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making a e-funtion of two co÷rdinates


I have got two coordinates out of graph. The line through the
coordinates could be described as:

y = U * e^(a * t)

(e is Exponetial e (approx. 2.37))

t is the x-value, I have give two points (t1,y1) and (t2,y2)

I have tried several things (Solve and Fit for example), but I can't
get the function.
Does anyone know what should be the input to let Mathematica solve the
a and U in the formula.

Much thanks in advance,

Roderik
r.f.emmerink at st.hanze.nl 


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