WAEC - Further Mathematics (2010 - No. 5)

Simplify \(\frac{\log_{5} 8}{\log_{5} \sqrt{8}}\).
-2
\(\frac{-1}{2}\)
\(\frac{1}{2}\)
2

Explanation

\(\frac{\log_{5} 8}{\log_{5} \sqrt{8}} = \frac{\log_{5} 8}{\log_{5} 8^{\frac{1}{2}}}\)

= \(\frac{\log_{5} 8}{\frac{1}{2}\log_{5} 8}\)

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

= 2

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