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The function log 2 k n is recursively defined by log 2 (k) n = | n log 2 ( log 2 (k-1) n )

The function log2kn is recursively defined by

log2(k)n = | n log2 ( log2(k-1)n ) undefined if k = 0 if log2(k-1)n is defined and positive otherwise

The iterated logarithm is the function log2*n whose value at n is the smallest non-negative integer k such that log2(k)n 1. Find the value of log2(4)2265536.

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