`x, y, z >0`, x,y,z can not be 1
`lnx + lny+ lnz = 0`. Then find the value of K = `x^((1/lny+1/lnz))`.`y^((1/lnx+1/lnz))`.`z^((1/lnx+1/lny))`

If x+1/y =1 and y + 1/z =1 then find the value of z + 1/x

x,y,z>0,x,y,z!=1,ln x+ln y+ln z=0 then find value of _( then find value of )+1,ln x+ln y+ln z=0k=x^((1)/(ln y)+(1)/(ln z))*y^((1)/(ln x)+(1)/(ln z))*z^((1)/(ln x)+(1)/(ln y))

Suppose x;y;zgt0 and are not equal to 1 and log x+log y+log z=0 . Find the value of x^(1/log y+1/log z)xx y^(1/log z+1/log x)xx z^(1/logx+1/logy) (base 10)

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-1)((y z+1)/(z y-z))+cot^(-1)((z x+1)/(z-x))