text: +0
  
  If 6.9^a = 4.7^b, then b/a = ?
  
  0
  320
  1
  +86
  
  If 6.9^a = 4.7^b, then b/a = ? Round the answer to two decimal places.
  
  a*log(6.9) = b*log(4.7)
  
  log(4.7)/log(6.9) = 0.80
  
  Did I do this wrong? This dosn't seem to be the correct answer.
  
  Jan 30, 2018
  
  #1
  +2338
  +1
  
  You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.
  
  $$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$
  
  Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.
  
  Jan 30, 2018
  
  #1
  +2338
  +1
  
  You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.
  
  $$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$
  
  Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.
  
  TheXSquaredFactor Jan 30, 2018
explanation: The document contains a math question and an attempt at an answer. The user asks for the value of \( b/a \) given the equation \( 6.9^a = 4.7^b \), and provides their working, which leads to \( \frac{a}{b} \approx 0.80 \). The response from another user points out that the user solved for \( \frac{a}{b} \) instead of \( \frac{b}{a} \).
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: +0
  
  If 6.9^a = 4.7^b, then b/a = ?
  
  0
  320
  1
  +86
  
  If 6.9^a = 4.7^b, then b/a = ? Round the answer to two decimal places.
  
  a*log(6.9) = b*log(4.7)
  
  log(4.7)/log(6.9) = 0.80
  
  Did I do this wrong? This dosn't seem to be the correct answer.
  
  Jan 30, 2018
  
  #1
  +2338
  +1
  
  You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.
  
  $$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$
  
  Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.
  
  Jan 30, 2018
  
  #1
  +2338
  +1
  
  You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.
  
  $$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$
  
  Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.
  
  TheXSquaredFactor Jan 30, 2018
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and an attempt at an answer. The user asks for the value of \( b/a \) given the equation \( 6.9^a = 4.7^b \), and provides their working, which leads to \( \frac{a}{b} \approx 0.80 \). The response from another user points out that the user solved for \( \frac{a}{b} \) instead of \( \frac{b}{a} \).
  
  Label: question-and-answer