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Thread: What is this logarithmic/exponential rule?

  1. #1
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    What is this logarithmic/exponential rule?

    Apparently , the following can happen?

    x^(sinx) = e ^ (sinxln(x))

    Why is this possible? I'm am unaware of this rule :c


    However i do know that if i take ln(x^(sinx)) , i get sin(x) * ln(x) which is equal to e ^ (sinxln(x))
    Last edited by lc99; Nov 4th 2017 at 01:31 PM.
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  2. #2
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    Re: What is this logarithmic/exponential rule?

    $x = e^{\ln{x}} \implies x^{\sin{x}} = (e^{\ln{x}})^{\sin{x}}$
    Thanks from lc99 and topsquark
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