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Mathematics
Mathematics
Problem
The integer
4096
4096
4096
can be written in the form
b
k
b^k
b
k
for several integer bases
b
>
1
b>1
b
>
1
. For which base
b
b
b
does
k
k
k
have the smallest positive integer value? a)
2
2
2
b)
8
8
8
c)
16
16
16
d)
4
4
4
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