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Math Help - fraction exponent in denominator

  1. #1
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    fraction exponent in denominator

    I have ln[1/sqrt(x)]

    I
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  2. #2
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    You can write \frac{1}{\sqrt{x}} as x^{-1/2}.
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  3. #3
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    ok. how would it be simplified into -.5ln[x] though?
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  4. #4
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    Quote Originally Posted by Shadowfox1 View Post
    I have ln[1/sqrt(x)]

    I
    \ln \frac{1}{\sqrt{x}} = \ln \frac{1}{x^{\frac{1}{2}}}= \ln x^{-\frac{1}{2}}= -\frac{1}{2} \ln x = -\frac{\ln x}{2}
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  5. #5
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    o ok. that makes sense. So can I always bring down the exponent when its negative?
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