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Some Factorials Equal Score Exponent (Posted on 2024-04-04) Difficulty: 3 of 5
Find all possible values of a real number r such that:
r! = r20

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Some Thoughts Summary of solutions Comment 3 of 3 |
Summary:

r=1 and r =~ 27.5247695102146 are the only positive values.

Negative values are very near integers -2, -3, -4, etc., with the one near -2 being approximately -2.00000095366484. The nearness to the integer values becoming closer as you get negatives of higher absolute value.

  Posted by Charlie on 2024-04-04 21:23:00
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