If \(\log_{3} x = \log_{9} 3\), find the value of x.

  • A \(3^{2}\)
  • B \(3^{\frac{1}{2}}\)
  • C \(3^{\frac{1}{3}}\)
  • D \(2^{13}\)
waec 2015furthermathematics

The correct answer is B. \(3^{\frac{1}{2}}\)

\(\log_{3} x = \log_{9} 3  \implies \log_{3} x = \log_{9} 9^{\frac{1}{2}} = \frac{1}{2}\log_{9} 9\)

\(\log_{3} x = \frac{1}{2} \)

\(\therefore x = 3^{\frac{1}{2}}\)

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