Change of Base involving Substitution

Change of Base involving Substitution

  1. Given that \(p={{\log }_{a}}9\), find \({{\log }_{3}}a\) in terms of \(p\).
  2. If \(p=\lg 14\), express \({{\log }_{14}}1\frac{2}{5}\) in terms of \(p\).

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Answer:(a) \(\log_3a=\frac2p\). (b) \(\log_{14}(1\frac25)=1-\frac1p\).

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