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
  1. Evaluate:
    1. log560log53+log55log520\log_5 60 - \log_5 3 + \log_5 5 - \log_5 20

    2. given:
      abc=9 {{a \over {bc}} = 9}
      ask: 5log3a5log3b5log3c 5\log_3 a - 5\log_3 b - 5\log_3 c

    3. if logax=3 \log_a x = 3 and logay=4, \log_a y = 4,
      evaluate (loga1xy)2 (\log_a {1 \over xy})^2

What is a logarithm?
Notes
log[AB÷C÷DE]=log  A+log  Blog  Clog  D+log  E \log [A \cdot B \div C \div D \cdot E] = \log\;A + \log\;B - \log\;C - \log\;D + \log\;E