Properties of Log-Sums

Algebra Level 3

Let

\[A= \sum_{n=1}^{2014}{n} ~~~\text{and} ~~~ B= \sum_{n=1}^{2014}{n^3}.\]

Find the value of \(\log_{\sqrt A} {B}\)

Note: This question is taken from NTSE (Tamil Nadu) 2014.

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