SOLUTION: Find the formula for the exponential function that satisfies the given conditions. f(0)=8 and f(1)=1.6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the formula for the exponential function that satisfies the given conditions. f(0)=8 and f(1)=1.6      Log On


   

Question 1097073: Find the formula for the exponential function that satisfies the given conditions.
f(0)=8 and f(1)=1.6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=ab%5Ex
f%280%29=ab%5E0=8
a=8
,
,
f%281%29=8b%5E%281%29=1.6
8b=1.6
b=1.6%2F8
b=1%2F5
So then,
f%28x%29=8%2F5%5Ex