SOLUTION: Could you please show me the steps to simplifying the following logarithm? Thanks. 3ln((e^2)-e)-3 I know the answer is 3ln(e-1) but am not sure of the steps.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Could you please show me the steps to simplifying the following logarithm? Thanks. 3ln((e^2)-e)-3 I know the answer is 3ln(e-1) but am not sure of the steps.      Log On


   

Question 593362: Could you please show me the steps to simplifying the following logarithm? Thanks.
3ln((e^2)-e)-3
I know the answer is 3ln(e-1) but am not sure of the steps.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3ln( e^2 - e ) - 3

3ln( e(e - 1) ) - 3

3( ln(e) + ln(e-1) ) - 3

3ln(e) + 3ln(e - 1) - 3

3 + 3ln(e - 1) - 3

3ln(e - 1)


So 3ln( e^2 - e ) - 3 = 3ln(e - 1)