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WAEC Mathematics 2017 Paper

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Question : 31

Total: 49

Given that t =

2^{-x}

2^{x+1}

in terms of t.

$\frac{2}{t}$
$\frac{t}{2}$
$\frac{1}{2t}$
t

Solution:

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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