Locate the complex number z such that lo...

Locate the complex number z such that `log_[cospi/6][ [|z-2| +5] /[4| z-2 | -4]]<2`

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`(t+5)/(4(t-1))>(sqrt3/2)^2`
`(t+5)/(4(t-1)-3/4)>0`
`(t+5-3t+3)/(4t-4)>0`
`(8-2t)/(4(t-1))>0`
`8-2t>0`
`2t<8`
`t<4`
`|z-2|>1,|z-2|<4`.

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