If \(log_{y}\frac{1}{8}\) = 3, find the value of y.

  • A -2
  • B -\(\frac{1}{2}\)
  • C \(\frac{1}{2}\)
  • D 2
waec 2017furthermathematics

The correct answer is C. \(\frac{1}{2}\)

\(log_{y}\frac{1}{8} = 3 \implies y^{3} = \frac{1}{8}\) (Laws of logarithm)

\(y^{3} = \frac{1}{2^{3}} = (\frac{1}{2})^{3}\)

Equating both sides, we have

\(y = \frac{1}{2}\)

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