Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8^x and y = 2^x+2 intersect are the solutions of the equation 8^x = 2^x+2. (4 points)
Part B: Make tables to find the solution to 8^x = 2^x+2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 8^x = 2^x+2 graphically? (2 points)

Answer 1

If they y values are the same then you can equate these 2 equations y = 8x and y = 2x + 2 8x=2x+2
because where they inersect their x and y values are the same