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If \(log_{10} 2 = 0.3010\) and \(log_{10} 3 = 0.4771\), evaluate; without using logarithm tables,...

Mathematics
JAMB 1988

If \(log_{10} 2 = 0.3010\) and \(log_{10} 3 = 0.4771\), evaluate; without using logarithm tables, \(log_{10} 4.5\)

  • A. 0.3010
  • B. 0.4771
  • C. 0.6532
  • D. 0.9542
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Correct Answer: Option C
Explanation

If \(log_{10} 2 = 0.3010\) and \(log_{10} 3 = 0.4771\),

\(\log_{10} 4.5 = \log_{10}  (\frac{3 \times 3}{2})\)

\(log_{10} 3 + log_{10} 3 - log_{10} 2 = 0.4771 + 0.4771 - 0.3010\)

= 0.6532


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