## anonymous 5 years ago Pre-Calculas question, see comments for problem.

1. anonymous

Solve for "x" $\log_{3}((x-1)^{2})-2\log_{3}(3x-1)=1$ I am quite rusty on my log's, and am a little unsure of how to go about solving this.

2. anonymous

start with $\log_3(\frac{(x-1)^2}{(3x-1)^2})=1$ then write in equivalent exponential form

3. anonymous

$\left (\frac{x-1}{3x-1} \right) ^2=3$

4. anonymous

after that you are on your own, because that does not seem trivial to solve

5. anonymous

well maybe. take the square root, then multiply out etc

6. anonymous

Thank you very much. You've been very helpful.