Mathematics

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

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
Correct Answer: Option 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})