SOLUTION: single logarithm: 1.) 1/2ln1/2-ln2+ln5+ln12 2.) 3/2log6-1/2log3-4

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Question 513637: single logarithm:
1.) 1/2ln1/2-ln2+ln5+ln12
2.) 3/2log6-1/2log3-4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1.) 1/2ln1/2-ln2+ln5+ln12
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= ln(sqrt(1/2)) + ln[5*12/2]
----
= ln[30*sqrt(1/2)]
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2.) 3/2log6-1/2log3-4
log(6^(3/2) - log(3^(1/2) - 4
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= log[(6^3/2)/3^(1/2)] - 4
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= log [(3*2)^(3/2)/3^(1/2)] - 4
----
= log[9*2^(3/2)]-4
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Cheers,
Stan H.
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