I need help finishing this problem. I need to write an exponential function of the form whose graph passes through the given points. The points are (1,4) and (2, 8/3), the 8/3 is a fraction. I find a in the last set of points, and then use that to substitute for a in the top set, but after that I can't figure out how to simplify and find b. I know it has something to do with logs.
Any help is appreciated.
I understand what you did skeeter. I can get that far on my own. I get all this:
2=ab^(8/3)
so
a=2/b^(8/3)
substitute:
4=(2/b^(8/3) )*b
Now I *think* that logs come into play, but I don't know how or what to do to get b. That's what I can't figure out.
I don't know how to get the forums to register that 8/3 is a fraction exponent, so I couldn't put those in the math looking font thingy. Sorry.
Ooooooooooooppps....I think I should read each problem twice from now on, somehow I got the x and y switched around and never noticed. Even though I have re-typed this problem numerous times tonight.
That makes the problem a lot simpler. Thanks for the help. I'll be sure to remember to read each question twice on my test tomorrow.