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Expression Formation

Solve the equ...

Question

Solve the equation :
$3 (2^{x} + 1) - 2^{x + 2} + 5 = 0$

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Solution

$3 (2^{x} + 1) - 2^{x + 2} + 5 = 0$
$3 \times 2^{x} + 3 - 2^{x} \times 2^{2} + 5 = 0$
$3 \times 2^{x} - 4 \times 2^{x} + 8 = 0$
$- 2^{x} + 8 = 0$
$2^{x} = 2^{3}$
$x = 3$

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