Question

solution
$2 {}^{x} + 2 {?}^{x + 1} = 24$

Answer 1

Answer :

$Now, \: \: {2}^{x} + {2}^{x + 1} = 24 \\ \\ or, \: \: {2}^{x} + (2 \times {2}^{x} ) = 24 \\ \\ or, \: \: 3 \times {2}^{x} = 24 \\ \\ or, \: \: {2}^{x} = 8 \\ \\ or, \: \: {2}^{x} = {2}^{3}$

So, comparing the powers, we get x = 3

Therefore, the required solution be x = 3

#MarkAsBrainliest

Answer 2

${2}^{x} + {2}^{x + 1} = 24 \\ \\ {2}^{x} + ( {2}^{x} \times 2) = 24 \\ \\ {2}^{x} (1 + 2) = 24 \\ \\ {2}^{x} (3) = 24 \\ \\ {2}^{x} = \frac{24}{3} \\ \\ {2}^{x} = 8 \\ \\ {2}^{x} = {2}^{3} \\ \\ x = 3$


I hope this will help you

(-: