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WAEC Further Mathematics 2012 Paper

Question : 6

Total: 40

Evaluate

\log_{10}\left(\;\frac{1}{3} + \;\frac{1}{4}\right) + 2\log_{10} 2 + \log_{10}\left(\;\frac{3}{7}\right)

Solution:

$\log_{10} \left(\;\frac{1}{3} + \;\frac{1}{4}\right) + 2\log_{10} 2 + \log_{10}\left(\;\frac{3}{7}\right)$

$\;\frac{1}{3} + \;\frac{1}{4} = \;\frac{7}{12}$

= $\log_{10}\left(\;\frac{7}{12} \times 2^{2} \times \;\frac{3}{7}\right)$

= $\log_{10} 1 = 0$

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