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## Given two positive real numbers (x,y) such that (log frac{{sqrt {x – 2} }}{{100y}} = left( {y – sqrt {x – 2} } right)left( {y + sqrt {x – 2} + 1} right) – 2). Maximum value of the expression (P = frac{{ln left( {{y^2} + 2} right)}}{{sqrt[{2021}]{x}}}) belongs to which of the following ranges? – Math book

Given two positive real numbers (x,y) such that (log frac{{sqrt {x – 2} }}{{100y}} = left( {y – sqrt {x – 2} } right)left( {y + sqrt {x – 2} + 1} right) – 2). Maximum value of the expression (P = frac{{ln left( {{y^2} + 2} right)}}{{sqrt[{2021}]{x}}}) belongs to which of the following ranges? – Math book – Learn math