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Combining product rule and quotient rule in logarithms

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Now Playing:Combine product rule and quotient rule in logarithms – Example 1a
Examples
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  1. Evaluate:
    1. log⁡560−log⁡53+log⁡55−log⁡520\log_5 60 - \log_5 3 + \log_5 5 - \log_5 20

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    2. given:
      abc=9 {{a \over {bc}} = 9}
      ask: 5log⁡3a−5log⁡3b−5log⁡3c 5\log_3 a - 5\log_3 b - 5\log_3 c

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    3. if log⁡ax=3 \log_a x = 3 and log⁡ay=4, \log_a y = 4,
      evaluate (log⁡a1xy)2 (\log_a {1 \over xy})^2

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Practice
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Combine Product Rule And Quotient Rule In Logarithms 1a
Converting from logarithmic form to exponential form
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Notes
log⁡[A⋅B÷C÷D⋅E]=log⁡  A+log⁡  B−log⁡  C−log⁡  D+log⁡  E \log [A \cdot B \div C \div D \cdot E] = \log\;A + \log\;B - \log\;C - \log\;D + \log\;E