Exponential and Logarithmic Functions - Solving Logarithm Equations

Exponential and Logarithmic Functions - Solving Logarithm Equations

TGM Original Questions

Solve \({{\log }_{2}}\left( 5-x \right)-{{\log }_{4}}\left( {{x}^{2}}-6x+3 \right)=3{{\log }_{27}}3\).

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Answer:\(x=(7-2\sqrt{22})/3\approx-0.794\) (3 s.f.).

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