Simplify: (frac{log sqrt{27}}{log sqrt{81}})
-
A.
1/6 -
B.
3/8 -
C.
1/2 -
D.
3/4 -
E.
6
Correct Answer: Option B
Explanation
(frac{log sqrt{27}}{log 81})
= (frac{log sqrt{3^3}}{log 3^4})
= (frac{log 3^{frac{3}{2}}}{log 3^4})
= (frac{frac{3}{2} log 3}{4 log 3})
= (frac{frac{3}{2}}{4})
= (frac{3}{8})