The number of integral values in the solution set of inequality, `log_(x+3) (x^2-x) < 1` is

If lamda_(1) is the product of values of x satisfy the equation (x)^(log_(3)x)=(x^(9))/((3)^(20)) and lamda_(2) is the number of integers in the solution set of the inequality log_(x)(4x-3)ge2 , the ((lamda_1)/2187+lamda_(2)) equals

Solution set of inequality log_(10)(x^(2)-2x-2)lt=0 is

The number of integral values in the solution set ofthe inequation |x-1|+|x-2|+|x-3|<0 is

The solution set of the inequality log_(sin(pi/3)(x^2-3x+2)geq2 is

The solution of the inequality log_(x)(4x^(2)-1)<2, is

The solution set of the inequality log_(5/8)(2x^(2)-x-3/8) ge1 is-

The solution set of the inequality log_(5/8)(2x^(2)-x-3/8) ge1 is-