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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?

 Mar 15, 2017
 #1
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0

is this aops?

 Mar 15, 2017
 #2
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+5

You will have more than one solution:

 

197 = 3011(base 4)

197 =1242(base 5)

 Mar 15, 2017
 #3
avatar+4622 
0

No, it isn't. It can't be aops.

 Mar 15, 2017
 #4
avatar+26387 
0
 Mar 16, 2017

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