If `log_(x -3) (2x - 3)` is a meaningful quantity then find the interval in which x must lie.

If sin^2theta=x^2-3x+3 is meaningful, then find the values of x.

If log_(2)(x-2)ltlog_(4)(x-2) ,, find the interval in which x lies.

If log_(0.3) (x - 1) lt log_(0.09) (x - 1) , then x lies in the interval

If (log_((1)/(3)))(3x-1)/(x+2) is less than unity,then x must lie in the interval:

Let g(x)=f(log x)+f(2-log x) and f'(x)<0AA x in(0,3) Then find the interval in which g(x) increases.

If log_(cos x)sin x>=2 and x in[0,3 pi] then sin x lies in the interval

If ln^(2)x+3lnx-4 is non negative, then x must lie in the interval :

The real number x_1,x_2,x_3 satisfying the equation x^3-x^2+bx+c=0 are in AP . Find the intervals in which b and c lie.

If log_(2) x xx log_(3) x = log_(2) x + log_(3) x , then find x .