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Exponentiation Equals Concatenation (Posted on 2020-11-14) Difficulty: 3 of 5
Solve ab = concatenate(a,b) or prove that there is no solution.

For example if 210 were equal to 210, this would be a solution.

No Solution Yet Submitted by Larry    
Rating: 3.0000 (2 votes)

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re: Narrowing the domain & range | Comment 2 of 4 |
(In reply to Narrowing the domain & range by Kenny M)

No proof offered, but just thinking about the remaining possibilities, the only one that I can imagine has a chance is when a is a rational number represented by a decimal with a finite number of digits (i.e. non-repeating decimal) and b is an integer.  I can't fathom how any other combination could result in an exact solution.
  Posted by Kenny M on 2020-11-18 05:52:16

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