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Finding a relationship between functions

  1. Apr 8, 2007 #1
    I posted on this tangent a little while ago but I've moved forward and was looking for some input.
    I have two exponential equations each is described by a different variable (n and v respectively):

    y=1.44E-24*exp(46.22n)+2.006E-8
    y=2.88*exp(-2.4v)-3.009E-5

    Since the end constants are so small I am considering them negligible so:

    y=1.44E-24*exp(46.22n)
    y=2.88*exp(-2.4v)

    What I am trying to find is a relationship between variables n and v.

    Currently I've tried taking the natural log of both sides to get:

    ln(y)=ln(1.44E-24)+ln(exp(46.22n))
    ln(y)=-54.897+56.22n
    and
    ln(y)=ln(2.88)+ln(exp(-2.4v))
    ln(y)=1.058-2.4v

    So in essence I now have two linear equations. Are there any suggestions to finding a numerical relationship between n and v. Is there value in finding the intersection of these two linear equations?

    Thanks
    C.N.
     
  2. jcsd
  3. Apr 8, 2007 #2

    matt grime

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    Science Advisor
    Homework Helper

    If you don't mind me saying so, there is something odd in you asserting that things of the order 10^-5 are negligible, but that 10^-24 isn't.

    y=something
    y=something else

    therefore something equals something else. That is a relation ship. It just isn't of the (unjustifiable preferred?) v=function of n.
     
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