Question

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

Answer 1

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