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Laws of logarithms used to write expressions as a single natural logarithm of a positive integer

Laws of logarithms used to write expressions as a single natural logarithm of a positive integer

5 marks

Express each of the following as a single natural logarithm \(\ln k\), where \(k\) is a positive integer.

  1. \(\ln60-\ln5\)[1]
  2. \(\frac12\ln49\)[2]
  3. \(-2\ln\frac13\)[2]

Solution:

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Answer:(a) \(\ln12\) (b) \(\ln7\) (c) \(\ln9\)

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