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lovekblue
 2 years ago
How to simplify 11/5 (ln2  1/2 (ln9) + 1/2 (ln6)?
lovekblue
 2 years ago
How to simplify 11/5 (ln2  1/2 (ln9) + 1/2 (ln6)?

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geoffb
 2 years ago
Best ResponseYou've already chosen the best response.1You have no variables, so can't you just solve it?

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0i need to be in exact form

geoffb
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, right. Sorry, wasn't thinking.

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0i dont know if i can just bring the 1/2 to the 9 , so it will be 3

geoffb
 2 years ago
Best ResponseYou've already chosen the best response.1Well, \(1/2 \ln 9\) is \(\ln 3\), right?

geoffb
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah, because \(a \log x = \log x^a\)

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0then will the final answer be (ln 2sqrt 6/ 3)?

geoffb
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{11}{5} (\ln 2  \ln 3 + \ln \sqrt{6}) = \frac{11}{5} (\ln \frac{2 \sqrt{6}}{3}) \text{ or } \ln (\frac{2 \sqrt{6}}{3})^{\frac{11}{5}}\] Is that math right?
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