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Math Help - Combine the equation into a single logarithm

  1. #1
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    Combine the equation into a single logarithm

    1/4log˅br + 2log˅bs -2/3log˅bt

    i multipled the first two terms and divided the last one from the to get an answer of log˅b r^1/4s^2/t^2

    is this the correct approach and answer?
    many thanks.
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  2. #2
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    Quote Originally Posted by SilvaNoctix View Post
    1/4log˅br + 2log˅bs -2/3log˅bt

    i multipled the first two terms and divided the last one from the to get an answer of log˅b r^1/4s^2/t^2

    is this the correct approach and answer?
    many thanks.
    Dear SilvaNoctix,

    Do you mean, \displaystyle\log_{b}\left(\frac{r^{\frac{1}{4}}s^  2}{t^{\frac{2}{3}}}\right) ??
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  3. #3
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    yes, sorry, i'm not used to writing equations on this site yet. That's exactly what i meant though... is it the correct answer?
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  4. #4
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    Quote Originally Posted by SilvaNoctix View Post
    yes, sorry, i'm not used to writing equations on this site yet. That's exactly what i meant though... is it the correct answer?
    Yes it is correct. If you have used the logarithm rules,

    \log (A\timesB)=\log A+\log B

    \log \left(\frac{A}{B}\right)=\log A-\log B

    \log A^{n}=n\log A

    .....then the approach is also correct.
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