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Log9tan(pi/6)...

`Log_9tan(pi/6)`

Text Solution

Verified by Experts

`log_9(tan(pi/6)) = log_9(1/sqrt3)`
`= 1/2log_3(3^(-1/2))`
`= -1/2**1/2log_3 3`
`= -1/4**1`
`= -1/4`
`:. log_9(tan(pi/6)) = -1/4`
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