Question

Solve this :

$2 {}^{x} + \frac{2}{2 {}^{x} } = 3$
I will mark as brainliest answer.

Answer 1

Final Answer : x = 0,1

Steps :
1) Let
${2}^{x} = t$
then we get,
$t + \frac{2}{t} = 3 \\ = > {t}^{2} - 3t + 2 = 0 \\ = > (t - 2)(t - 1) = 0 \\ = > t = 1 \: or \: t \: = 2$

Now,
${2}^{x} = 1 = > x = 0 \\ {2}^{x} = 2 = > x = 1$


Therefore, either x = 0 or x = 1 .