MathDB
Creatively titled geometry

Source: 2006 AIME II 2

March 28, 2006
geometrylogarithmsAMCtriangle inequality

Problem Statement

The lengths of the sides of a triangle with positive area are log1012\log_{10} 12, log1075\log_{10} 75, and log10n\log_{10} n, where nn is a positive integer. Find the number of possible values for nn.