text: How do you evaluate 2 log_3 12 - 2 log_3 4?
  
  May 5, 2016
  
  I found: $2$
  
  Explanation:
  
  I would use the properties of logs and write:
  
  ${\log}_{3} {\left(12\right)}^{\textcolor{red}{2}} - {\log}_{3} {\left(4\right)}^{\textcolor{red}{2}} =$
  
  and then:
  
  $= {\log}_{3} {\left(\frac{12}{4}\right)}^{2} = {\log}_{3} \left({3}^{2}\right) = 2$