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Homework Help: Variable in Exponents

  1. Jan 14, 2009 #1


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

    2. Relevant equations
    logarithm rules?

    3. The attempt at a solution
    Taking the logarithm of both sides only makes things worse from what I can see.
    So really, I don't know how to start.
    [tex]x\approx 0.386744[/tex]
  2. jcsd
  3. Jan 14, 2009 #2


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    hmm … that's 125x - 12x + (√2)x = 5 …

    i can't see any way of solving that except by numerical approximation :redface:
  4. Jan 14, 2009 #3


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    Is this possibly due to the lack of understanding with this maths or because it cannot be solved with an exact answer? Such as 'exact' answers with a series of logarithms, even though the logs themselves are approximated.
    Any idea how I could go about obtaining a reasonably accurate numerical approximation?
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