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Algebra Level 4

If \(f(x)=\ln \left (\dfrac{1+x}{1-x} \right )\) then which of these answer choices is true?

For more questions on logarithms try this set Logs of logs.

\[f(x+2)-2f(x+1)+f(x)=0\] \[f(x_1)\cdot f(x_2)=f(x_1+x_2)\] \[f(x+1)+f(x)=f(x^2+x)\] \[f(x_1)+f(x_2)=f \left (\frac{x_1+x_2}{1+x_1x_2} \right )\]

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by Gautam Sharma

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