Question

resolva a equação exponencial abaixo ​

Answer 1

Resposta:

X = -3

Explicação passo-a-passo:

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$\mathtt{ {25}^{x + 1} = \frac{1}{625} } \\ \mathtt{ {5}^{2x + 2} = \frac{1}{625} } \\ \mathtt{ {5}^{2x + 2} = \frac{1}{ {5}^{4} } } \\ \mathtt{ {5}^{2x + 2} = {5}^{ - 4} } \\ \mathtt{ {\cancel{\blue {5}}}^{2x + 2} = {\cancel{\blue {5}}}^{ - 4} } \\ \mathtt{2x + 2 = - 4} \\ \mathtt{2x = - 4 - 2} \\ \mathtt{2x = - 6} \\ \mathtt{x = \frac{ - 6}{2} } \\ \red{\mathtt{x = - 3}}$