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Getting rid of ProductLog

• To: mathgroup at smc.vnet.net
• Subject: [mg49230] Getting rid of ProductLog
• From: robert.hulme at gmail.com (Robert Hulme)
• Date: Thu, 8 Jul 2004 02:51:07 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

Could someone please help me?

I'm not a mathematician, but rather a programmer - I'm trying to use
Mathematica to rearrange a formula for me.

I'm trying:

Solve[a^b - b == c, b]

Which gives me:

Out[3]//TextForm=
                         Log[a]
            ProductLog[-(------)]
                            c
                           a
{{b -> -c - ---------------------}}
                   Log[a]

The problem with this is that I need the solution to use normal
'primitive' (if thats the right word) math functions as I need the
formula for a computer program.

With ProductLog being an internal Mathematica function I cant
therefore use this rearrangement.

What can I do so that there is no ProductLog in there? Please go easy
on me as I'm not a math major :0) or that au fait with Mathematica.

If it helps both a and b are always positive.

Many thanks
-Rob

• Follow-Ups:
  • Re: Getting rid of ProductLog
    • From: Sseziwa Mukasa <mukasa@jeol.com>