x^((log_(sqrt(x))2x))=4

Solve: 1/4x^(log_2sqrt(x))=(2. x^((log)_2x))^(1/4)

" If ||log_(3)x|-1|^(log_(3)^(2)x+3)=||log_(3)x|-1|^(log_(sqrt(7))x^(4)-4 ) then "

Find the value of x satisfying the equation,sqrt((log_(3)3sqrt(3)x+log_(x)3sqrt(3)x)*log_(3)x^(3))+sqrt(((log_(3)(3sqrt(x)))/(3)+(log_(x)(3sqrt(x)))/(3))*log_(3)x^(3))=2

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

log_(4)(x^(2)-1)-log_(4)(x-1)^(2)=log_(4)sqrt((4-x)^(2))

(1+log_(2)(x-4))/(log_(sqrt(2))(sqrt(x+3)-sqrt(x-3)))=1

Find the number of integers satisfying the inequality 1sqrt(log_((1)/(2))^(2)x+4log_(2)sqrt(x))

solve for x if log_(4)log_(3)log_(2)x=0 and log_(e)log_(5)(sqrt(2x+2)-3)=0