# Ramanujan's nested radical is great! (3)

Algebra Level 3

$\large \displaystyle \prod_{k=2}^{2017}\sqrt[k]{2016\sqrt[k]{2016\sqrt[k]{2016\sqrt[k]{2016\sqrt[k]{\cdots}}}}}=\exp_{2016} \left( \sum_{n=1}^x \dfrac1n\right)$

Find the value of $$x$$ satisfying the equation above.

Notation: $$\exp_A (B)$$ denotes the exponential function $$A^B$$.

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