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" implify "3root(3)(log(3)2)-2sqrt(log(2...

" implify "3root(3)(log_(3)2)-2sqrt(log_(2)3)

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Simplify ( i) 3^(sqrt(log_(3)(2)))-2sqrt(log_(2)(3))

log_(x)2x<=sqrt(log_(x)(2x^(3)))

If P =3^sqrt(log_(3)2)-2^(sqrt(log_(2)3))and Q=log_(2)log_(3)log_(2)log _(sqrt(3))81, then

If P =3^sqrt(log_(3)2)-2^(sqrt(log_(2)3))and Q=log_(2)log_(3)log_(2)log _(sqrt(3))81, then

(log_(3)243)/(log_(2)sqrt(32))

log_(3sqrt(2))324

log_(3sqrt(2))324

log_(3sqrt(2))324

If alpha, beta ar the roots of the quadratic equation x ^(2) -(3+ 2 ^(sqrt(log _(2)3))-3 ^(sqrt(log _(3)2)))x-2 (3 ^(log _(3)2)-2^(log _(z)3))=0, then the value of alpha ^(2) + alpha beta +beta^2 is equal to :

If alpha, beta ar the roots of the quadratic equation x ^(2) -(3+ 2 ^(sqrt(log _(2)3))-3 ^(sqrt(log _(3)2)))x-2 (3 ^(log _(3)2)-2^(log _(z)3))=0, then the value of alpha ^(2) + alpha beta +beta^2 is equal to :