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

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