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Exponential and Logarithmic Functions - Equality of Indices

Exponential and Logarithmic Functions - Equality of Indices

Solve the following exponential equations by using index laws to express both sides with the same base.

  1. Solve \(2^x = 32\)
  2. Solve \(5^x \times 3^{2x-1} = \frac{1}{135}\)
  3. Solve \(5^{3x-1} = 625\)

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Answer:(a) \(x=5\). (b) \(x=-1\). (c) \(x=\frac53\).

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