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JEE MAIN 2021 S2
25-07-2021 S2
Question
Let a curve $y=f(x)$ pass through the point $\left(2,\left(\log _e 2\right)^2\right)$ and have slope $\frac{2 y}{x \log _e x}$ for all positive real value of $x$. Then the value of $f(e)$ is equal to $\_\_\_\_$ .
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