Question

how can you solve the equation 4^x=2^x+2 graphically?

Answer 1

graph the two equations

y = 4^x
y = 2^x+2

on the same coordinate axis

Answer 2

where they cross, or intersect, is the point that leads to the solution (the x coordinate of that point is the solution to the original equation)

Answer 3

K: Have you graphed exponential functions before? Both of these are exponential functions.

For y = 4^x we could make a table of values:

x y=4^x Points
--- --------- -------
0 1 (0,1)
1 4
2 16

Could you graph these points?