Exponential and Logarithmic Functions - Solving Logarithm Equations

Exponential and Logarithmic Functions - Solving Logarithm Equations

TGM Original Questions

Solve each of the following equations.

\(\ln \left( 3x \right)=8\)
\({{\log }_{x}}81=3\)
\(\ln \left( 5x \right)=7\)
\({{\log }_{k}}625=4\)

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Answer:(a) \(x=\dfrac{e^{8}}{3}\) (b) \(x=3^{\frac{4}{3}}\) (c) \(x=\dfrac{e^{7}}{5}\) (d) \(k=5\)

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