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

Mathematics
WAEC 2017

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
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Correct Answer: Option A
Explanation

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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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