If `log_(0.5)(x-2)ltlog_(0.25)(x-2)`then x lies is the interval (A) `(-3,-2)` (B) (2,3)` (C) `(3,oo)` (D) none of these

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

If a!=0 and log_x (a^2+1)lt0 then x lies in the interval (A) (0,oo) (B) (0,1) (C) (0,a) (D) none of these

If (log)_(0. 3)(x-1)<(log)_(0. 09)(x-1), then x lies in the interval (2,oo) (b) (1,2) (-2,-1) (d) None of these

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

int_2^4 log[x]dx is (A) log2 (B) log3 (C) log5 (D) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

One root of the equation cos x-x+1/2=0 lies in the interval (A) [0,pi/2] (B) [-pi/2,0] (C) [pi/2,0] (D) none

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

If the point (2,k) lies outside the circles x^2+y^2+x-2y-14=0a n dx^2+y^2=13" then k" lies in the interval (a) (-3,-2)uu(3,4) (b) (-3,4) (c) (-oo,-3)uu(4,oo) (d) (-oo-2)uu(3,oo)

The domain of the function f(x)=sqrt(log_((|x|-1))(x^2+4x+4)) is (a) (-3,-1)uu(1,2) (b) (-2,-1)uu(2,oo) (c) (-oo,-3)uu(-2,-1)uu(2,oo) (d)none of these