MathDB
Inequality with expenential functions and logarithms

Source: Moldova MO 2007 12th grade day I problem 3

March 3, 2007
inequalitiesfunctionlogarithmsalgebra proposedalgebra

Problem Statement

For a,b∈[1;∞)a,b \in [1;\infty) show that ab≤ea−1+bln⁡bab\leq e^{a-1}+b\ln b
Back to ProblemsView on AoPS