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log the log (Posted on 2006-06-11)

Given that

2^x = x^{(2⁶⁵⁵²⁰)}

find log₂(log₂(x)).

See The Solution Submitted by Jer

Rating: 3.5000 (4 votes)

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Starting from the end

| Comment 4 of 5 |

If you are asking for the log2(log2(x)), then start by writing x=2^(2^p)), for then the answer will be p.

2^(2^(2^p)) should equal 2^(2^p))^(2^65520), so 2^(2^p) should equal 2^(p.2 ^65520), so 2^p should equal p.2^65520, which gives p=16.

Posted by Federico Kereki on 2006-06-12 15:45:10

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