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2023-24 IOQM India
2
IOQM 2023-24 P-2
IOQM 2023-24 P-2
Source:
September 3, 2023
Problem Statement
Find the number of elements in the set
{
(
a
,
b
)
∈
N
:
2
≤
a
,
b
≤
2023
,
log
a
(
b
)
+
6
log
b
(
a
)
=
5
}
\left\{(a, b) \in \mathbb{N}: 2 \leq a, b \leq 2023, \log _a(b)+6 \log _b(a)=5\right\}
{
(
a
,
b
)
∈
N
:
2
≤
a
,
b
≤
2023
,
lo
g
a
(
b
)
+
6
lo
g
b
(
a
)
=
5
}
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