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What is log\(_7{(49^a)}\) - log\(_{10}^{(0.01)}\)?

Mathematics
JAMB 1979

What is log\(_7{(49^a)}\) - log\(_{10}^{(0.01)}\)?

  • A. \(\frac{49^a}{100}\)
  • B. \(\frac{a}{2}\) + 2
  • C. 72a + 2
  • D. 2a + 2
  • E. \(\frac{2a}{2}\)
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Correct Answer: Option D
Explanation

log7(49a) - log10(0.01) = log7(72)a - log10100

log772a - log101 - log10 102

= 2a - 2

= 2a + a

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