SOLUTION: FIND THE BASE OF THE GIVEN EQUATION y=b^x: (1,3) (5/2, 32)

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Question 887786: FIND THE BASE OF THE GIVEN EQUATION y=b^x:
(1,3) (5/2, 32)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think your equation should be y=ab%5Ex.
y=ab%5Ex
3=ab%5E1
1.ab=3
.
.
.
y=ab%5Ex
32=ab%5E%282.5%29
2.ab%5E%285%2F2%29=32
Divide eq. 2 by eq. 1,
%28ab%5E%282.5%29%29%2F%28ab%29=32%2F3
b%5E%281.5%29=32%2F3
highlight%28b=%2832%2F3%29%5E%280.667%29%29
Then from eq. 1,
a=3%2Fb
highlight%28a=3%2A%283%2F32%29%5E%280.667%29%29