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Exponential and Logarithmic Functions - Solving Logarithm Equations

Exponential and Logarithmic Functions - Solving Logarithm Equations

7 marks
  1. Solve \(\lg(x - 8) + \lg\left(\frac{9}{2}\right) = 1 + \lg\left(\frac{x}{4}\right)\).[4]
  2. Solve the equation \(\log_{5}(2x + 1) - \log_{5}(3x - 5) = 1\)[3]

Solution:

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Answer:(a) \(x=18\) (b) \(x=2\)

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