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Hello!How do you write an exponential function using two points?

 Feb 25, 2016
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Do you mean you have points (x1, y1) and (x2, y2) and you have to fit a function of the form y = a*ebx to them (where a and b are constants to be found from fitting to the two points)?

 

If so:

 

Take the natural logarithm of both sides of the equation to get:  ln(y) = ln(a) + b*x

 

Now we have   y1 = ln(a) + b*x1   and  y2 = ln(a) + b*x2

 

These are two independent equations that can be solved for the two unknowns (ln(a) and b).  Having found ln(a) you get a from a = eln(a).

.

 Feb 25, 2016

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