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Simplify \(\frac{log_{10}8}{log_{10}4}\)

Mathematics
JAMB 1980

Simplify \(\frac{log_{10}8}{log_{10}4}\)
  • A. log102
  • B. log104
  • C. \(\frac{3}{2}\)
  • D. 2
  • E. None of the above
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Correct Answer: Option C
Explanation
\(\frac{log_{10}8}{log_{10}4}\) = \(\frac{log_{10}2^3}{log_{10}2^2}\)

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

= \(\frac{3}{2}\)

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