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Regional Olympiad - FBH 2014 Grade 11 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014

September 24, 2018
logarithmsalgebraequation

Problem Statement

Solve logarithmical equation xlog3x1+2(x1)log3x=3x2x^{\log _{3} {x-1}} + 2(x-1)^{\log _{3} {x}}=3x^2