Let `x=2 or x=3` satisfy the equation, `log_4(x^2+bx+c)=1.` Then find the value of `|bc|.`

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)be pi If x satisfies the equation ax^(3)+bx^(2)+cx-c_(1)=0, then the value of (b-a-c) is

If one root of the equation x^2+bx+8=0 be 4 and the roots of the equation x^2+bx+c=0 are equal , find the value of c.

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)" be "pi . If x satisfies the equation ax^(3)+bx^(2)+cx-1=0 then the value of (b-a-c) is

The value of x satisfying the equation 2log_(3)x+8=3.x log_(9)4

If x=alpha satisfies the equation log_(6)(2^(x+3))-log_(6)(3^(x)-2)=x, then find the value of 3^(alpha)

The real number x_1,x_2,x_3 satisfying the equation x^3-x^2+bx+c=0 are in AP . Find the intervals in which b and c lie.

If sum of the integral values of x satisfying the equation |x-1|^(log^(2)x-1log^(2))=|x-1|^(3) is N, then find characteristic of logarithm of N to the base 5.

Value of x satisfying the equation (log_(5)(x))^(2)+log_(5x)((5)/(x))=1 are