Pre-calc discussion question

For how many integers from 1 through 10 can the natural logarithms be approximated given that ln2 ≈ 0.6931, ln3 ≈ 1.0986, and ln5 ≈ 1.6094? Use the laws and rules of logarithms to approximate these logarithms ( DO NOT USE A CALCULATOR). Explain your answers.

This discussion is worth 12 points, 8 for your post and 2 points each for replies to two classmates.