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Math Help - Sum and/or Difference of Logs

  1. #1
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    Sum and/or Difference of Logs

    Write each sum as a sum and/or difference of logs. Express powers as factors.

    Before getting to the questions, what does the question mean by "Express powers as factors"?

    QUESTIONS:

    (1) log_2[(a/b^2)], where a > 0, b > 0

    (2) ln[x(sqrt{1 + x^2)], where x > 0
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  2. #2
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    "express powers as factors" tells you to use the power rule for logs, i.e.
    \log_b{x^n} = n\log_b{x}
    note that the power "n" is now a factor.

    use the quotient property of logs to break it apart ...

    \log_2 \left(\frac{a}{b^2}\right) =\log_2{a} - \log_2{b^2}

    now finish this one (express powers as factors) and then try the second one yourself ... you'll be using the product property of logs.
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  3. #3
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    Great....

    This is exactly what I was looking for.

    Thanks!
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