Home
Class 12
MATHS
If S={x:sqrt(logxsqrt(3x)), where log3xg...

If `S={x:sqrt(log_xsqrt(3x))`, where `log_3xgt-1}`, then

A

S is a finite set

B

S is an empty set

C

`Ssubset(0,infty)`

D

S properly contains `(1/3,infty)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

If cosh ^(-1) x=log (2+sqrt(3)) then x=

Number of integral solution of the equation log_(sin x) sqrt(sin^(2)x)+ log_(cos x)sqrt( cos^(2)x)= , where x in [0,6pi] is

If xgt2 is a solution of the equation |log_sqrt3x-2|+|log_3x-2|=2 , then the value of x is

If x satisfies log_2(9^(x-1)+7)=2+log_2(3^(x-1)+1) , then

If y=log(sqrt(x)+sqrt(x-a)) , then (dy)/(dx) is :

If y = log (x + sqrt(x^(2)+1) then dy/dx =

If x_1,x_2 & x_3 are the three real solutions of the equation x^(log_10^2 x+log_10 x^3+3)=2/((1/(sqrt(x+1)-1))-(1/(sqrt(x+1)+1))), where x_1 > x_2 > x_3, then these are in

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

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

Find the number of solution of theta in [0,2pi] satisfying the equation (log)_(sqrt(3))tanthetasqrt((log)_(tantheta)3+(log)_(sqrt(3))3sqrt(3)) =-1