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

MATHEMATICS
WAEC 1990

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

  • A. 1/3
  • B. 1/2
  • 1/3log√2
  • 1/3log√8

Correct Answer: B. 1/2

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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