Question

The greatest integer less than or equal to the number `log_2(15)xx log_(1/6)2xx log_3(1/6)` is
A. 4
B. 3
C. 2
D. 1

Answer 1

Correct Answer - C
`log_(2)15xxlog_(1//6)2xxlog_(3)1//6`
`=(log 15)/(log 2).(log 2)/(log 1//6).(log 1//6)/(log 3)`
`=(log 15)/(log 3)=(log 3+ log 5)/(log 3)`
`= 1+log_(3)5 gt 1+1`