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

Simplify \(\frac{log_{10}8}{log_{10}4}\)
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  • A Log102
  • B Log104
  • C \(\frac{3}{2}\)
  • D 2
  • E None of the above
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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