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simplify; 2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16

Mathematics
WAEC 1994

simplify; 2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16

  • A. 2
  • B. 3
  • C. 2 - 2log32
  • D. 3 - log32
  • E. 4 - log32
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Correct Answer: Option B
Explanation

2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16

= \(\log_3 6^2 + \log_3 12 - \log_3 16\)

= \(\log_{3} (\frac{36 \times 12}{16})\)

= \(\log_{3} (27)\)

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

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

= 3


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