Question

Expand: In 2a^3/b^4

Answer 1

Answer:

$(A)ln 2+3lna-4ln b$

Step-by-step explanation:

Given the expression: $ln \dfrac{2a^3}{b^4}$

We apply the following laws of logarithm to expand:

$Log (ab)=Log a+Log b\\Log(a/b)=Log a-Log b\\Log a^x=xLog a$

Therefore:

$ln \dfrac{2a^3}{b^4}=ln 2a^3-ln b^4\\=ln 2+lna^3-ln b^4\\=ln 2+3lna-4ln b$