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Write the expression as a single natural logarithm.

3 ln x - 2 ln c


A.

B. ln(x3 + c2)


C. ln(x3 - c2)


D. lnx3c2

User Fath
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2 Answers

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3 In x - 2 In c = In x^3 - In c^2 = ln (x^3/c^2)
User Yantao Xie
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Answer:


ln((x^3)/(c^2))

Explanation:

3 ln x - 2 ln c

We apply log properties

m log(a) = log a^m

We apply this property for each term

3 ln x becomes ln x^3 and 2ln c becomes ln c^2


ln x^3 - ln c^2

Now we apply one more property

ln (a) - ln(b) = ln(a/b)


ln x^3 - ln c^2 becomes


ln((x^3)/(c^2))


User Ronser
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