Question 825634
*[Tex \Large \log(x^2-2x+1)-\log(x+1)-\log(x+1)]


*[Tex \Large \log(x^2-2x+1)-\left(\log(x+1)+\log(x+1)\right)]


*[Tex \Large \log(x^2-2x+1)-\log((x+1)(x+1))]


*[Tex \Large \log(x^2-2x+1)-\log((x+1)^2)]


*[Tex \Large \log\left(\frac{x^2-2x+1}{(x+1)^2}\right)]


*[Tex \Large \log\left(\frac{(x-1)^2}{(x+1)^2}\right)]


*[Tex \Large \log\left(\left(\frac{x-1}{x+1}\right)^2\right)]


*[Tex \Large 2\log\left(\frac{x-1}{x+1}\right)]



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Final Answer:


*[Tex \Large 2\log\left(\frac{x-1}{x+1}\right)]