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Math Help - evaluating logarithmic expressions

  1. #1
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    evaluating logarithmic expressions

    dang logs!

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  2. #2
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    log_3(27^\frac {1}{9})
    \frac {1}{9}log_3(27)
    \frac {1}{9}log_3(3^3)
    \frac {1}{9}3log_3(3)
    \frac {1}{3}
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  3. #3
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    Quote Originally Posted by mankvill View Post
    dang logs!
    You only have to change \sqrt[9]{27} into an expression with the base 3. The exponent of this expression is the logarithm you are looking for:

    \sqrt[9]{27} = \left(3^{3}\right)^{\frac19}


    I'm a bit curious: I know decimal logarithms and natural logarithms but I have never heard about dang logarithms
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  4. #4
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    Therfore the answer will be
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