Evaluate \(\log_{10}(\frac{1}{3} + \frac{1}{4}) + 2\log_{10} 2 + \log_{10} (\frac{3}{7})\)
FURTHER MATHEMATICS
WAEC 2012
Evaluate \(\log_{10}(\frac{1}{3} + \frac{1}{4}) + 2\log_{10} 2 + \log_{10} (\frac{3}{7})\)
- A. -3
- B. 0
- C. \(\frac{5}{6}\)
- D. 1
Correct Answer: B. 0
Explanation
\(\log_{10} (\frac{1}{3} + \frac{1}{4}) + 2\log_{10} 2 + \log_{10} (\frac{3}{7})\)
\(\frac{1}{3} + \frac{1}{4} = \frac{7}{12}\)
= \(\log_{10} (\frac{7}{12} \times 2^{2} \times \frac{3}{7})\)
= \(\log_{10} 1 = 0\)
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