Question 804203
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This problem can be stated as follows:


Find *[tex \LARGE a] and *[tex \LARGE b] such that if *[tex \LARGE f(x)\ =\ ba^x] then *[tex \LARGE f(1)\ =\ 3.2] and *[tex \LARGE f(3)\ =\ 0.2]


First, if *[tex \LARGE f(1)\ =\ 3.2], then *[tex \LARGE ba\ =\ 3.2], which is to say *[tex \LARGE a\ =\ \frac{3.2}{b}\ \ \] (1)


Next, if *[tex \LARGE f(3)\ =\ 0.2], then *[tex \LARGE ba^3\ =\ 0.2], which is to say *[tex \LARGE a^3\ =\ \frac{0.2}{b}\ \ \] (2)


Substitute (1) into (2)


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{3.2}{b}\right)^3\ =\ \frac{0.2}{b}]


Solve by elementary algebra, then substitute the value of *[tex \LARGE b] into Eq (1) and solve for *[tex \LARGE a]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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