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!
The text passage contains a mathematical question with a step-by-step solution and a follow-up confirmation and final answer.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
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- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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!
user
The text passage contains a mathematical question with a step-by-step solution and a follow-up confirmation and final answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER