Tentukan nilai x dari persamaan 3^8x+11 - 27^x²+4x-7 =0

Persamaan Eksponen

3^(8x + 11) - 27^(x² + 4x - 7) = 0
3^(8x + 11) = 27^(x² + 4x - 7)
3^(8x + 11) = (3³)^ (x² + 4x - 7)
3^(8x + 11) = 3^(3x² + 12x - 21)

8x + 11 = 3x² + 12x - 21
0 = 3x² + 12x - 21 - 8x - 11
3x² + 4x - 32 = 0
(3x - 8)(x + 4) = 0

x = 8 v x = -4