Evaluate for x :

`4^( x - 1 ) = 2^( x - 5 )`

Find the value of x : 2(x-1) - 3( x -3 ) = 5 ( x -5 ) - 4 ( x - 8 )

Evaluate : int ( ( 5x + 1 )/( x^2 + 4 ) ) dx

Evaluate : x + 1/x= 4 , x^2 + 1/x^2

Evaluate : 3/5 x + 2/3 x + ( -4/5 ) x

Find the value of x : |(2,4),(5,1)| = |(2x,4),(6,x)|

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

Evaluate: int(1)/(x^(2)+4x-5)dx

(b) Find the square root of 4x^(4) - 4x^(3) + 5x^(2) -2x +1

Evaluate: lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16) .