Exponential and Logarithmic Functions - Solving Logarithm Equations

Exponential and Logarithmic Functions - Solving Logarithm Equations

TGM Original Questions

Solve the equation \(2{{\log }_{3}}9-{{\log }_{3}}\left( 2x-2 \right)=5+{{\log }_{3}}\left( 4x-5 \right)\).

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Answer:\(x=(27+\sqrt{33})/24\approx1.36\) (3 s.f.).

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