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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{\log \sqrt{8}}{\log 8}\)
= \(\frac{\log 8^{\frac{1}{2}}}{log 8}\)
= \(\frac{\frac{1}{2} \log 8}{\log 8}\)
= \(\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #22603)