Solve for x: 9^ (x-8) = 3^ (4x-12)

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