SOLUTION: Find the exponential function of the form f(x)=ae^(bx) that passes through the points (0,2) and (6,8) I know the answer is f(x)=2e[(ln4)/6]x but how do you get that? Thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the exponential function of the form f(x)=ae^(bx) that passes through the points (0,2) and (6,8) I know the answer is f(x)=2e[(ln4)/6]x but how do you get that? Thanks      Log On


   

Question 1000771: Find the exponential function of the form f(x)=ae^(bx) that passes through the points (0,2) and (6,8)
I know the answer is f(x)=2e[(ln4)/6]x
but how do you get that?
Thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the points.
y=ae%5E%28bx%29
2=ae%5E%28b%2A0%29
2=a%2A1
a=2
.
.
y=ae%5E%28bx%29
8=2e%5E%28b%2A6%29
4=e%5E%286b%29
ln%284%29=6b
b=ln%284%29%2F6
.
.