# How do you find the exponential model #y=ae^(bx)# that goes through the points (2,8) (6, 128)?

##### 1 Answer

Jun 27, 2016

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: