`log_(x^2)((4x-5)/(|x-2|))geq-1/2`

log_(2)(x^(2)-4x+5)=(x-2)

log_(1/4)((35-x^2)/x)geq-1/2

Solve the equation,log_(x^(2)+4x+5){log_(3x^(2)+4x+5)(x^(2)-3x)}=0

solve the equation x^((3)/(4)(log_(2)x)^(2)+log_(2)x-(5)/(4))=sqrt(2)

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

If (log_(2)(4x^(2)-x-1))/(log_(2)(x^(2)+1))>1, then x may be

If log_(x)(4x^(log_(5)(x))+5)=2log_(5)x, then x equals to

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

For x>=0, the smallest possible value of the expression,log_(2)(x^(3)-4x^(2)+x+26)-log_(2)(x+2) is ( A ) 1(B) 2(C)5(D) None of these

The equation x^(3/4(log_(2)x)^(2)+log_(2)x-5/4)=sqrt(2) has