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If sqrt(sqrt(sqrt(x)))=x^4+4 4 4 4, then...

If `sqrt(sqrt(sqrt(x)))=x^4+4 4 4 4,` then the value of `x^4` is____.

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Verified by Experts

The correct Answer is:
4
`x^(1//8)=(3x^(4)+4)^(1//64)`
`impliesx^(8)=3x^(4)+4`
`impliesx^(4)=4`
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