How do you condense lnx-3ln(x+1)?

1 Answer
Apr 10, 2018

ln x/(x+1)^3

Explanation:

We have an expression:

ln x - 3ln(x+1)

We use two properties of logarithms:

alogb -= logb^a and log a-logb -= log(a/b)

Applying the first property we can write the expression as:

ln x - ln(x+1)^3

And applying the second property we can write the expression as:

ln (x/(x+1)^3)