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Math Help - Ln Question

  1. #1
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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. #2
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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. #3
    Senior Member Peritus's Avatar
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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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