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Someone showed me this problem today and I couldn't think of how to solve it:
x^x^x^x^x = 2
Anyone know how to solve it and if so can you explain how you get to your answer?
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Is that (((x^x)^x)^x)^x or x^(x^(x^(x^x)))?
I'm just asking that to stall for time, because I have no idea how to start trying to solve it. Probably using logs.
Why did the vector cross the road?
It wanted to be normal.
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That's exactly how it was written.
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Well then, you should exponentiate in this order I believe:
x^(x^(x^(x^x)))
In Excel (by trial and error) I get: 1.432694...
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
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Hmm. It's obvious that once it gets to 2 then it will stay there because (√2)² = 2, but that's not anywhere close to a proof.
Why did the vector cross the road?
It wanted to be normal.
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