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Proof without Words: The Arithmetic-Logarithmic-Geometric Mean Inequality

by Roger B. Nelsen

This article originally appeared in:
Mathematics Magazine
October, 1995

Subject classification(s): Inequalities | Algebra | Algebra and Number Theory
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

It is shown that (b - a)/(ln b - ln a) fits between the arithmetic and geometric mean.

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