Question

${5}^{2x + 1} = \frac{1}{125 }$
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Answer 1

Resposta:

x= -2

Explicação passo-a-passo:

$\frac{1}{125} = 5^{-3}=5^{2x+1}\\\\2x+1=-3\\2x=-3-1\\2x=-4\\x=\frac{-4}{2}\\\\x=-2\\\\5^{2(-2)+1}=\frac{1}{125}\\\\5^{-4+1}==\frac{1}{125}\\\\5^{-3}=\frac{1}{125}$