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Math Help - Write the expression as a sum, difference, or product of logarithms

  1. #1
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    Write the expression as a sum, difference, or product of logarithms

    Write the expression as a sum, difference, or product of logarithms-14.jpg

    I am in need of help please...I have no idea where to begin on this one...could somebody take me through the process please?
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  2. #2
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    Re: Write the expression as a sum, difference, or product of logarithms

    log baseb (4x^9/z^8)^1/2 = logb 2x^3/z^4 = log 2 +3logx -4logz (all logs base b)
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  3. #3
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    Re: Write the expression as a sum, difference, or product of logarithms

    Quote Originally Posted by aikenfan View Post
    Click image for larger version. 

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    I am in need of help please...I have no idea where to begin on this one...could somebody take me through the process please?
    \log_{b}\sqrt {\frac{4x^9}{z^8}}=\frac{1}{2} \cdot \log_{b} \frac{4x^9}{z^8}=\frac{1}{2} \cdot(\log_{b}4x^9-\log_{b}z^8)=

    =\frac{1}{2} \cdot (\log_{b} 4+9\log_{b} x-8 \log_{b}z)
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  4. #4
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    Re: Write the expression as a sum, difference, or product of logarithms

    [QUOTE=princeps;708543] \log_{b}\sqrt {\frac{4x^9}{z^8}}=\frac{1}{2} \cdot \log_{b} \frac{4x^9}{z^8}=\frac{1}{2} \cdot(\log_{b}4x^9-\log_{b}z^8)=

    =\frac{1}{2} \cdot (\log_{b} 4+9\log_{b} x-8 \log_{b}z)[/QUOTE


    Thanks for correcting my mistake
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