text: 1. ## exponential functions
  
  I'm having trouble with the following:
  
  i cannot find a problem similar in my book and my friend is stump too. there is an option for no solution.
  
  2. Can i suggest
  
  $4^{1-7x}= 5^{x}$
  
  $\ln 4^{1-7x}= \ln 5^{x}$
  
  $(1-7x)\ln 4= x\ln 5$
  
  $\ln 4-7x\ln 4= x\ln 5$
  
  $\ln 4= x\ln 5+7x\ln 4$
  
  $\ln 4= x(\ln 5+7\ln 4)$
  
  can you finish it?
  
  ln4 / 7ln4 + ln5 could imply only $\frac{\ln 4 }{7\ln 4}+\ln5 = \frac{1 }{7}+\ln5$
explanation: The document contains a math problem involving exponential functions and logarithms. The user is asking for help in solving the equation \(4^{1-7x} = 5^x\). The user has provided a step-by-step approach to solving the equation and is asking if the final step is correct.
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: 1. ## exponential functions
  
  I'm having trouble with the following:
  
  i cannot find a problem similar in my book and my friend is stump too. there is an option for no solution.
  
  2. Can i suggest
  
  $4^{1-7x}= 5^{x}$
  
  $\ln 4^{1-7x}= \ln 5^{x}$
  
  $(1-7x)\ln 4= x\ln 5$
  
  $\ln 4-7x\ln 4= x\ln 5$
  
  $\ln 4= x\ln 5+7x\ln 4$
  
  $\ln 4= x(\ln 5+7\ln 4)$
  
  can you finish it?
  
  ln4 / 7ln4 + ln5 could imply only $\frac{\ln 4 }{7\ln 4}+\ln5 = \frac{1 }{7}+\ln5$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem involving exponential functions and logarithms. The user is asking for help in solving the equation \(4^{1-7x} = 5^x\). The user has provided a step-by-step approach to solving the equation and is asking if the final step is correct.
  
  Label: question-and-answer