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Mathematics 15 Online
OpenStudy (anonymous):

If the numbers 2^n and 5^n (where n is a positive integer) start with the same digit, what is this digit? The numbers are written in decimal notation, with no leading zeroes.

jimthompson5910 (jim_thompson5910):

Just by guessing and checking, I found that 2^5 = 32 and 5^5 = 3125.

OpenStudy (anonymous):

Oh alright. I didn't realize that I could just guess and check. Thank you :)

jimthompson5910 (jim_thompson5910):

Yeah I'm not sure of any formal or rigorous way to do this.

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