SOLUTION: write as a single logarithm with a coefficient of one 5ln(x)-3ln(2x)+2ln(6x)

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Question 819602: write as a single logarithm with a coefficient of one
5ln(x)-3ln(2x)+2ln(6x)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
write as a single logarithm with a coefficient of one
5ln(x)-3ln(2x)+2ln(6x)
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= ln(x^5) - ln(2x)^3 + ln(6x)^2
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= ln(x^5) - ln(8x^3) + ln(36x^2)
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= ln[x^5*36x^2/(8x^3)]
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= ln[(36x^7)/(8x^3)]
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= ln[(9/2)x^4]
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Cheers,
Stan H.
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