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Regional Olympiad - FBH 2012 Grade 11 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2012

September 25, 2018
inequalitiesalgebra

Problem Statement

For which real numbers xx and α\alpha inequality holds: log2x+logx2+2cosα0\log _2 {x}+\log _x {2}+2\cos{\alpha} \leq 0