WAEC - Further Mathematics (2017 - No. 1)
If \(log_{y}\frac{1}{8}\) = 3, find the value of y.
-2
-\(\frac{1}{2}\)
\(\frac{1}{2}\)
2
Explanation
\(log_{y}\frac{1}{8} = 3 \implies y^{3} = \frac{1}{8}\) (Laws of logarithm)
\(y^{3} = \frac{1}{2^{3}} = (\frac{1}{2})^{3}\)
Equating both sides, we have
\(y = \frac{1}{2}\)