The value of `x` which satisfies the equation `(342)^-3=(root(4)(7^(112//x))/(root(9)(49^(45//x))))^-1`

Find the value of x satisfying the equation ((log)_3 root(3)(3x)+(log)_x root(3)(3x))dot(log)_3x^3+((log)_3 root(3)(x/3)+(log)_xroot(3)(3/x))dot(log)_3x^3=2

(root3(x)*root6(x))/(root4(x^3)*root9(x^6))

Solve the equation : root(5)([3/(x+1)+7/(x+2)])lt root(5)(6/(x-1))

Let sum of the real values of 'x' satisfying the equation root4(|x-3|^(x+2))=root 3(|x-3|^(x-1)) is k,then which of the following true ?

Sum of all possible values of 'x' which satisfy the equation log_(3)(x – 3) = log_(9)(x – 1) is :

The value of a for which the equation x^(3)+ax+1=0 and x^(4)+ax+1=0 have a common root,is