Combining product rule and quotient rule in logarithms

Lessons

• 1.
  Evaluate:
  
  a)

  $\log_5 60 - \log_5 3 + \log_5 5 - \log_5 20$
  
  
  
  b)

  given:

  ${{a \over {bc}} = 9}$
  ask: $5\log_3 a - 5\log_3 b - 5\log_3 c$
  
  
  
  c)

  if $\log_a x = 3$ and $\log_a y = 4,$
  

  evaluate $(\log_a {1 \over xy})^2$
  
  
  

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• 2.
  Simplify $\log 5a^3 - \log b^2 + \log {2b \over c} + \log b - \log{a^3 \over 100}$

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