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:
  
  $= {\log}_{3} {\left(\frac{12}{4}\right)}^{2} = {\log}_{3} \left({3}^{2}\right) = 2$
explanation: The document contains a math question and its corresponding answer. The question is how to evaluate the expression \(2 \log_3 12 - 2 \log_3 4\), and the answer provided is \(2\).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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:
  
  $= {\log}_{3} {\left(\frac{12}{4}\right)}^{2} = {\log}_{3} \left({3}^{2}\right) = 2$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question is how to evaluate the expression \(2 \log_3 12 - 2 \log_3 4\), and the answer provided is \(2\).
  
  Label: question-and-answer