SOLUTION: express as a single logarithm: (a) 3log(x-2)+ 1/2 log(x) (b) log(3xy)- log(x)

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Question 105800: express as a single logarithm:
(a) 3log(x-2)+ 1/2 log(x)
(b) log(3xy)- log(x)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
express as a single logarithm:
(a) 3log(x-2)+ 1/2 log(x)
= log(x-2)^3 + log (x^(1/2))
= log[x^(1/2)(x-2)^3]
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(b) log(3xy)- log(x)
= log [3xy/x]
= log (3y)
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Cheers,
Stan H.