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The value of `5^((log)_(1/5)(1/2))+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1/2)1/(10+2sqrt(21))` is.........

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The value of `5^((log)_(1/5)(1/2))+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1/2)1/(10+2sqrt(21))` is.........
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`5^(log_(1//5)(1//2))+log_(sqrt2). 4/(sqrt7+sqrt3) + log_(1//2). 1/(10+2sqrt21)`
` = 2 + log_(2) (4/(sqrt7+sqrt3))^(2) (sqrt7+sqrt3)^(2)`
`= 2 + log_(2) 16 = 2 + 4 = 6`
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