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Hardest Math Problem EVAR

  1. Jul 29, 2009 #1
    Hardest Math Problem EVAR!!!

    1. The problem statement, all variables and given/known data

    300 * 1,05x = 160 * 1.07x

    2. Relevant equations

    what is x?


    3. The attempt at a solution

    140 = 1,05x / 1.07x

    i can solve this using a graphic calculator but i want to do it mathematically.
     
  2. jcsd
  3. Jul 29, 2009 #2

    Dick

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    Re: Hardest Math Problem EVAR!!!

    Your combined form should be 300/140=1.07^x/1.05^x. Take the log (any base) of both sides. Do you see how the laws of logarithms log(a*b)=log(a)+lob(b) and log(a^x)=x*log(a) can make this the easiest linear equation EVAR!
     
    Last edited: Jul 29, 2009
  4. Jul 29, 2009 #3
    Re: Hardest Math Problem EVAR!!!

    is it 300/140 or 300/160?

    thanks for the help.
     
  5. Jul 29, 2009 #4

    Dick

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    Re: Hardest Math Problem EVAR!!!

    300/160, of course. Sorry about the slip.
     
  6. Jul 29, 2009 #5

    Cyosis

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    Re: Hardest Math Problem EVAR!!!

    Edit: I mistook your post for being the solution to the problem
     
  7. Jul 29, 2009 #6
    Re: Hardest Math Problem EVAR!!!

    (1.05/1.07)x = 160 / 300

    got it muchos gracias.
     
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