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Thread: Help with solving this logarithm

  1. #1
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    Help with solving this logarithm

    Can someone please tell me how to solve this?

    Express $\displaystyle \ln 9\sqrt{2}$ in terms of $\displaystyle \ln 3$ and $\displaystyle ln 2$
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  2. #2
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    Quote Originally Posted by softwareguy View Post
    Can someone please tell me how to solve this?

    Express $\displaystyle \ln 9\sqrt{2}$ in terms of $\displaystyle \ln 3$ and $\displaystyle ln 2$
    $\displaystyle \ln{(9\sqrt{2})} = \ln{(3^2\cdot 2^{\frac{1}{2}})}$

    $\displaystyle = \ln{(3^2)} + \ln{(2^{\frac{1}{2}})}$

    $\displaystyle = 2\ln{3} + \frac{1}{2}\ln{2}$.
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