Number of integers for which `f(x)=sqrt(1/(log_(3x-2)(2x+3))-log_(2x+3)(x^2-x+1))` equal to (A)` 1` (B) `2` (C) `3` (D) `4 `

f(x)=sqrt(log((3x-x^(2))/(x-1)))

f(x)=sqrt(log((3x-x^(2))/(x-1)))

f(x)=sqrt(log((3x-x^(2))/(x-1)))

The number of integers in the domain of f(x)=sqrt(log_(2)(log_(3)(log_((1)/(4))x))) is

Sum of integers satisfying sqrt(log_(2)x-1)-(1)/(2)log_(2)(x^(3))+2>0 is

[" Number of integers in the domain "],[" of real valued function "],[f(x)=sqrt((1)/(log_((3x-2))(2x+3))-log_((2x+3))(x^(2)-x+1))],[" is equal to- "]

Number of integral solutions of the equation log_(x-3)(log_(2x^(2)-2x+3)(x^(2)+2x))=0 is 4(b)2 (c) 1(d)0

If log_(2)[log_(3)(log_(2)x)]=1 , then x is equal to

Sum of integers satisfying sqrt((log)_2x-1)-1/2(log)_2(x^3)+2>0 is......

Sum of integers satisfying sqrt((log)_2x-1)-1/2(log)_2(x^3)+2>0 is......