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(2^2)^(x+3) = 8^((x+5)/4)
2^(2x+6) = (2^3)^((x+5)/4)
2^(2x+6) = 2^((3x+15)/4)
2x+6 = (3x+15)/4
4(2x+6) = 3x+15
8x+24 = 3x+15
8x-3x = 15 - 34
5x = -19
x = - 19/5
b. 9^(x+1) = 3^(4x-1)
(3^2)^(x+1) = 3^(4x-1)
3^(2x+2) = 3^(4x-1)
2x + 2 = 4x - 1
2x - 4x = -1 - 2
- 2x = - 3
x = 3/2
c. 3^(x-4) = 81
3^(x - 4) = 3^4
x - 4 = 4
x = 4 + 4
x = 8