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A Power of an Integer Beginning with an Arbitrary Sequence (Posted on 2008-01-31) Difficulty: 4 of 5
L is any integer other than a power of 10. M is any integer. Show that there is an integral power of L that begins with the sequence of digits given in M.

See The Solution Submitted by FrankM    
Rating: 3.8000 (5 votes)

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Some Thoughts A possible exception... | Comment 1 of 6

If we exclude leading zeroes, then the integer L, where L = 0, will have no integral power that begins with the sequence of digits given in M, such that M is any non-zero integer or 1.

All integral powers of 0, except where the exponent is itself 0, are 0. 00, according to some is an "indeterminate form," but by others, it is, by convention, equal to 1.


  Posted by Dej Mar on 2008-01-31 12:55:15
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