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Simplify \(\frac{\log \sqrt{8}}{\log 8}\)

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Mathematics WAEC 1990

Simplify \(\frac{\log \sqrt{8}}{\log 8}\)

  • 1/3
  • 1/2 checkmark
  • 1/3log√2
  • 1/3log√8
  • 1/2log√2

The correct answer is: B

Explanation

\(\frac{\log \sqrt{8}}{\log 8}\)

= \(\frac{\log 8^{\frac{1}{2}}}{log 8}\)

= \(\frac{\frac{1}{2} \log 8}{\log 8}\)

= \(\frac{1}{2}\) 

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