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What is the value of `log_(2)(log_(3)81)`?A. 2B. 3C. 4D. 9

Answer» Correct Answer - A
Let `log_(2)(log_(3)81)=x`
`implieslog_(2)(log_(3)3^(4))=x`
`implies log_(2)(4log_(3)3)=x`
`implieslog_(2)(4)=x" "(becauselog_(a)a=1)`
`implies 4=2^(x)`
`implies2^(2)=2^(x)impliesx=2`


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