MathDB
Logarithm

Source: 1997 National High School Mathematics League, Exam One, Problem 12

March 4, 2020
logarithms

Problem Statement

Let a=lg⁡z+lg⁡[x(yz)−1+1],b=lg⁡x−1+lg⁡(xyz+1),c=lg⁡y+lg⁡[(xyz)−1+1]a=\lg z+\lg\left[x(yz)^{-1}+1\right],b=\lg x^{-1}+\lg(xyz+1),c=\lg y+\lg\left[(xyz)^{-1}+1\right], if M=max⁡{a,b,c}M=\max\{a,b,c\}, then the minumum value of MM is________.
Back to ProblemsView on AoPS