Question

Como resolver a equação exponencial
(3/2^2)^x= 3^-3/2^-6?

Answer 1

Resposta:

Explicação passo-a-passo:

{(3/2^2}^x= 3^-3/2^-6

(3/4)^x = 3^(-3) ÷ 2^(-6)

(3/4)^x = (1/3)^3 ÷ 1/2^6

(3/4)^x = 1/27 ÷ 1/4^3

(3/4)^x = 1/3^3 . 4^3

(4/3)^(-x) = (4^3/3^3)

(4/3)^(-x) = (4/3)^3

- x = 3

x = - 3