# equation solving – Finding the coefficients of an expression

I have a set of formulas of the following form:

``````{5.1011 + E^(-6876.32 t) (-5.1011 + 1. x),
5.28335 + E^(-4868.36 t) (-5.28335 + 1. x),
6.45616 + E^(-1847.14 t) (-6.45616 + 1. x),
144.165 + E^(-34.6815 t) (-144.165 + 1. x),
320. + E^(-15.6055 t) (-320. + 1. x)}
``````

I would like to get the coefficients {a, b, c} where each of the formulas is expressed as

``````a + e^(b*t)*(c + 1.` vStart)
``````

I tried using rules, “Normal”, and Solve to see if I could figure this out. I will note that if I take any of these expressions and for example do this:

``````5.1011 + E^(-6876.32 t) (-5.1011 + 1. x) //TreeForm
``````

I get a picture like this:

so Mathematica clearly understands the pieces. I just cannot figure out how to turn this into the list shown with TreeForm so I can grab the pieces. As an example, in this tree (simplifying each coefficient), I’d get a=5.1, b=-6876.3, c=-5.1.

I suspect this is something simple but am at a loss. Any help appreciated.