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If x,y(x!=1) satisfy both the equation 2...

If `x,y(x!=1)` satisfy both the equation `2^(lnx) = 3^(lny) and (ln^2 x) = (ln^3y).` The value of the expression `sqrt(lny)+3sqrt(lnx)` can be expressed as `log_b a` (where `a, b in N).` Then find the smallest value of `|a-b|.`

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