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Math Help - Find the domain of the following function

  1. #1
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    Find the domain of the following function

    hello
    it seems not easy
    since we have base and exponent

    f(x)=(1-x)^{ln(2x+1)}
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  2. #2
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    The exponent is defined if and only if 2x+1>0, i.e. x>\frac{-1}{2}
    Additionally one needs 1-x>0, 1-x=0 and ln(2x+1)>0, Or, 1-x \neq 0 and ln(2x+1)=r where r is a rational number with odd denominato.
    i.e. x<1, x=1, or x=\frac{e^r-1}{2} with r as stated.

    Answer: (\frac{-1}{2},1] U { \frac{e^r-1}{2} : r is a rational number number with odd denominator}.
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