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Thirteenth power (Posted on 2013-01-12) Difficulty: 4 of 5
The number 21982145917308330487013369 is the thirteenth power of a natural number. Find the number using just pen and paper.

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts re: why d1 .?...spoiler | Comment 3 of 7 |
(In reply to why d1 .?...spoiler by Ady TZIDON)

Well dixi maybe, but this has been a UC Berkeley problem before (in the early 80s). It may be that Sengupta's method is canonical. I don't know much about logs and slide rules, but it is a fact that log(10) 89 is 1.94939000... and I suspected that this might have something to do with why 89 was chosen.

Edited on January 12, 2013, 12:52 pm
  Posted by broll on 2013-01-12 12:44:01

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