# Thread: tanh(x)/x=c with Lambert W function?

1. ## tanh(x)/x=c with Lambert W function?

I tried to solve
tanh(x)/x=c for x
c: constant

The equation derived from Fick's law and Tafel law for electrochemical kinetics.
Thank you so much for your help!!
S

2. ## Re: tanh(x)/x=c with Lambert W function?

Hey SHIRO.

Can you show us what you have tried?

3. ## Re: tanh(x)/x=c with Lambert W function?

Originally Posted by SHIRO
I tried to solve
tanh(x)/x=c for x
c: constant

The equation derived from Fick's law and Tafel law for electrochemical kinetics.
Thank you so much for your help!!
S
if you graph this for a few instances of $c$ it becomes pretty clear what the only solution is.