Answer: A. [tex]ln\ \frac{x^2}{c^4}[/tex]
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
[tex]=\ ln\ x^2-ln\ c^4......[\text{by power rule}]\\=ln\ \frac{x^2}{c^4}............[\text{by quotient rule}][/tex]
Thus, A is the right answer.