Given that t = \(2 ^{-x}\), find \(2 ^{x + 1}\) in terms of t.

  • A \(\frac{2}{t}\)
  • B \(\frac{t}{2}\)
  • C \(\frac{1}{2t}\)
  • D t
waec 2017mathematics

The correct answer is A. \(\frac{2}{t}\)

t = \(2^{-x} = \frac{1}{2^{x}}\)

\(\implies 2^{x} =\frac{1}{t}\)

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

= \(\frac{1}{t} \times 2 = \frac{2}{t}\)

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