text: 1. ## Antiderivative of Log
  
  Find f given that f''= $\frac{-3}{x^2}$, f'(3) =5, and f(1) =3.
  
  I got this far:
  
  f'= $\frac{3}{x} + 4$
  
  f=3log(x)+ 4x + C = 3
  
  so log((1)^3) + 4(1) + C =3
  
  Am I on the right track? If so I don't quite know what to do next
  
  2. Yes, looks good. Remember that log(1) = 0. Evaluate C.
  
  3. Right! why do I keep forgetting these simple things
  
  3logx + 4x -1 Thanks!
explanation: The document contains a math question and a series of responses that lead to an answer. The initial post asks for help in finding the function \( f \) given its second derivative and initial conditions. The subsequent posts confirm the approach and provide the final answer.
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. ## Antiderivative of Log
  
  Find f given that f''= $\frac{-3}{x^2}$, f'(3) =5, and f(1) =3.
  
  I got this far:
  
  f'= $\frac{3}{x} + 4$
  
  f=3log(x)+ 4x + C = 3
  
  so log((1)^3) + 4(1) + C =3
  
  Am I on the right track? If so I don't quite know what to do next
  
  2. Yes, looks good. Remember that log(1) = 0. Evaluate C.
  
  3. Right! why do I keep forgetting these simple things
  
  3logx + 4x -1 Thanks!
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and a series of responses that lead to an answer. The initial post asks for help in finding the function \( f \) given its second derivative and initial conditions. The subsequent posts confirm the approach and provide the final answer.
  
  Label: question-and-answer