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Thread: Ln Question

  1. October 23rd 2008, 07:56 AM #1
    gearshifter
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    Ln Question

    How do you solve this?

    xln(x)−6+2ln(x)−3x=0


    Thank you!
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  2. October 23rd 2008, 01:42 PM #2
    mr fantastic
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    Quote Originally Posted by gearshifter View Post
    How do you solve this?

    xln(x)−6+2ln(x)−3x=0


    Thank you!
    Are you sure about the red x ....... If the equation is correctly stated, you should use a numerical method (ie. technology) to get an approximate solution.
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  3. October 23rd 2008, 02:41 PM #3
    Peritus
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    <br /> \begin{gathered}<br /> x\ln x - 6 + 2\ln x - 3x = 0 \hfill \\<br /> \Leftrightarrow (x + 2)\ln x = 3x + 6 \hfill \\<br /> \Leftrightarrow \ln x = \frac{{3x + 6}}<br /> {{x + 2}} = 3 \hfill \\<br /> x = e^3 \hfill \\ <br /> \end{gathered}
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