MathsJEE Main 8 Apr 2026, Shift 2·Q25·Numerical·Moderate

Sets, Relations & Functions · Polynomial functional equation

Let

f

be a polynomial function such that

\log_2(f(x)) = \left(\log_2\left(2 + \frac23 + \frac29 + \ldots\infty\right)\right)\cdot\log_3\left(1 + \frac{f(x)}{f\left(\frac1x\right)}\right),

x > 0

and

f(6) = 37

. Then

\displaystyle\sum_{n=1}^{10} f(n)

is equal to .

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