Given that t 2 -x find 2 x 1 in terms of t - WAEC Mathematics 2017 Question
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 option: a
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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