bonanova Posted February 11, 2014 Report Share Posted February 11, 2014 With a nod to 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. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted February 11, 2014 Author Report Share Posted February 11, 2014 Make it easier: Solve for t. Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted February 12, 2014 Report Share Posted February 12, 2014 Any t such that 0 ≤ t ≤ e Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted February 12, 2014 Author Report Share Posted February 12, 2014 Any t such that 0 ≤ t ≤ e Yeah... ... I was trying to revisit an But I couldn't find it (till just now) and did a bad job of describing the problem. Quote Link to comment Share on other sites More sharing options...
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bonanova
With a nod to 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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