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Find the value of log(1//3)root(4)(729...

Find the value of `log_(1//3)root(4)(729*root(3)(9^(-1)*27^(-4//3)))`.

Text Solution

Verified by Experts

The correct Answer is:
-1
`log_(1//3) root(4)(729 xxroot(3)(9^(-1)xx27^(-4//3)))`
` = log_(1//3)root(4)(729 xxroot(3)(3^(-2)xx3^(-4)))`
` = log_(1//3) root(4)(3^(6)xx3^(-2))`
` = log_(1//3) 3`
` =-1`
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