MathDB
OMK 2010

Source: Malaysia National Olympiad 2010 Sulung Category Problem 8

June 4, 2011
logarithmsinequalitiesinequalities unsolved

Problem Statement

Show that log⁡abc+log⁡bca+log⁡cab≥4(log⁡abc+log⁡bca+log⁡cab)\log_{a}bc+\log_bca+\log_cab \ge 4(\log_{ab}c+\log_{bc}a+\log_{ca}b) for all a,b,ca,b,c greater than 1.
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