Can you define the function?

Algebra Level 4

y=log⁡7−a(2x2+2x+a+3)\large y=\log _{ 7-a }{ (2{ x }^{ 2 }+2x+a+3) }

If yy above is defined for all real xx , then find the number of possible integral values of a a .

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Yash Choudhary by Yash Choudhary
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