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Find the domain of definition of the fol...

Find the domain of definition of the following `f(x)` given by `f(x)=log_4{(log_(5)log_3(18 x-x^2-77)}`

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Verified by Experts

We know that for domain in `logx` x>0
So,let `18x−x^2−77=A ,`
` log_3​(18x−x^2−77)=B `
` log_5​(log_3(18x−x^2−77))=C`
Thus, we need that `A>0 ,B>0 , C>0`
For `A`
`18x−x^2−77>0`
`xϵ(7,11)`
...
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