Question

find x,4^x+4^x=32
$full \: expanation$
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Answer 1

${4}^{x} +{4}^{x} = 32$

${4}^{x} \: can \: be \: written \: as \: {2}^{2 \times x = {2}^{2x} }$

$32 \: can \: be \: written \: as \: {2}^{5}$

So,

${2}^{2x} + 2 {}^{2x} = {2}^{5}$

Comparing powers

$2x + 2x = 5$

$4x = 5$

$x = \frac{4}{5}$

HOPE IT HELPS ✌