Решить не равенство [tex] { 2}^{x + 2} - {2}^{x} > 96[/tex]. Created by A921. matematika-ru

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July 2022 1 2 Report

Решить не равенство
[tex] { 2}^{x + 2} - {2}^{x} > 96[/tex]

Answers & Comments

FaerVator

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

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