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

Question

jim_thompson5910 · Answer

graph the two equations

y = 4^x
y = 2^x+2

on the same coordinate axis

jim_thompson5910 · Answer

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)

mathmale · Answer

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?