If `2^(2x-1)=(1)/(8^(x-3))`,then the value of x is
A) -2
B) 0
C) 2
D) 3

If y=3^(x-1)+3^(-x-1) , then the least value of y is (a) 2 (b) 6 (c) 2//3 (d) 3//2

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a) 3 b. 2 c. 1 d. -2

If x=(7+5sqrt(2))^(1/3)-1/((7+5sqrt(2))^(1/3)) , then the value of x^3+3x-14 is equal to 1 b. 0 c. 2 d. 4

If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is (a) 0 (b) 2 (c) 1 (d) 3

If x^2+x+1 is a factor of the polynomial 3x^3+8x^2+8x+3+5k , then the value of k is (a) 0 (b) 2/5 (c) 5/2 (d) -1

If int(x+1)/(x^2+x+3)dx=a ln|x^2+x+3|+1/(sqrt(b))tan^(-1)((c x+d)/(sqrt(11)))+k , then the value of 2a+b+c+d is 15 b. 26 c. (29)/2 d. 13

If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is continuous at x=0 , then the value of a/b is (A) 3/5f(0) (B) 2^(8/5)f(0) (C) (64)/5f(0) (D) none of these

If (2x^(3)+1)/((x-1)(x+1)(x+2))=A+(B)/(x-1)+(C)/(x+1)+(D)/(x+2) , then find the value of A+B+C+D .

If 2x=-1+sqrt(3)i , then the value of (1-x^2+x)^6-(1-x+x^2)^6 is 32 (b) -64 (c) 64 (d) 0