SOLUTION: Write an exponential function y=ab^x for a graph that includes the given points. (4,8), (6,32) Please explain how you got the answer

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write an exponential function y=ab^x for a graph that includes the given points. (4,8), (6,32) Please explain how you got the answer      Log On


   

Question 1034277: Write an exponential function y=ab^x for a graph that includes the given points. (4,8), (6,32)
Please explain how you got the answer
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Choose whatever base for a logarithm you want and then

log%28%28y%29%29=log%28%28ab%5Ex%29%29

log%28%28y%29%29=log%28%28a%29%29%2Blog%28%28b%5Ex%29%29

log%28%28y%29%29=log%28%28a%29%29%2Bx%2Alog%28%28b%29%29

highlight%28log%28%28y%29%29=log%28%28b%29%29%2Ax%2Blog%28%28a%29%29%29

You can then use algebra skills or a linear graph to find log%28%28b%29%29 which is slope, and log%28%28a%29%29 which is vertical axis intercept. USE the two given points but you must remember, those points are for the EXPONENTIAL EQUATION.

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

Write an exponential function y=ab^x for a graph that includes the given points. (4,8), (6,32)
Please explain how you got the answer
highlight_green%28y+=+%281%2F2%29%282%29%5Ex%29