2^(x-2)+2^(3-x)=3

lim_(x rarr0)((2^(x)+2^(2x)+2^(3x))/(3))^(1/x)

Lt_(x to 0) ((2^(x)+2^(2x)+2^(3x))/(3))^(1//x)=

1,1,1(2^(x)+2^(-x))^(2),(3^(x)+3^(-x))^(2),(5^(x)+5^(-x))^(2)(2^(x)-2^(-x))^(2),(3^(x)-3^(-x))^(2),(5^(x)-5^(-x))^(2)]|=

5(x-4)-2(3-2x)=4(x+2)-3(2-3x)

Find x , if (2^(x - 1) . 2^(4x + 2))/2^(3x - 3) = 64

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

|[1,1,1] , [(2^x+2^(-x))^2, (3^x+3^(-x))^2, (5^x+5^(-x))^2] , [(2^x-2^(-x))^2, (3^x-3^(-x))^2, (5^x-5^(-x))^2]|=

The value of |(1,1,1),((2^x+2^(-x))^2,(3^x+3^(-x))^2,(5^x+5^(-x))^2),((2^x-2^(-x))^2,(3^x-3^(-x))^2,(5^x-5^(-x))^2)| is :

If x+(1)/(x)=2 then (2x^(2)+2)/(3x^(2)+5x+3)