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Math Help - Help solving x*c^(x-1)=d

  1. #1
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    Lightbulb Help solving x*c^(x-1)=d

    I've spent all day trying to simplify this equation in terms of x:

    x*c^(x-1)=d where c and d are arbitrary constants.

    I'm able to reduce it part way, but I can't seem to find a rule by which to separate and combine the x terms. Any input would be much appreciated!
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  2. #2
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    Quote Originally Posted by mischka View Post
    I've spent all day trying to simplify this equation in terms of x:

    x*c^(x-1)=d where c and d are arbitrary constants.

    I'm able to reduce it part way, but I can't seem to find a rule by which to separate and combine the x terms. Any input would be much appreciated!
    You can solve it using the Lambert W-function. Search these forums for posts relating to this function and how it's used. Or use Google.
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