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Math Help - Whether it is possible to present the sum of two composed, as work of these composed?

  1. #1
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    Whether it is possible to present the sum of two composed, as work of these composed?

    Whether it is possible to present the sum of two composed, as work of these composed, erected in some degrees: a+b = a^{f(x)}b^{g(y)}
    f(x)=?
    g(y)=?
    Last edited by d425473; March 29th 2012 at 12:02 AM.
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  2. #2
    MHF Contributor Amer's Avatar
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    Re: Whether it is possible to present the sum of two composed, as work of these compo

    a+b = a^{f(x)}b^{g(y)}

    \ln (a+b) = \ln (a^{f(x)}b^{g(y)})

    \ln (a+b) = \ln(a^{f(x)} ) + \ln (b^{g(y)})

    \ln(a^{f(x)} )  = \ln (a+b) - \ln (b^{g(y)})

    f(x) = \frac{ \ln\left( \frac{a+b}{b^{g(y)}}\right))}{\ln (a) }

    same way u can find g(y)
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