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Problem
Problem
In the inequality
(
log
2
x
)
4
−
(
log
1
/
2
(
x
5
4
)
)
2
−
20
log
2
x
+
148
<
0
(\log_2 x)^4 - \left(\log_{1/2}\left(\frac{x^5}{4}\right)\right)^2 - 20 \log_2 x + 148 < 0
(
lo
g
2
x
)
4
−
(
lo
g
1/2
(
4
x
5
)
)
2
−
20
lo
g
2
x
+
148
<
0
holds true in
(
a
,
b
)
(a, b)
(
a
,
b
)
, where
a
,
b
∈
N
a, b \in \mathbb{N}
a
,
b
∈
N
. Find the value of
a
b
(
a
+
b
)
ab(a+b)
ab
(
a
+
b
)
.
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