How do you find the exponential model #y=ae^(bx)# that goes through the points (2,8) (6, 128)?
One way to approach this problem is to do a substitution which changes the form of the equation to a line. We can do this by taking the
In this equation,
plugging this into our initial equation we get
Then we can get
So our equation becomes:
or, if we would like to maintain the exponential we would write: