If `log_((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1` then x contains the interval

If log_(sqrt(5))(x)+log_(root(3)(5))(x)log_(root(4)(5))(x)+... up to 7 terms =35, then the value of x is

If 1,log_(3)sqrt(3^(1-x)+2),log_(3)(4*3^(x)-1) are in AP then x equals

Number of integers satisfying the inequality log_((x + 3)/(x - 3))4 lt 2 [log_(1/2)(x - 3)-log_(sqrt(2)/2)sqrt(x + 3)] is greater than

Solve: log_(3)(sqrt(x)+|sqrt(x)-1|)=log_(9)(4sqrt(x)-3+4|sqrt(x)-1|)

Solve :log_(3)(sqrt(x)+|sqrt(x)-1|)=log_(9)(4sqrt(x)-3+4|sqrt(x)-1|)

The range of the function f(x) = log_(sqrt5)(3 + cos ((3pi)/4 + x) + cos ((pi)/4 + x) + cos ((pi)/4 - x) - cos ((3pi)/4 - x)) is :

The range of the function f(x) = log_(sqrt5)(3 + cos ((3pi)/4 + x) + cos ((pi)/4 + x) + cos ((pi)/4 - x) - cos ((3pi)/4 - x)) is :

Find the solution of the inequality 2log_((1)/(4))(x+5)>(9)/(4)log_((1)/(3sqrt(3)))(9)+log_(sqrt(x+5))(2)