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Math Help - Need Help With a Logarithmic Problem

  1. #1
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    Need Help With a Logarithmic Problem

    I dont understand what I am doing wrong.

    Here it is
    Given log a ^2= .69, log a ^3=1.10 and log a ^5=1.61, use the properties of logarithms to evaluate:

    log a 1/square root of 15


    Can any of you please help with this problem? I would really appreciate it.
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  2. #2
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    Re: Need Help With a Logarithmic Problem

    The question is not clear. What do you want to find
    log a 1/square root of 15???? or log a^1/square root of 15??
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  3. #3
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    Re: Need Help With a Logarithmic Problem

    Need Help With a Logarithmic Problem-math.jpg

    Here is a picture of the problem. Thank you.
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  4. #4
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    Re: Need Help With a Logarithmic Problem

    \log_a{\frac{1}{\sqrt{15}}} = -\log_a{\sqrt{15}} = -\frac{1}{2}\log_a{15} = -\frac{1}{2}\log_a(3 \cdot 5) = -\frac{1}{2}\left(\log_a{3}+\log_a{5}\right)
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