Solve: 9^8-x = 27^x-3

x = 4.25

Step-by-step explanation:

First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^ (x-3) into 9^3 (x-3).

Now, the equation can be written as 9^ (8-x) = 9^ (3x-9)

Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:

8-x = 3x-9.

8 = 4x - 9

17 = 4x

x = 4.25