Answer:
x = 4.25
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