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Math Help - expanding expression using properties of logarithms

  1. #1
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    expanding expression using properties of logarithms

    Use the properties of logarithms to expand the expression.



    Can anyone help me with this one?
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  2. #2
    Moo
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    Hello,

    Ummm well, the only log properties you can use are :
    \ln(ab)=\ln(a)+\ln(b)
    \ln \left(\frac ab \right)=\ln(a)-\ln(b)
    \ln \left(a^b\right)=b \ln(a)

    So here we have :
    \ln \left[\frac{(3x^6+2) \sqrt{x+8}}{(x-1)^4}\right]=\ln [3x^6+2]+\ln \left[\sqrt{x+8}\right]-\ln \left[(x-1)^4\right]
    that was using the first 2 properties.

    now use the last one :
    =\ln [3x^6+2]+\frac 12 \cdot \ln [x+8]-4 \ln [x-1]

    but it doesn't look more beautiful
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  3. #3
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    oh I thought there was much more to it haha.. wow it looked more beautiful just the way it was in the beginning XD.

    Thanks for the help!
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