SOLUTION: find a formula for the exponential function f(x)=ab^x satisfying the given conditions: f(3)=-3/8 f(-2)=-12

Question 25822: find a formula for the exponential function f(x)=ab^x satisfying the given conditions:
f(3)=-3/8
f(-2)=-12
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=ab^x
f(3)=ab^(3)=-3/8
f(-2)=ab^(-2)=-12
Divide the 2nd equation into the 1st to get:
b^5=[-3/8/-12]=1/32
b=1/2
Substitute that into ab^3=-3/8
a(1/2)^3=-3/8
a/8=-3/8
a=-3
Solution is a=-3; b=1/2
You could check that answer in the equation ab^-2=-12
Cheers,
Stan H.

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