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?
is this aops?
You will have more than one solution:
197 = 3011(base 4)
197 =1242(base 5)
No, it isn't. It can't be aops.
The same question:
see: http://web2.0calc.com/questions/basemath#r1
+4609 
