\(Simplify: \frac{log √27 - log √8}{log 3 - log 2}\)
FURTHER MATHEMATICS
WAEC 2023
\(Simplify: \frac{log √27 - log √8}{log 3 - log 2}\)
- A. \(\frac{3}{2}\)
- B. -\(\frac{1}{4}\)
- C. -\(\frac{3}{2}\)
- D. \(\frac{1}{4}\)
Correct Answer: A. \(\frac{3}{2}\)
Explanation
\(\frac{log √27 - log √8}{log 3 - log 2}\)
= \(\frac{log √3^3 - log √2^3}{log 3 - log 2}\)
= \(\frac{log3^{3/2} - log2^{3/2}}{log3}\)
=\(\frac{^3/_2(log 3 - log 2)}{log 3 - log 2}\)
\(\therefore\frac{3}{2}\)
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