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Solve the following - (a)" " log(2)xle...

Solve the following -
`(a)" " log_(2)xle(2)/(log_(2)x-1)" " `

Text Solution

Verified by Experts

Let `log_(2)x=t`
`tle2/(t-1) rArr t-2/(t-1) le0`
`rArr (t^(2)-t-2)/(t-1) le0 rArr ((t-2)(t+1))/(t-1) le0`
`rArr t in (-infty, -1) cup (1,2)`
or `x in (0,1/2) cup (2,4)`
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