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WAEC Further Mathematics 2010 Paper

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Question : 5

Total: 40

Simplify

\;\frac{\log_{5} 8}{\log_{5} \sqrt{8}}

.

-2
$\;\frac{-1}{2}$
$\;\frac{1}{2}$
2

Solution:

$\;\frac{\log_{5} 8}{\log_{5} 8^{\frac{1}{2}}}$

= $\;\frac{\log_{5} 8}{\frac{1}{2} \log_{5} 8}$

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

= 2

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