Question 378583
To solve this problem, you need to understand the LAWS of LOGARITHMS.


First, you may write this as
{{{log(x)-3*log((x-1))}}}
{{{log(x) -log((x-1))^3}}}
{{{log(x/((x-1)^3)) }}}


For a complete explanation of LOGARITHMS, please see my own website.  Click on my tutor name "Rapaljer" anywhere in algebra.com, and then click on my website that is given there.  Look for the link "Basic, Intermediate, and College Algebra: One Step at a Time" and select "College Algebra", "Chapter 4".  My explanations were written for students who have trouble understanding math, and according to my own students, much easier to understand than traditional textbooks.  


I also have TWO complete videos from my classes before I retired in which I taught the lessons myself.  The videos are FREE.  Look for "Rapalje Videos in Living Color" on my Homepage.


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus