Let a curve y=f(x) pass through the point (2,(\log _{{e}} 2)^{2}) and have slope {2 {y}}/{{x} \log _{{c}} {x}} for all positivereal value of x. Then the value of f(e) is equalto _______. [25 Jul 2021 Shift 2]

JEE Main 25 July 2021 Shift 2 Solved Paper

Section: Mathematics

Question : 86 of 90

Marks: +1, -0

Let a curve y=f(x) pass through the point (2,(loge2)2) and have slope

xlogcx

for all positivereal value of x. Then the value of f(e) is equalto _______.

[25 Jul 2021 Shift 2]

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