Results 1 to 2 of 2

Math Help - Solving a non-linear equation

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    Singapore
    Posts
    1

    Solving a non-linear equation

    Hi all,

    given a non-linear equation f(x)=X+[(lnX)/3]-2

    How do I find X when f(x)=0? I have problems getting rid of the ln(x)


    Many thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Aug 2011
    Posts
    243
    Thanks
    56

    Re: Solving a non-linear equation

    In practice, one use numerical computation to obtain an approximate value of the root (with the wanted accuracy). x=1.8034355121172434979372750891406215516950086348 58815...
    The closed form, thanks to the Lambert W function, is :
    x = (1/3)*W(X) where X=3*exp(6)
    There is no simpler formula with elementary functions.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Solving linear equation, example of my problem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 6th 2012, 02:48 PM
  2. Solving linear equation.
    Posted in the Algebra Forum
    Replies: 6
    Last Post: April 7th 2010, 12:39 AM
  3. Help with solving linear equation
    Posted in the Algebra Forum
    Replies: 3
    Last Post: April 10th 2009, 12:02 PM
  4. solving this linear equation
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 11th 2008, 09:27 AM
  5. Help with solving Linear Equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 14th 2008, 08:21 PM

Search Tags


/mathhelpforum @mathhelpforum