Question

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

Answer 1

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 $(2,18)$ is a common point for both functions

therefore

The point $(2,18)$ is a solution for the system of equations

The answer is

$x=2$