1)(1 11/25)^3x+6=(216/125)^4x-2
(36/25)^(3x +6) = (216/125)^(4x -2)
(6/5)^2(3x +6) = (6/5)^3(4x -2)
2(3x +6) = 3(4x -2)
6x +12 = 12x -6
6x = 18
x = 3
2) (25^3x-3)^2=27^x:3^3
25^6(x -1) = 27^(x -1) | : 27^(x -1)
(25^6)^(x -1)/27^(x-1) = 1
(25^6/27)^(x -1) = 1
x -1 = 0
x = 1
3)(343/64)^2x-4=(3 1/16)^2x
(7/4)^3(2x -4) = (7/4)^4x
(7/4)^(6x -12) = (7/4)^4x | : (7/4)^4x
(7/4)^(2x -12) = 1
2x -12 = 0
x = 6
4)(16^x) * 3 =(3^2x) * 4 |: (3*4)
4^(2x-1) = 3^(2x-1) |:3^(2x - 1)
(4/3)^(2x -1) = 1
2x -1 = 0
x = 1/2