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Math Help - please help with solving this 6ln6-2ln2-8ln8+4ln4

  1. #1
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    please help with solving this 6ln6-2ln2-8ln8+4ln4

    please help solve 6ln6-2ln2-8ln8+4ln4. the answer should be 6ln3-12ln2 but I'm not sure how they got that. thank you.
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    Re: please help with solving this 6ln6-2ln2-8ln8+4ln4

    Quote Originally Posted by start5 View Post
    please help solve 6ln6-2ln2-8ln8+4ln4. the answer should be 6ln3-12ln2 but I'm not sure how they got that. thank you.
    $6\log(6)=6\log(2)+6\log(3)\\8\log(8)=24\log(2)\\4 \log(4)=8\log(2)$
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    Re: please help with solving this 6ln6-2ln2-8ln8+4ln4

    Quote Originally Posted by start5 View Post
    please help solve 6ln6-2ln2-8ln8+4ln4. the answer should be 6ln3-12ln2 but I'm not sure how they got that. thank you.
    Do you see that $6ln(6) = 6ln(3 * 2) = 6\{ln(3) + ln(2)\} = 6ln(3) + 6ln(2)?$

    Can you work it out now? If not, please show what work you were able to do so we can see where you are getting stuck .
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