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
Correct Answer: A. \(\frac{2}{t}\)
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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