SOLUTION: f(x)=a×b^x has the property that f(3)=12 and f(6)=5. Find a and b.
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Question 1148727: f(x)=a×b^x has the property that f(3)=12 and f(6)=5. Find a and b.
Answer by greenestamps(13206) (Show Source): You can put this solution on YOUR website!
Get two equations in a and b using the two given points.
(1)
(2)
Divide the second equation by the first; that eliminates a to give you an equation you can solve for b:
Use that in the first equation to find a:
ANSWERS:
a = 144/5
b = (5/12)^(1/3)
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