Question

PLEASE HELP ME SOLVE THIS QUESTION
ln(x^3 / (1 + x))

Answer 1

3·ln(x) -ln(1+x)

Explanation:

You want to "solve" the expression ln(x³/(1+x)).

Rules of logarithms

The relevant rules of logarithms are ...

ln(a^b) = b·ln(a)

ln(a/b) = ln(a) -ln(b)

Application

The given log expression can be expanded as ...

`\ln{\left((x^3)/(1+x)\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}`