SOLUTION: How do you write an exponential function of the form y=ab^x with the given points (1,1) & (2,3)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How do you write an exponential function of the form y=ab^x with the given points (1,1) & (2,3)       Log On


   

Question 970530: How do you write an exponential function of the form y=ab^x with the given points (1,1) & (2,3)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28y%29=ln%28ab%5Ex%29
ln%28y%29=ln%28a%29%2Bln%28b%5Ex%29
ln%28y%29=ln%28a%29%2B%28ln%28b%29%29x
highlight_green%28ln%28y%29=ln%28b%29%2Ax%2Bln%28a%29%29

Natural Logarithm was chosen but any base you want you can choose. The equation outlined with green is a LINEAR equation. This changes the way you use your given ordered pair points. Your points using this line must be (1, ln(1)) and (2, ln(3) ).

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How do you write an exponential function of the form y=ab^x with the given points (1,1) & (2,3)
Exponential function: highlight_green%28f%28x%29+=+%281%2F3%293%5Ex%29, with: a being 1%2F3, and b being 3