Question

solve the equation algebraically. 9^x-2 = (1/27)^x+4

Answer 1

(3^2)^x-2 = (1/3^3)^x+4
3^2 ^(x-2) = (3^-3)^x+4
3^2x-4 = 3^-3(x+4)
3^2x-4 = 3^-3x-12
2x-4 = -3x-12
x= - 8/5
x= -1 3/4 , x= -1.6