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The value of (1)/(log(bc)abc)+(1)/(log(c...

The value of `(1)/(log_(bc)abc)+(1)/(log_(ca)abc)+(1)/(log_(ab)abc)` is equal to `(a, b, c gt 0)`

A

0

B

`1//2`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`(1)/("log"_(sqrt(bc))abc) + (1)/("log"_(sqrt(ca))abc) + (1)/("log"_(sqrt(ab))abc)`
`= "log"_(abc) sqrt(bc) + "log"_(abc)sqrt(ca) + "log"_(abc) sqrt(ab) = "log"_(abc) abc =1`
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