Answer:
x = -2.
Step-by-step explanation:
9^(x - 8) = 3^(4x - 12)
9 = 3^2 so we can write:-
3^2(x - 8) = 3^(4x - 12)
Since the base 3, is the same:-
2(x - 8) = 4x - 12
2x - 16 = 4x - 12
2x - 4x = -12 + 16
-2x = 4
x = -2