Simplify \(2\log_{3} 8 - 3\log_{3} 2\)
FURTHER MATHEMATICS
WAEC 2009
Simplify \(2\log_{3} 8 - 3\log_{3} 2\)
- A. \(-\log_{3} 4\)
- B. \(-\log_{3} 2\)
- C. \(3\log_{3} 2\)
- D. \(3\log_{3} 4\)
Correct Answer: C. \(3\log_{3} 2\)
Explanation
\(2\log_{3} 8 - 3\log_{3} 2 = \log_{3} 8^{2} - \log_{3} 2^{3}\)
= \(\log_{3}(\frac{64}{8}) \)
= \(\log_{3} 8 = \log_{3} 2^{3}\)
= \(3 \log_{3} 2\)
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