Part a: explain why the x-coordinates of the points where the graphs of the equations y = 2^x and y = 4^x−2 intersect are the solutions of the equation 2^x = 4^x−2. (4 points)

part b: make tables to find the solution to 2^x = 4^x−2. take the integer values of x between −4 and 4. (4 points)

part c: how can you solve the equation 2^x = 4^x−2 graphically? (2 points)

A and B. See explanation

C. x=4

Step-by-step explanation:

A: Consider two functions and The point of intersection of the graphs of these two functions is the solution of the system

When you are solving this system, you have to equate the right sides of these equations and get So, the x-coordinate of the point of intersection is the solution of the equation

B.

C. Graphically, graphs intersect at point (4,16), so x=4 is the solution of the equation