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 November 4th, 2018, 06:19 AM #1 Senior Member   Joined: Jan 2016 From: Blackpool Posts: 104 Thanks: 2 solving difficult equation I am stuck trying to solve for B this equation: $\exp\left(\frac{B}{\sum_{i=1}^{n}x_{i}}\right)= \sum_{i=1}^{n}z_{i}\exp(Bz_{i})$ Last edited by Jaket1; November 4th, 2018 at 06:26 AM.
November 4th, 2018, 05:29 PM   #2
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Quote:
 Originally Posted by Jaket1 I am stuck trying to solve for B this equation: $\exp\left(\frac{B}{\sum_{i=1}^{n}x_{i}}\right)= \sum_{i=1}^{n}z_{i}\exp(Bz_{i})$
I can't think of a way to approach it to get an exact answer. You might be able to use Lambert's W function to write an equation but you are going to have to approximate the answer.

-Dan

Last edited by topsquark; November 4th, 2018 at 05:34 PM.

 November 5th, 2018, 03:04 AM #3 Senior Member   Joined: Jan 2016 From: Blackpool Posts: 104 Thanks: 2 Thanks, I have used the link you shared. However, it is still not clear to me how I am supposed to approximate? Last edited by skipjack; November 5th, 2018 at 11:33 AM.

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