Verified Answer :

JeanaShupp

Answer: A. \(ln\ \frac{x^2}{c^4}\)


Step-by-step explanation:

There are some natural log rules as;

Product rule→ ln(x∙y) = ln(x)+ln(y)

Quotient rule→ ln(x/y) = ln(x) - ln(y)

Power rule→ ln(x y) = y∙ln(x)

Given expression: 2ln x-4 ln c

\(=\ ln\ x^2-ln\ c^4......[\text{by power rule}]\\=ln\ \frac{x^2}{c^4}............[\text{by quotient rule}]\)

Thus, A is the right answer.

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