If x = logc (ab), y = loga (bc), z = logb (ca), then which of the following is correct?

1
xyz = 1
2
x + y + z = 1
3
(1 + x)-1 + (1 + y)-1 + (1 + z)-1 = 1
4
(1 + x)-2 + (1 + y)-2 + (1 + z)-2 = 1

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