Question

(3/5)^x = (25/9)^x+1
Qual o valor de X?

Answer 1

Resposta:

x = -2/3

Explicação passo-a-passo:

(3/5)^x = (25/9)^x+1

25/9 = 5^2/3^2 = (5/3)^2 = (3/5)^-2

(3/5)^x = {(3/5)^-2}^x+1

(3/5)^x = (3/5)^-2x-2

Expoentes de mesma base:

x = -2x - 2

2x + x = -2

x = -2/3