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Guest Message by DevFuse

# Inequalities for small integers

3 replies to this topic

### #1 bonanova

bonanova

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Posted 11 February 2014 - 04:51 AM

With a nod to Rainman's interesting puzzle, try this:

Let there be an infinite sequence of exponentiation t = xx...

I don't know whether that could be expressed with up arrows or not, but Rainman's arrows reminded me of this.

Anyway, there is an infinite sequence of higher and higher order exponents in this expression.

Show that if t = 2 then also t = 4.

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Vidi vici veni.

### #2 bonanova

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Posted 11 February 2014 - 08:06 PM

Make it easier: Solve for t.

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Vidi vici veni.

### #3 superprismatic

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Not just Prismatic

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Posted 12 February 2014 - 02:55 AM   Best Answer

Spoiler for lots of 'em

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### #4 bonanova

bonanova

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Posted 12 February 2014 - 05:46 AM

Spoiler for lots of 'em

Yeah... ... I was trying to revisit an older post of mine

But I couldn't find it (till just now) and did a bad job of describing the problem.

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Vidi vici veni.

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