Evaluate; \(\frac{\log_3 9 - \log_2 8}{\log_3 9}\)
A
-\(\frac{1}{3}\)
B
\(\frac{1}{2}\)
C
\(\frac{1}{3}\)
D
-\(\frac{1}{2}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{\log_3 9 - \log_2 8}{\log_3 9}\)
= \(\frac{\log_3 3^2 - \log_2 2^3}{\log_3 3^2}\)
= \(\frac{2 -3}{2}\)
= \(\frac{-1}{2}\)
Source: Myschool Past Questions Archive (Record #57125)