# Large Logs

Algebra Level 5

If $$x$$ is the number of terminating zeroes of $${ 100 }^{ { 1000 }^{ 10000 } }$$ and $$y$$ is the number of terminating zeroes of $${ 1000 }^{ { 10000 }^{ 100000 } }$$, compute $$\left\lfloor \log _{ x }{ y } \right\rfloor$$.

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