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Math Help - Logarithms

  1. #1
    Junior Member R3ap3r's Avatar
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    Logarithms

    log_5 326

    \frac{log\; 326}{log\; 5}

    3.596

    is this right?
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  2. #2
    o_O
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    Yep.
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  3. #3
    Bar0n janvdl's Avatar
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    Quote Originally Posted by R3ap3r View Post
    log_5 326

    \frac{log\; 326}{log\; 5}

    3.596

    is this right?
    Indeedy it is!
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  4. #4
    Super Member

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    Hello, R3ap3r!

    \log_5 326 \;=\;\frac{\log326}{\log5} \;=\;3.595601506 \;\approx\;3.596

    Is this right? . . . . . Right!
    You can check your own answer . . .


    \text{If }\log_5326 \:=\:3.596\text{, then: }\:5^{3.596} \:=\:326 . . . Is this true?

    The calculator says: . 5^{3.596} \;=\;326.2091477 . . . close enough!


    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

    For an even better check, use more digits of your answer.

    For example, use 3.5956015

    Then:. . 5^{3.5956015} \;=\;325.999997 . . . . Yes!

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