Logarithms

Section: Mathematics
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Question : 6 of 9
 
Marks: +1, -0
Let
S={α:log2(92α−4+13)−log2(‌
5
2
⋅32α−4
+1
)
=2
}
‌.
‌

Then the maximum value of β for which the equation x2−2(
∑
α∈s
α
)
2
x
+
∑
α∈s
(α+1)2β
=0
has real roots, is ______.
[25-Jan-2023 Shift 1]
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