Question

Resolva em R, a equação exponencial: 49 elevado a x+1 = raiz cúbica de 7

Resposta: -5/6

Answer 1

Boa noite!!

$49^{x+1} = \sqrt[3]{7} \\\\ (7^{2})^{x+1} = 7^{ \frac{1}{3} } \\\\ 7^{2x+2} = 7^{ \frac{1}{3} }$

$2x +2 = \frac{1}{3} \\\\ 3.(2x+2) = 1\\\\ 6x +6 = 1\\\\ 6x = 1 -6$

$x = \frac{-5}{6} \\ ou \\ x = 0,833..$

Bons estudos!!