Question

73) Resolva as inequações exponenciais:

a) 2⁵ˣ > 2³ˣ ⁺ ¹

Answer 1

$2^{5x}>2^{3x+1}$

$5x>3x+1$

$5x-3x>1$

$2x>1$

$\boxed{x>\dfrac{1}{2}}$

$\text{S}=\{x\in\mathbb{R}~|~x>\frac{1}{2}\}$

Answer 2

Olá, boa noite ☺

Resolução:

$\\ 2^{5x} \ \textgreater \ 2^{3x + 1} \\ \\ 5x \ \textgreater \ 3x + 1 \\ \\ 5x - 3x \ \textgreater \ 1 \\ \\ 2x \ \textgreater \ 1 \\ \\ x \ \textgreater \ \dfrac{1}{2}$

Bons estudos :)