Xlnx = c + dx

  • Thread starter kayhm
  • Start date
  • #1
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Homework Statement



Can I solve for xlnx = c + dx using Lambert's W function?

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Char. Limit
Gold Member
1,204
14

Homework Statement



Can I solve for xlnx = c + dx using Lambert's W function?

Homework Equations





The Attempt at a Solution

Yes you can.

I've given the first three steps... after that, it shouldn't be too hard to finish:

[tex]x log(x) = c + d x[/tex]

[tex]log(x) = \frac{c}{x} + d[/tex]

[tex]log\left(\frac{cx}{c}\right) = \frac{c}{x} + d[/tex]

[tex]log(c) + log\left(\frac{x}{c}\right) = \frac{c}{x} + d[/tex]

Can you continue?
 
  • #3
7
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Thanks so much.
 
  • #4
Char. Limit
Gold Member
1,204
14
Thanks so much.
It's no problem at all.
 

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