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Simplify (i) 3^(sqrt(log3(2))-2^(sqrt(lo...

Simplify (i) `3^(sqrt(log_3(2))`-`2^(sqrt(log_2(3)`

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

If alpha,beta are 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_(2)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 :

Simplify (sqrt(3)+2)(sqrt(3)-2)

The value of expression 3^sqrt(log_(27) 8)-2^sqrt(log_(32)243)-5^sqrt(log_(625) 81)+3^sqrt(log_9 25)+(sqrt2)^(log_2 9)+3^(log_4 25)-5^(log_4 9) , is less then

Product of all the solution of equation x^(log_(10)x)=(100+2^(sqrt(log_(2)3))-3^(sqrt(log_(3)2)))x is

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

Product of all the solution of equation x^(log_(10)x)=(100+2^(sqrt(log_(2)3))-3sqrt(log_(3)2))x is