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f(x^3)
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f(x) = log(1+x/1-x)
f(x) = log(1+x) - log(1-x)
To find the given function replace x with (2x/1+x^2).
f(2x/1+x^2) = log(1+(2x/1+x^2)) - log(1-(2x/1+x^2))
f(2x/1+x^2) = log((x^2+1+2x)/(1+x^2))-log((x^2+1-2x)/(1+x^2))
On simplifying the above equation we get,
f(2x/1+x^2) = log((x+1)^2/(x-1)^2).
This can be written as 2*log((x+1)/(x-1)).
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