The set of real values of `x` satisfying the inequality `log_(x+1/x)(log_2((x-1)/(x+2))) gt 0,` is equal to

The set of real values of x satisfying the inequality log _(x+(1)/(x))(log_(2)((x-1)/(x+2)))>0, is equal to

The set of real values of x satisfying the equation |x-1|^(log_3(x^2)-2log_x(9))=(x-1)^7

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

The set of values of x satisfying the inequality (1)/(log_(4)((x+1)/(x+2)))<=(1)/(log_(4)(x+3)) is

Number of real values of x satisfying the equation log_(x^(2)+6x+8)(log_(2x^(2)+2x+3)(x^(2)-2x))=0 is equal to

Absolute value of the difference between the greatest and smallest integral value of x ,satisfying the inequality ((log_(10)x-1))/((e^(x)-3))<=0 ,is equal to