35. If a = b = c? and b> = ac, prove that y = 28% x+z

If a^(x)=b^(y)=c^(2) and b^(2)=ac, prove that y=(2xz)/(x+z)

If a^x=b^y=c^z\ a n d\ b^2=a c , prove that y=(2x z)/(x+z)

If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

If a^(x)=b,b^(y)=c and c^(z)=a, prove that xyz=1

If x+z = 2y " and " b^2 = ac , then prove that a^(y-z)*b^(z-x)*c^(x-y) =1 .

If x^(a) = y^(b) = z^ (c ) and y^(2) = xz, prove that b= ( 2ac)/( a+c)

If a^(x)=b^(y)=c^(z) and b^(2)=ac prove that (1)/(x)+(1)/(z)=(2)/(y)

If x : a = y : b = z : c , then prove that (a^(2) + b^(2) + c^(2))(x^(2) + y^(2) + z^(2)) = (ax + by + cz)^(2)

If a^(x)=b^(y)=c^(z) and b^(2)=ac, then show that y=(2zx)/(z+x)