Using properties of natural logarithms simplify: f(x)=ln(x^3)-lnx

Expert Answers
justaguide eNotes educator| Certified Educator

The function f(x) = ln x^3 - ln x

Use the property of logarithm ln x^3 = 3*ln x

ln x^3 - ln x

= 3*ln x - ln x

= 2*ln x

The function f(x) = ln x^3 - ln x = 2*ln x