Question
Solve for $x :2^{3x + 3}= 2^{3x + 1}+ 48$
✓
Answer
$2^{3x + 3}= 2^{3x + 1}+ 48$
$\Rightarrow 8 \times 2^{3x} = 2^{3x} \times 2 + 48$
$\Rightarrow 2^{3x} ( 8 - 2 ) = 48$
$\Rightarrow 2^{3x} \times 6 = 48$
$\Rightarrow 2^{3x} = 8$
$\Rightarrow 2^{3x} = 2^3$
$\Rightarrow 3x = 3$
$\Rightarrow x = 1$
$\Rightarrow 8 \times 2^{3x} = 2^{3x} \times 2 + 48$
$\Rightarrow 2^{3x} ( 8 - 2 ) = 48$
$\Rightarrow 2^{3x} \times 6 = 48$
$\Rightarrow 2^{3x} = 8$
$\Rightarrow 2^{3x} = 2^3$
$\Rightarrow 3x = 3$
$\Rightarrow x = 1$
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