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Math Help - Evaluate 2 logarithms

  1. #1
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    Evaluate 2 logarithms

    1. log(no little number) (1/sqrt1000)
    I got to log 1/sqrt 10^3

    2. ln (1/sqrt e^7)
    i got to loge (1/e3.5)

    please help me get through these. Thanks
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  2. #2
    GAMMA Mathematics
    colby2152's Avatar
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    Quote Originally Posted by bilbobaggins View Post
    1. log(no little number) (1/sqrt1000)
    I got to log 1/sqrt 10^3

    2. ln (1/sqrt e^7)
    i got to loge (1/e3.5)

    please help me get through these. Thanks
    1) log_{10}(\frac{1}{\sqrt{10^3}})
    log_{10}(10^{-1.5}) = -1.5

    2) ln (\frac{1}{\sqrt{e^7}})
    ln (e^{-3.5}) = -3.5
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  3. #3
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    Quote Originally Posted by colby2152 View Post
    1) log_{10}(\frac{1}{\sqrt{10^3}})
    log_{10}(10^{-1.5}) = -1.5

    2) ln (\frac{1}{\sqrt{e^7}})
    ln (e^{-3.5}) = -3.5
    thank you very much, I was closer than I thought I was.
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