| f * (x(y + z - x))/(log(x)) = (y(z + x - y))/(log(y)) = (x(x + y - z))/(log(z)) then prove that x . y ^ x = z ^ y ,y^ 2 =x^ 2 ,z^ 2 . Created by Jhoperocks.

(log(z)) then prove that x . y ^ x = z ^ y ,y^ 2 =x^ 2 ,z^ 2

August 2023 1 7 Report

| f * (x(y + z - x))/(log(x)) = (y(z + x - y))/(log(y)) = (x(x + y - z))/(log(z))
then prove that x . y ^ x = z ^ y ,y^ 2 =x^ 2 ,z^ 2

x(y+z−x)=logyy(z+x−y)=logzz(x+y−z)=k1

logx=k(xy+xz−x2)⋯(1)

logy=k(yz+xy−y2)⋯(2)

logz=k(zx+yz−z2)⋯(3)

(2)×x⟹xlogy=k(xyz+x2y−xy2)⋯(4)

(3)×y⟹ylogx=k(xy2+xyz−x2y)⋯(5)

(4)+(5)⟹ylogx+xlogy=2k(xyz)⟹logxyyx=2k(xyz)

Similarly logzyyz=2k(xyz),logxzzx=2