For a, b belongs to R with a > 0, let a^b sup{a^t: t belongs to...

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For a, b belongs to R with a > 0, let a^b sup{a^t: t belongs to Q, t <b}. For x,y belongs to R with x>1 and y>0 let logxy:=sup{s:s belongs to Q, x^s<y} show that x^logxy = y. For a, b belongs to R with a > 0, let a^b sup{a^t: t belongs to Q, t <b}. For x,y belongs to R with x>1 and y>0 let logxy:=sup{s:s belongs to Q, x^s<y} show that x^logxy = y.

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