'Which of the following when simplified, vanishes?`1|((log)_3 2)+2|((log)_9 4)-3|((log)_(27)8)` `(lo

"Which of the following when simplified, vanishes?
`1/((log)_3 2)+2/((log)_9 4)-3/((log)_(27)8)`


`(log)_2(2/3)+(log)_4(9/4)`

`-(log)_8(log)_4(log)_2 16`

`(log)_(10)cot1^0+\\ (log)_(10)cot2^0+(log)_(10)cot3^0++(log)_(10)cot89^0`"

4)-3/((log)_(27)8)`