Question

${4}^{x} = \sqrt{32}$
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Answer 1

Olá!

${4}^{x} = \sqrt{32} \\ ({2}^{2})^{x} = \sqrt{ {2}^{5} } \\ {2}^{2x} = {2}^{ \frac{5}{2} } \\ \\ 2x = \frac{5}{2} \\ x = \frac{5}{2.2} \\ x = \frac{5}{4}$

Espero ter ajudado!

Bons estudos!