SOLUTION: is the set of irrational numbers closed under exponentation?

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Question 154446: is the set of irrational numbers closed under exponentation?
Answer by Edwin McCravy(20054) About Me  (Show Source):
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is the set of irrational numbers closed under exponentation?

No.  For instance,

e and ln%282%29 are both irrational.

However,

e%5Eln%282%29=2 is true yet 2 is rational.

Edwin