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Regional Olympiad - FBH 2017 Grade 11 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2017

September 19, 2018
parameterizationalgebralogarithmsinequalities

Problem Statement

In terms of real parameter aa solve inequality: logax+a+logaxlogxaalogxa\log _{a} {x} + \mid a+\log _{a} {x} \mid \cdot \log _{\sqrt{x}} {a} \geq a\log _{x} {a} in set of real numbers