Simplify (frac{log sqrt{8}}{log 4 – log 2})

Correct Answer: Option C

Explanation

(frac{logsqrt{8}}{log 4 – log 2} = frac{log 8frac{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})