Question

Решить не равенство
${ 2}^{x + 2} - {2}^{x} > 96$
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Answer 1

$2 {}^{x + 2} - 2 {}^{x} > 96 \\ (2 {}^{2} - 1) \times 2 {}^{x} > 96 \\ (4 - 1) \times 2 {}^{x} > 96 \\ 3 \times 2 {}^{x} > 96 \\ 2 {}^{x} > 32 \\ 2 {}^{x} > 2 {}^{5} \\ x > 5 \\ x∈(5; + ∞)$