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Solve : (log)2(x-1)/(x-2)>0...

Solve : `(log)_2(x-1)/(x-2)>0`

Text Solution

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`log_2((x-1)/(x-2)) gt 0`
`=>(x-1)/(x-2)gt 2^0`
`=>(x-1)/(x-2)gt 1`
`=>(x-1)/(x-2) - 1gt 0`
`=>((x-1)-(x-2))/(x-2) gt 0`
`=>1/(x-2) gt 0`
It will be possible, when `x gt 2`.
So, `x in (2,oo)` is the solution for this equation.
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