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lovekblue

  • 3 years ago

How to simplify 11/5 (ln2 - 1/2 (ln9) + 1/2 (ln6)?

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  1. geoffb
    • 3 years ago
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    You have no variables, so can't you just solve it?

  2. lovekblue
    • 3 years ago
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    i need to be in exact form

  3. geoffb
    • 3 years ago
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    Oh, right. Sorry, wasn't thinking.

  4. lovekblue
    • 3 years ago
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    i dont know if i can just bring the 1/2 to the 9 , so it will be 3

  5. geoffb
    • 3 years ago
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    Well, \(1/2 \ln 9\) is \(\ln 3\), right?

  6. geoffb
    • 3 years ago
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    Yeah, because \(a \log x = \log x^a\)

  7. lovekblue
    • 3 years ago
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    then will the final answer be (ln 2sqrt 6/ 3)?

  8. geoffb
    • 3 years ago
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    \[\frac{11}{5} (\ln 2 - \ln 3 + \ln \sqrt{6}) = \frac{11}{5} (\ln \frac{2 \sqrt{6}}{3}) \text{ or } \ln (\frac{2 \sqrt{6}}{3})^{\frac{11}{5}}\] Is that math right?

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