Homework Help

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

user profile pic

good2beme | Student, Undergraduate | (Level 1) Honors

Posted July 3, 2013 at 2:51 AM via web

dislike 1 like

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

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 3, 2013 at 2:53 AM (Answer #1)

dislike 1 like

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

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes