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Math Help - Please help! Im doing log problems and I think I have the answer. Can someone help?

  1. #1
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    Please help! Im doing log problems and I think I have the answer. Can someone help?

    Rewrite in terms of simpler logs (expand)
    Im not sure how to type the problem but it looks like loga(7 above square root sign. Inside the square root it looks like x^14y^2 / z^4)

    What I got was 2loga(x)+ 2/7loga(y)- 4/7loga(z)

    The next one says Rewrite as single log (condense)
    2/3loga(x^9y^6)+4loga(x^3/4)-5loga(y)

    I got loga(y^20)
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  2. #2
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    Quote Originally Posted by Jluse7 View Post
    Rewrite in terms of simpler logs (expand)
    Im not sure how to type the problem but it looks like loga(7 above square root sign. Inside the square root it looks like x^14y^2 / z^4)

    What I got was 2loga(x)+ 2/7loga(y)- 4/7loga(z) <<<<<<<< OK

    The next one says Rewrite as single log (condense)
    2/3loga(x^9y^6)+4loga(x^3/4)-5loga(y)

    I got loga(y^20)
    To your 2nd problem:

    \frac23 \log_a(x^9 \cdot y^6) + 4 \log_a(x^{\frac34}) - 5 \log_a(y) =

    \log_a(x^6 \cdot y^4) +  \log_a(x^3) - \log_a(y^5) =

    \log_a\left(\dfrac{x^6 \cdot y^4 \cdot x^3}{y^5}  \right) =

    \log_a\left(\dfrac{x^9}{y}  \right)
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