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Math Help - Solving a weird logarithmic equation

  1. #1
    Newbie ohms's Avatar
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    Solving a weird logarithmic equation

    This is really part of a Dynamics problem, but I'm running into a purely algebraic problem:

    12 = -(1/k)*ln(1-6k)

    How on earth do you manually solve for k?? Nothing I learned in pre-uni would be able to solve this. Solutions tell you to 'guess and check' ...
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  2. #2
    A Plied Mathematician
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    You'd have to use the ProductLog function, or Lambert's W function, as it's also called. Here's the solution for you.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by ohms View Post
    This is really part of a Dynamics problem, but I'm running into a purely algebraic problem:

    12 = -(1/k)*ln(1-6k)

    How on earth do you manually solve for k?? Nothing I learned in pre-uni would be able to solve this. Solutions tell you to 'guess and check' ...
    For a numerical solution you would normally use Newton-Raphson.

    CB
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