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WAEC Further Mathematics 2017 Paper

Question : 1

Total: 40

\log_{y}\;\frac{1}{8}

= 3, find the value of y.

Solution:

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

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

Equating both sides, we have

$y = \frac{1}{2}$

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