If 8 \(\frac{x}{2}= (2 \frac{3}{8})(4\frac{3}{4})\), find x

  • A \(\frac{3}{8}\)
  • B \(\frac{3}{4}\)
  • C \(\frac{4}{5}\)
  • D \(\frac{5}{4}\)
jamb 1997mathematics

The correct answer is D. \(\frac{5}{4}\)

\(8^{\frac{x}{2}} = 2^{\frac{3}{8}} \cdot 2^{2x \cdot \frac{3}{4}} \cdot 2^{\frac{3x}{2}}\)


\(= 2^{\frac{3}{4}} \cdot 2^{\frac{3x}{2}}\)

\(= \frac{15}{8}\)

\(\frac{2 \times 15}{3 \times 8} = \frac{5}{4}\)

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