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Math Help - Are these two functions the same,

  1. #1
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    Are these two functions the same,

    Can someone tell em if these two equations are the same

    x = A[(s/δ)]^α/(1-α)

    And

    x = A[(δ/sA)^(1/(α-1))]^α

    Thnaks

    Edit: I can not seem to get TEX functions to work, sorry


    Last edited by entrepreneurforum.co.uk; October 9th 2012 at 12:51 PM.
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  2. #2
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    Re: Are these two functions the same,

    Without TEX, it's hard to figure out what your functions are. I'm guessing:

    x = A(\frac{s}{\delta})^\frac{\alpha}{1-\alpha}

    and

    x = A\left[(\frac{\delta}{sA})^{\frac{1}{\alpha-1}}\right]^\alpha

    To figure out if they're the same function, you use algebraic methods to put each in some standard form. The first one is:

    x = A(\frac{s}{\delta})^\frac{\alpha}{1-\alpha}= As^\frac{\alpha}{1-\alpha}\delta^\frac{-\alpha}{1-\alpha}

    The second one is:

    x = A\left[(\frac{\delta}{sA})^{\frac{1}{\alpha-1}}\right]^\alpha= A(\frac{\delta}{sA})^{\frac{\alpha}{\alpha-1}}= A\delta^{\frac{\alpha}{\alpha-1}}s^{\frac{-\alpha}{\alpha-1}}A^{\frac{-\alpha}{\alpha-1}}=A^{\frac{-1}{\alpha-1}}s^{\frac{-\alpha}{\alpha-1}}\delta^{\frac{\alpha}{\alpha-1}}

    So the answer is no, assuming I interpreted the functions correctly. If not, that's the general idea, so hopefully you can do it with the correct functions.

    - Hollywood
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