problem from Mathematical Circles Russian Experience . we provide sequential hints . key idea is to use arithmetic mean , geometric mean inequality.
Regional Math Olympiad (RMO) 2019 is the second level Math Olympiad Program in India involving Number Theory, Geometry, Algebra and Combinatorics.
Beautiful application of Logarithm and Diophantine Equation in American Mathematics Competition (2019) 12A
The problem is a beautiful application of the techniques in Diophantine Equation from Costa Rica Math Olympiad 2010.