(19)2x−1=(181)2−3x
(19)2x−1=(19)2(2−3x)
(19)2x−1=(19)4−6x
Since the bases are equal, powers can be equated
= 2x - 1 = 4 - 6x
= 2x + 6x = 4 + 1
= 8x = 5
∴x=58