Question

The tables below show the values of f(x) and g(x) for different values of x: f(x) = 2(3)x xf(x)−20.22−10.670216218 g(x) = 3x + 3 xg(x)−23.11−13.330416212 Based on the tables, what is the solution to the equation 2(3)x = 3x + 3? (4 points) x = −1 x = 0 x = 1 x = 6

Answer 1

Explanation:

The equation

$2(3)^x=3^x+3$

is f(x) = g(x). Therefore we have to look in the tables for which value of x the functions have the same value.

For x = 1, both functions f(1) = 6 and g(1) = 6 so that's the solution.

Answer:

x = 1