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Suppose that b is a positive integer greater than or equal to 2.  When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?

tertre  Mar 15, 2017
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4+0 Answers

 #1
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is this aops?

Guest Mar 15, 2017
 #2
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+5

You will have more than one solution:

 

197 = 3011(base 4)

197 =1242(base 5)

Guest Mar 15, 2017
 #3
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No, it isn't. It can't be aops.

tertre  Mar 15, 2017
 #4
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heureka  Mar 16, 2017

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