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Q: Math Equation ( No Answer,   2 Comments )
Question  
Subject: Math Equation
Category: Science > Math
Asked by: chuck2014-ga
List Price: $10.00
Posted: 01 Aug 2002 16:32 PDT
Expires: 01 Aug 2002 19:32 PDT
Question ID: 48276
Given this equation:
1=D*(exp(c)-1)/(exp(c*F)-1)

Tell me this function:
c=fcn(D,F)

This is for a software project, so please provide the simplest
possible answer using math functions generally available in computer
languages.

Request for Question Clarification by jeanluis-ga on 01 Aug 2002 16:44 PDT
Can you define the exp(n) function? Is it the C function exp(n)? Which
is defined as:
"Exponential function, e to power n"
"The Mathematical function library"
http://www.cee.hw.ac.uk/~pjbk/pathways/cpp1/node155.html

Or is it the matlab function:
"The exp function is an elementary function that operates element-wise
on arrays. Its domain includes complex numbers."
"Matlab Function Reference"
http://www.mathworks.com/access/helpdesk/help/techdoc/ref/exp.shtml

Or is it something else all together?

Clarification of Question by chuck2014-ga on 01 Aug 2002 16:45 PDT
D and F are positive integers.

Clarification of Question by chuck2014-ga on 01 Aug 2002 16:47 PDT
exp(n) is e to power n.
Answer  
There is no answer at this time.

Comments  
Subject: Re: Math Equation
From: jeanluis-ga on 01 Aug 2002 17:45 PDT
 
After digging out my old calculus book and looking at the rules for
natural logs, I figured out that I am too rusty to answer this
question with confidence, however I will tell you what I learned along
the way:
You want to take the natural log of both sides, and then simplify
using the rules of natural logs, specifically the fact that:
ln(A/B) = ln(A) - ln(B)
and 
ln(e^x) = x
also note that:
ln((e^x)-1) = x - ln(1) = x
Hope this helps.
--jld
Subject: Re: Math Equation
From: secret901-ga on 01 Aug 2002 17:57 PDT
 
jeanluis:
ln((e^x)-1) is not equal to x since it is evident that e^x-1 != e^x.
That's why there are complications with this problem.

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