Exponential and Logarithmic Functions - Laws of Logarithms

Exponential and Logarithmic Functions - Laws of Logarithms

Evaluate each of the following without using the calculator.

  1. \(\log_{9}81\)
  2. \(\log_{6}\sqrt{27}+\log_{6}\sqrt{144}-\log_{6}\sqrt{18}\)
  3. \(\log_{3}\sqrt{54}+\log_{3}\sqrt{63}-\log_{3}\sqrt{14}\)

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Answer:(a) \(2\). (b) \(\frac32\). (c) \(\frac52\).

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