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Verified Answer :

3 In x - 2 In c = In x^3 - In c^2 = ln (x^3/c^2)

Answer:

\(ln(\frac{x^3}{c^2})\)

Step-by-step 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

\(ln(\frac{x^3}{c^2})\)