To solve the equation 3^x = 27, we need to find the value of x that satisfies the equation.

We know that 27 can be written as 3^3, so we can rewrite the equation as:

3^x = 3^3

Since the bases are the same, the exponents must be equal. Therefore, x = 3.

So, the solution to the equation 3^x = 27 is x = 3.