If log(a+b+c) = log a + log b + log c, t...

If `log(a+b+c) = log a + log b + log c`, then prove that
`log ((2a)/(1-a^(2))+(2b)/(1-b^(2))+(2c)/(1-c^(2))) = log(2a)/(1-a^(2)) + log (2b)/(1-b^(2)) + log(2c)/(1-c^(2))`.

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