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

  • A log102
  • B log104
  • C \(\frac{3}{2}\)
  • D 2
  • E None of the above
jamb 1980mathematics

The correct answer is C. \(\frac{3}{2}\)

The expression \(\frac{log_{10}8}{log_{10}4}\) can be simplified using the change of base formula for logarithms, which states that \(\frac{log_b a}{log_b c} = log_c a\).

Applying this formula to the given expression, we get \(log_4 8\).

Since \(8 = 4^{\frac{3}{2}}\), \(log_4 8 = \frac{3}{2}\).

So, the simplified form of the given expression is \(\frac{3}{2}\).

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