Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).

  • A \(-2\)
  • B \(\frac{-1}{2}\)
  • C \(\frac{1}{2}\)
  • D \(2\)
waec 2016furthermathematics

The correct answer is C. \(\frac{1}{2}\)

\(5^{x} \times 5^{x+1} = 25\)

\(5^{x} \times 5^{x+1} = 5^{2}\)

\(5^{x+x+1} = 5^{2}\), equating powers,

\(2x + 1 = 2 \implies 2x = 1\)

\(\therefore x = \frac{1}{2}\)

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