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Math Help - Simplification

  1. #1
    Senior Member
    Joined
    Jul 2008
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    347

    Exclamation Simplification

    Hi

    It's me again. lol

    How do i simplify:

    i) e^(1/2)^(ln x)

    ii) ln(e^(sinx))

    I hav no IDEA how to do i). Is ii) sinx?

    Thanx a lot.
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  2. #2
    MHF Contributor red_dog's Avatar
    Joined
    Jun 2007
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    Medgidia, Romania
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    Thanks
    5
    1) Isn't it \left(e^{\frac{1}{2}}\right)^{\ln x}?

    If it is so, then \left(e^{\frac{1}{2}}\right)^{\ln x}=e^{\frac{1}{2}\ln x}=e^{\ln\sqrt{x}}=\sqrt{x}

    2) \ln\left(e^{\sin x}\right)=\sin x

    Remember that e^{\ln a}=\ln e^a=a
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