C3 Help needed

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  1. 0range's Avatar
    • Exalted and Worshipped Member
    C3 Help needed


    I've done the first part but how would I do part b?
  2. Zii's Avatar
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    Re: C3 Help needed
    (Original post by 0range)


    I've done the first part but how would I do part b?
    x = -\ln(x) \iff x + 2x = -\ln(x) + 2x
  3. 0range's Avatar
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    Re: C3 Help needed
    (Original post by Zii)
    x = -\ln(x) \iff x + 2x = -\ln(x) + 2x
    What would you do from there?

    I mean I can get from the form they want it in to x+lnx = 0
    would that be sufficient?
  4. Zii's Avatar
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    Re: C3 Help needed
    (Original post by 0range)
    What would you do from there?

    I mean I can get from the form they want it in to x+lnx = 0
    would that be sufficient?
    From what I wrote, I am not sure how you are unable to get the desired result. Add x to 2x. This gives you 3x. Now divide both sides by 3.
  5. raheem94's Avatar
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    • Posts: 5,512
    Re: C3 Help needed
    (Original post by 0range)


    I've done the first part but how would I do part b?
    Zii has already mentioned a method. But another way could have been to convert  x = \dfrac{2x-lnx}{3} \to \ x+lnx=0 , then reverse the steps to convert  x+ lnx = 0 \to \ x = \dfrac{2x-lnx}{3} .
  6. me, myself and I's Avatar
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    Re: C3 Help needed
    x + lnx = 0
    x = -lnx
    3x = -lnx + 2x
    x = (2x - lnx) / 3

  7. 0range's Avatar
    • Exalted and Worshipped Member
    Re: C3 Help needed
    (Original post by Zii)
    From what I wrote, I am not sure how you are unable to get the desired result. Add x to 2x. This gives you 3x. Now divide both sides by 3.
    Right sorry heads going a bit blank atm


    (Original post by raheem94)
    Zii has already mentioned a method. But another way could have been to convert  x = \dfrac{2x-lnx}{3} \to \ x+lnx=0 , then reverse the steps to convert  x+ lnx = 0 \to \ x = \dfrac{2x-lnx}{3} .
    Yh I think this might be easier thanks
  8. Zii's Avatar
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    • Posts: 1,256
    Re: C3 Help needed
    (Original post by raheem94)
    Zii has already mentioned a method. But another way could have been to convert  x = \dfrac{2x-lnx}{3} \to \ x+lnx=0 , then reverse the steps to convert  x+ lnx = 0 \to \ x = \dfrac{2x-lnx}{3} .
    (Original post by 0range)
    Yh I think this might be easier thanks
    You know, my method is secretly this method in disguise.
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