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Math Help - Studying for a final exam, Help with Logs please

  1. #1
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    Question Studying for a final exam, Help with Logs please

    So I understand the 3 log laws. And I also understand the cancellation laws of e and ln.

    I am stuck and my book has no examples like these.
    5^4-1/4logbase5^4

    and

    2 * E^1/4ln(11e^2)

    tried to write that so you can understand it, anything in red is raised up. Any help would be great. thanks
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  2. #2
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    Quote Originally Posted by dpjwilson View Post
    So I understand the 3 log laws. And I also understand the cancellation laws of e and ln.

    I am stuck and my book has no examples like these.
    5^4-1/4logbase5^4

    and

    2 * E^1/4ln(11e^2)

    tried to write that so you can understand it, anything in red is raised up. Any help would be great. thanks
    please confirm the first expression ...

     <br />
5^{4 - \frac{1}{4}\log_5{4}}<br />

    ???



    second ...

    2e^{\frac{1}{4} \ln(11e^2)} =

    2e^{\ln(11e^2)^{\frac{1}{4}}} =

    2(11e^2)^{\frac{1}{4}} =

     <br />
2\sqrt[4]{11} \cdot \sqrt{e}<br />
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  3. #3
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    first one you are correct,
    second problem is the first one that you made. thnx.
    p.s. where can i get that font?
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  4. #4
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    It's not a special font- it's "LaTex" that works on this site. If you click on an equation you can see the code that gives the equation.
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  5. #5
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     <br />
5^{4 - \frac{1}{4}\log_5{4}} =<br />

    \frac{5^4}{5^{\log_5{4^{\frac{1}{4}}}}} =

    \frac{5^4}{4^{\frac{1}{4}}}
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