• Matéria: Matemática
  • Autor: Play02
  • Perguntado 3 anos atrás

calcule o valor de x em (3\7)^(8+ 3x) = 49\9

Respostas

respondido por: CyberKirito
1

\Large\boxed{\begin{array}{l}\sf\bigg(\dfrac{3}{7}\bigg)^{8+3x}=\dfrac{49}{9}\\\\\sf\bigg(\dfrac{3}{7}\bigg)^{8+3x}=\bigg(\dfrac{7}{3}\bigg)^2\\\\\sf\bigg(\dfrac{3}{7}\bigg)^{8+3x}=\bigg(\dfrac{3}{7}\bigg)^{-2}\\\\\sf 8+3x=-2\\\sf 3x=-2-8\\\sf 3x=-10\\\\\sf x=-\dfrac{10}{3}\end{array}}

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