+0  
 
0
302
4
avatar+2765 

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
 #1
avatar
0

is this aops?

Guest Mar 15, 2017
 #2
avatar
+5

You will have more than one solution:

 

197 = 3011(base 4)

197 =1242(base 5)

Guest Mar 15, 2017
 #3
avatar+2765 
0

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

tertre  Mar 15, 2017
 #4
avatar+19653 
0
heureka  Mar 16, 2017

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