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

  • A 1/3
  • B 1/2
  • C 1/3log√2
  • D 1/3log√8
  • E 1/2log√2

The correct answer is B. 1/2

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

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

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

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

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