Algebra-1

To solve the equation using the same base method, we need to express both sides of the equation with the same base. In this case, we can use base 3.

We start by expressing 9 as 3² and 27 as 3³:

(3²)^{(8 - x)} = (3³)^{(x - 3)}

Using the power of a power rule, we can simplify the exponents:

3^{(2(8 - x))} = 3^{(3(x - 3))}