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Exponential and Logarithmic Functions - Solving Logarithm Equations

Exponential and Logarithmic Functions - Solving Logarithm Equations

Solve each of the following equations.

  1. \(\ln 4x=5\)
  1. \({{\log }_{x}}16=4\)
  1. \(\ln (3x)=6\)
  1. \({{\log }_{k}}81=2\)

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Answer:(a) \(x=\frac{1}{4}{{e}^{5}}\) (b) \(x=2\) (c) \(x=\frac{1}{3}{{e}^{6}}\) (d) \(k=9\)

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