I'd like to fit a branch of the Lambert function :
in the interval $[-0.35,0]$ with a function of the form $-a\log(-bx)+c+d x$ or $-a\log(-x)+c+d x$ or something like that. I saw that the functions
-Log[-x] + 1.5 + 3 x -1.5*Log[-x]
were not so bad but I'd like to fit better...
The command $Fit$ is not good for that kind of fitting, and Fitting one function to another doesn't look appropriate either.
How could I proceed plz ?