Simplify \(\frac{log_{10}8}{log_{10}4}\)
A
log102
B
log104
C
\(\frac{3}{2}\)
D
2
E
None of the above
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{log_{10}8}{log_{10}4}\) = \(\frac{log_{10}2^3}{log_{10}2^2}\)
= \(\frac{3 log_{10}2}{2log_{10}2}\)
= \(\frac{3}{2}\)
Source: Myschool Past Questions Archive (Record #32618)