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Let log (a + c), log (a+b), log(b + c) ...

Let `log (a + c), log (a+b), log(b + c)` (in that order ) in `A.P.` and `a, c, b` (in that order) are in `H.P.`,where `a, b, c > 0.` If `a+b=(kc)/4` then find the value of `k.`

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