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Problem
Problem
Let
log
a
N
=
α
+
β
\log_a N = \alpha + \beta
lo
g
a
N
=
α
+
β
where
α
\alpha
α
is integer and
β
∈
[
0
,
1
)
\beta \in [0, 1)
β
∈
[
0
,
1
)
. Then, On the basis of above information, answer the following questions. The difference of largest and smallest integral value of
N
N
N
satisfying
α
=
3
\alpha = 3
α
=
3
and
a
=
5
a = 5
a
=
5
, is a. 499 b. 500 c. 501 d. 502
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