Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)
A
-2
B
\(\frac{-3}{2}\)
C
\(\frac{1}{2}\)
D
4
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{log8}{log\frac{1}{4}}=\frac{log2^3}{log2^{-2}}=\frac{3log2}{-2log2}=-\frac{3}{2}\)
Source: Myschool Past Questions Archive (Record #26582)