`log_(4)(log_(2)x)+log_(2)(log_(4)x)=2`

The value of x :satisfying the equation log_(4)(2log_(2)x)+log_(2)(2log_(4)x)=2 is

log_(2)log_(3)log_(4)(x-1)>0

(log_(2)x)^(2)+4(log_(2)x)-1=0

The sum of solutions of the equation log_(2)x log_(4)x log_(6)x=log_(2)x*log_(4)x+log_(4)x log_(6)x+log_(6)x*log_(2)x is equal to

Domain of the function f(x)=log_(2)(log_(4)(log_(2)(log_(3)(x^(2)+4x-23))) is

If log_(2)(log_(3)(log_(4)(x)))=0 and log_(3)(log_(4)(log_(2)(y)))=0 and log_(4)(log_(2)(log_(2)(z)))=0 then the sum of x,y and z is _(-)

If log_(2)(log_(4)(x))) = 0, log_(3)(log_(4)(log_(2)(y))) = 0 and log_(4)(log_(2)(log_(3)(z))) = 0 then the sum of x,y and z is-

If log_(2)(log_(4)(x))) = 0, log_(3)(log_(4)(log_(2)(y))) = 0 and log_(4)(log_(2)(log_(3)(z))) = 0 then the sum of x,y and z is-

If log_(2)(log_(4)(x))) = 0, log_(3)(log_(4)(log_(2)(y))) = 0 and log_(4)(log_(2)(log_(3)(z))) = 0 then the sum of x,y and z is-

The expression: (((x^(2)+3x+2)/(x+2))+3x-(x(x^(3)+1))/((x+1)(x^(2)+1))-log_(2)8)/((x-1)(log_(2)3)(log_(3)4)(log_(4)5)(log_(5)2)) reduces to