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Let In x denote the logarithm of x with ...

Let In x denote the logarithm of x with respect to the base e. Let `S << RR` be the set of all points where the function ln `(x^2 – 1)` is well-defined. Then the number of functions `f:S -> RR` that are differentiable. satisfy `f'(x) = ln(x^2 – 1)` for all `x in S and f(2) = 0` is

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