Question

(∛25)^x= (1/125)^x+3

Answer 1

Olá,

∛25 = 25^1/3
1/125 = 1/5^3 = 5^-3

(25^1/3)^x = (1/125)^x+3
(25)^x/3 = (5^-3)^x+3
(5^2)^x/3 = (5)^-3x-9
(5)^2x/3 = (5)^-3x-9

2x/3 = -3x-9
2x/3 + 3x = -9
(2x+9x)/3 = -9
11x/3 = -9
11x = 3·(-9)
11x = -27
x = -27/11