Question: Solving LambertW in maple

got the function v*t=(S0-St)+Km*ln(S0/St) and I need to find St I solve it in maple and get St=LambertW((S0*e)/Km)*Km). Then S0, v, Km is known I can solve this thing in maple (t=time and it's varies from 0 to x). How do I get rid of that LambertW thing or express in other way (series maybe) that I could calc equation not only in maple, but on the paper. Cause maple knows what that LambertW means, but I don't. As I read in help maybe I could use lambert series, but I don't know how.

 

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