Simplify frac log sqrt 8 log 4 - log 2 - WAEC Mathematics 2008 Question
Simplify (\frac{\log \sqrt{8}}{\log 4 - \log 2})
A
\(\frac{2}{3}\)
B
\(\frac{1}{2} \log 2\)
C
\(\frac{3}{2}\)
D
\(\log 2\)
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Correct Option: C
(\frac{\log\sqrt{8}}{\log 4 - \log 2} = \frac{\log 8\frac{1}{2}}{\log (\frac{4}{2})})
= (\frac{8 \frac{1}{2}}{\log (\frac{4}{2})})
= (\frac{\frac{1}{2} \log 2^3}{\log 2})
= (\frac{3}{2} \frac{\log 2}{\log 2})
= (\frac{3}{2})
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