The tables below show the values of f(x) and g(x) for different values of x: f(x) = 2(3)x x f(x) −2 0.22 −1 0.67 0 2 1 6 2 18 g(x) = 3x + 9 x g(x) −2 9.11 −1 9.33 0 10 1 12 2 18 based on the tables, what is the solution to the equation 2(3)x = 3x + 9? x = 0 x = 2 x = 12 x = 18

we know that

The solution of the system of equations is equal to the points of intersection of both functions. The points of intersection are values of x and y common for both functions.

so

in this problem

The point is a common point for both functions

therefore

The point is a solution for the system of equations

The answer is