SOLUTION: Express as a single logarithm and, if possible, simplify. (((logb 3x + 6(logb x - logb y) ))))

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Question 433968: Express as a single logarithm and, if possible, simplify.
(((logb 3x + 6(logb x - logb y) ))))

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
logb 3x + 6(logb x - logb y)
------
logb(3x) + 6logb(x)-6logb(y)
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= logb(3x) + logb(x^6) - logb(y^6)
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= logb[3x*x^6/y^6]
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= logb[3x^7/y^6]
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Cheers,
Stan H.
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