# The Easy Factlog

Algebra Level 2

$\large\dfrac { 1 }{ \log _{ 2 }{ n } } +\dfrac { 1 }{ \log _{ 3 }{ n } } +\ldots +\dfrac { 1 }{ \log _{ 2006 }{ n } }$

If $$n=2006!$$, then what is the value of the expression above?

×