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Math Help - Help: (X+1)/(X-1)

  1. #1
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    Exclamation Help: (X+1)/(X-1)

    Hi,
    Im having some problems solving following equation:
    2^(X+1) = 3^(X-1) -> log 3/log 2 = (X+1)/(X-1).. but i cant get any further, please help.
    How do i continue with (X+1)/(X-1) ? my guess is to get (X-1) to a number without X?
    thanks
    //Thomas
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by thomas33 View Post
    Hi,
    Im having some problems solving following equation:
    2^(X+1) = 3^(X-1) -> log 3/log 2 = (X+1)/(X-1).. but i cant get any further, please help.
    How do i continue with (X+1)/(X-1) ? my guess is to get (X-1) to a number without X?
    thanks
    //Thomas
    Hi thomas,

    2^{x+1}=3^{x-1}

    \log2^{x+1}=\log3^{x-1}

    (x+1)\log2=(x-1)\log3

    You should be able to approximate x by finding log 2 and log 3 and solving the equation.
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  3. #3
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    Quote Originally Posted by masters View Post
    Hi thomas,

    2^{x+1}=3^{x-1}

    \log2^{x+1}=\log3^{x-1}

    (x+1)\log2=(x-1)\log3

    You should be able to approximate x by finding log 2 and log 3 and solving the equation.
    Thank you for the quick response: so say we find log2=0,301... and log3=0,477... , and tries to go further.

    0,301(X + 1) = 0,477(X - 1) -> (0,477 - 0,301)X = 0,301 + 0,477 ->

    0,176X = 0,778 -> X = 4,420 - does that sound correctly?

    i tried to make log3/log2 before to get better result but ended up with the situationen as stated before! but, cant i somehow simplify the (x+1)/(x-1)?

    //Thomas
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