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Math Help - Single Logarithm

  1. #1
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    Single Logarithm

    Write the expression below as a single logarithm.

    (1/3) log(x^3 + 1) + (1/2) log(x^2 + 1)
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  2. #2
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    Quote Originally Posted by magentarita View Post
    Write the expression below as a single logarithm.

    (1/3) log(x^3 + 1) + (1/2) log(x^2 + 1)
    = \log (x^3 + 1)^{1/3} + \log (x^2 + 1)^{1/2}

    = \, ....
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  3. #3
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    What???

    What exactly do you mean do here?
    Last edited by magentarita; August 8th 2008 at 06:47 AM. Reason: Added the word "mean."
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  4. #4
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    Quote Originally Posted by magentarita View Post
    What exactly do you do here?
    First I used the log rule \log A^m = m \log A on each term to get what I posted.

    Then I anticipated that you would use the log rule \log A + \log B = \log (AB) \, .....
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  5. #5
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    ok

    Understood. It is always best to use words in addition to calculations to help make things easier for students. Agree?
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