Решите уравнение (1,5)^x * (2/3)^-2x-1=1

Question

Решите уравнение (1,5)^x * (2/3)^-2x-1=1

Answer 1

(1,5)^x * (3/2)^2x+1=1
(3/2)^x * (3/2)^2x+1=1
(3/2)^3x+1=1
(3/2)^3x+1=(3/2)^0
3x +1 = 0
3x = -1
x = -1/3