" 45.If "5^(x)=3^(y)=45^(x)," prove that "(1)/(z)=(1)/(x)+(2)/(y)

If 5^(x)=3^(y)=45^(z), prove that (1)/(z)=(1)/(x)+(2)/(y)

5^(x)=3^(y)=15^(z), Prove that (1)/(z)=(1)/(x)+(1)/(y)

If 2^(x)=3^(y)=6^(-z) prove that (1)/(x)+(1)/(y)+(1)/(z)=0

If 3^(x)=5^(y)=45^(z), then a.(2)/(z)=(1)/(y)-(1)/(x)b(2)/(y)=(1)/(x)-(1)/(z)c*(2)/(x)=(1)/(z)-(1)/(y)dx+y+z=0

If 2^x=3^y=6^(-z) prove that 1/x+1/y+1/z=0

If x^(2)+y^(2)=z^(2) , then prove that 1/(log_(z-y)x) + 1/(log_(z+y)x) = 2 .

If x+y+z=xzy , prove that : (2x)/(1-x^2) + (2y)/(1-y^2) + (2z)/(1-z^2) = (2x)/(1-x^2) (2y)/(1-y^2) (2z)/(1-z^2)

If x +y+ z=xyz , prove that : (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)= (2x)/(1-x^2). (2y)/ (1-y^2). (2z)/(1-z^2) .

If x+y+z=xyz , prove that x/(1-x^2)+ y/(1-y^2)+z/(1-z^2) =(4xyz)/((1-x^2)(1-y^2)(1-z^2))

If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/(1-x^2)(2y)/(1-y^2)(2z)/(1-z^2)dot