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