SOLUTION: Write an equation for the exponential function that contains points (1,6) and (2,4). Write the equation in the form y=a(b)^x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write an equation for the exponential function that contains points (1,6) and (2,4). Write the equation in the form y=a(b)^x      Log On


   

Question 904643: Write an equation for the exponential function that contains points (1,6) and (2,4). Write the equation in the form y=a(b)^x
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Write an equation for the exponential function that contains points (1,6) and (2,4). Write the equation in the form y=a(b)^x
A:
We solve for "a" and "b":
Equation 1: ab = 6
Equation 2: ab%5E2+=+4
Divide the 2nd equation by the 1st equation, the result is
b+=+2%2F3
So, a%282%2F3%29+=+6
a = 9.
Answer: highlight%28y+=+9%282%2F3%29%5Ex%29