Question

Please help

Write the expression as a single natural logarithm. 2 ln x – 4 ln c
A. In x^2/c^4
B. In (x^+c^4)
C. In (x^2-c^4)
D. In c^4/x^2

Answer 1

A.

Explanation:

Answer 2

Answer: A.
`ln\ (x^2)/(c^4)`

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\ (x^2)/(c^4)............[\text{by quotient rule}]`

Thus, A is the right answer.