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Find the smallest integral value of x s...

Find the smallest integral value of `x` satisfying `(x-2)^(x^2-6x+8))>1`

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`(x-2)^(x^2-6x+8)`
1)`x-2<1`
`x^2-6x+8>0`
`x^2-4x-2x+8>0`
`(x-4)(x-2)>0`
`x in (-oo.2)(4,oo)`
`x in(4,oo)`
2)`x-2<1`
...
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