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WAEC - Further Mathematics (2009 - No. 29)

Simplify \(2\log_{3} 8 - 3\log_{3} 2\)
\(-\log_{3} 4\)
\(-\log_{3} 2\)
\(3\log_{3} 2\)
\(3\log_{3} 4\)

Forklaring

\(2\log_{3} 8 - 3\log_{3} 2 = \log_{3} 8^{2} - \log_{3} 2^{3}\)

= \(\log_{3}(\frac{64}{8}) \)

= \(\log_{3} 8 = \log_{3} 2^{3}\)

= \(3 \log_{3} 2\)

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