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## Main Question or Discussion Point

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.

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.