Question

Equação Exponencial

h) 3 . 9^x - 10 . 3^x + 3 = 0​

Answer 1

Resposta:

$3 \times {9}^{x} - 10 \times {3}^{x} + 3 = 0 \\ 3( {3}^{2} {)}^{x} - 10 \times {3}^{x} + 3 = 0 \\ 3( {3}^{x} {)}^{2} - 10 \times {3}^{x} + 3 = 0 \\ 3 {t}^{2} - 10t + 3 = 0 \\ t = \frac{1}{3} \\ t = 3 \\ {3}^{x} = \frac{1}{3} \\ {3}^{x} = 3 \\ x = - 1 \\ x = 1$