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Math Help - Evaluating a Logarithm

  1. #1
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    Evaluating a Logarithm

    I'm having trouble evaluating this logarithm (I converted it to an exponential equation just to make it easier to read.)

    3^y = pi

    I've done a casual examination of the examples and problems I have (maybe 30 minutes of review) and I can't find an example where y isn't solvable by inspection.
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    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Evaluating a Logarithm

    Quote Originally Posted by bkbowser View Post
    I'm having trouble evaluating this logarithm (I converted it to an exponential equation just to make it easier to read.)

    3^y = pi

    I've done a casual examination of the examples and problems I have (maybe 30 minutes of review) and I can't find an example where y isn't solvable by inspection.

    3^y=\pi

    \ln{3^y}=\ln{\pi}

    y\ln{3}=\ln{\pi}
    .
    .
    .
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  3. #3
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    Re: Evaluating a Logarithm

    Oh I think I've just been insisting that the process is in the wrong section.

    3^y = pi

    y log 3 = log pi

    so y = (log pi)/(log 3)?
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    Re: Evaluating a Logarithm

    Quote Originally Posted by Also sprach Zarathustra View Post
    3^y=\pi

    \ln{3^y}=\ln{\pi}

    y\ln{3}=\ln{\pi}
    .
    .
    .

    Ha, refresh failure. TYVM sir.
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  5. #5
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    Re: Evaluating a Logarithm

    Futher y = ln pi / ln 3 = ln pi - ln 3 if I am remembering correctly.
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    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Evaluating a Logarithm

    Quote Originally Posted by CalBear12 View Post
    Futher y = ln pi / ln 3 = ln pi - ln 3 if I am remembering correctly.
    Incorrect!


    \ln{\frac{a}{b}}=\ln{a}-\ln{b}

    ---------------------------------

    \frac {\ln{ \pi}} { \ln {3} } = \log_3{\pi}
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