SOLUTION: f(x)= 2^x a) find f(3) b) find inverse (8) I know this is really simple I understand a but how do you get the answer 3 for b. I am lost.

Algebra ->  Inverses -> SOLUTION: f(x)= 2^x a) find f(3) b) find inverse (8) I know this is really simple I understand a but how do you get the answer 3 for b. I am lost.      Log On


   



Question 370205: f(x)= 2^x
a) find f(3)
b) find inverse (8)
I know this is really simple I understand a but how do you get the answer 3 for b. I am lost.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a)f%283%29=2%5E3=8
.
.
.
b) To find the inverse, use x-y format, interchange x and y, and solve for y.
That new y will be the inverse function.
y=2%5Ex
highlight%28x%29=2%5E%28highlight%28y%29%29
log%282%2C%28x%29%29=y
f%5E%28-1%29%288%29=log%282%2C%288%29%29
f%5E%28-1%29%288%29=3