Question

Pre-Calculas question, see comments for problem.

Answer 1

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.

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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