Take a variable xand raise it to the xth power: xx; call the result y.
Now raise x to the y power: xy; call that result y. i.e. replace the previous value of y with the value of xy.
Again, raise x to the y power: xy; and replace the previous value of y with the value of xy.
Repeat this an arbitrarily large number of times, and set the result equal to 2.
That creates the infinite exponential sequence
x to the x to the x to the x to the x to the x .... = 2.
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bonanova
Take a variable x and raise it to the xth power: xx; call the result y.
Now raise x to the y power: xy; call that result y. i.e. replace the previous value of y with the value of xy.
Again, raise x to the y power: xy; and replace the previous value of y with the value of xy.
Repeat this an arbitrarily large number of times, and set the result equal to 2.
That creates the infinite exponential sequence
x to the x to the x to the x to the x to the x .... = 2.
What value of x, if any, satisfies the equation?
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