perplexus.info :: Just Math : log the log

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

Given that

2^x = x^{(2⁶⁵⁵²⁰)}

find log₂(log₂(x)).

Submitted by Jer

Rating: 3.5000 (4 votes)

Solution: (Hide)

log₂log₂x = 16
x=2^25536=2^(2^16)
log₂2^x=log₂2x^(2^65520)
x=2^65520*log₂x
log₂x = 65520 + log₂log₂x
2^16 = 65520 + 16

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Starting from the end	Bon	2006-07-24 08:21:20
Starting from the end	Federico Kereki	2006-06-12 15:45:10
A Different Approach	K Sengupta	2006-06-11 14:59:06
re: Willing to bet	Charlie	2006-06-11 11:36:08
Willing to bet	e.g.	2006-06-11 11:02:54

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