For whаt vаluе оf x does 3^4 х = 27^x-3?

x = - 9

Step-by-step explanation:

3^4 х = 27^ (x-3)

Replace 27 with 3^3

3^4 х = 3^3^ (x-3)

We know that a^b^c = a^ (b*c)

3^4 х = 3^ (3 (x-3))

Since the bases are the same, the exponents are the same

4x = 3 (x-3)

Distribute

4x = 3x-9

Subtract 3x from each side

4x-3x = 3x-3x-9

x = - 9