Solve logarithmical equation $x^{\log _{3} {x-1}} + 2(x-1)^{\log _{3} {x}}=3x^2$
Problem
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014
Tags: logarithms, algebra, equation
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014
Tags: logarithms, algebra, equation
Solve logarithmical equation $x^{\log _{3} {x-1}} + 2(x-1)^{\log _{3} {x}}=3x^2$