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 simplifying the right side of the equation using the power of a power rule:

(3²)^{(2x + 1)} = 3^{(2(2x + 1))}

Now, since the bases are the same, we can equate the exponents: