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: 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})