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4^(5log4(sqrt2(3-sqrt6))-6log8(sqrt3-sqr...

`4^(5log_4(sqrt2(3-sqrt6))-6log_8(sqrt3-sqrt2))`

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Find the value of 4^(5log_(4sqrt2)(3-sqrt6)-6log_8(sqrt3-sqrt2)) .

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The value of 4^(5log_(4sqrt(2)(3-sqrt(6))-6log_(8)(sqrt(3)-sqrt(2)))) is

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4^(5 log_(4sqrt(2)) (3-sqrt(6)) - 6 log_8(sqrt(3)-sqrt(2)))

log_((5+2sqrt(6)))(5-2sqrt(6))

(3sqrt(2))/(sqrt(6)-sqrt(3))-(4sqrt(3))/(sqrt(6)-sqrt(2))-(6)/(sqrt(8)-sqrt(12))=? a.sqrt(3)-sqrt(2)b*sqrt(3)+sqrt(2)c.5sqrt(3)d.1