The number of integral values of `x` satisfying the inequality `(3/4)^(6x+10-x^2)<(27)/(64)` is _____

Find the number of positive integral value of x satisfying the inequality ((3^(x)-5^(x))(x-2))/((x^(2)+5x+2))ge0

If number of integral values of x satisfying the inequality ((x)/(100))^(7logx-log^(2)x-6)ge10^(12) are alpha then

The number of negative integral values of x satisfying the inequality log_((x+(5)/(2)))((x-5)/(2x-3))^(2)lt 0 is :

The number of integral values of x satisfying the equation |x-|x-4||=4 is

Number of intergral value of x satisfying the inequality (x^(2) + 6x - 7)/(|x + 4|) lt 0 is :

Number of intergal values of x satisfying the inequality (x^2+6x-7)/(|x+2||x+3|) lt 0 is

The number of integral value(s) of x satisfying the equation |x^4 .3^(|x-2|). 5^(x-1)|=-x^4 .3^(|x-2|). 5^(x-1) is

The number of integers satisfying the inequality is x/(x+6)<=1/x

Sum of all integral values of x satisfying the inequality (3^((5/2)log(12-3x)))-(3^(log x))>32 is......

Sum of integral values of x satisfying the inequality 3^((5/2)log_3(12-3x))-3^(log_2(x))>32