`1/(log_x xy)+1/(log_y x y)`

Suppose x;y;z>0 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(1)/(log x)+(1)/(log y) (base 10)

1/(log_(xy)x + log_(xy)y = _______ ?

Suppose x,y,z=0 and are not equal to 1 and log x+log y+log z=0. Find the value of (1)/(x^(log y))+(1)/(log z)quad (1)/(y^(log z))+(1)/(log x)quad (1)/(z^(log x))+(1)/(log y)

What are the solution of the equation log_x xy xx log_y xy + log_x(x-y)xxlog_y(x-y)=0

Properties of logarithmic function Property (1) log_a 1=0 (2) log_a a=1 (3) log_a (xy)=log_a|x|+log_a|y| (4) log_a(x/y)=log_a |x|-log_a |y|

If log((x-y)/(5))=(1)/(2)log x+(1)/(2)log y, show that x^(2)+y^(2)=27xy

Using properties of determinant show that |(1,log_x y,log_x z),(log_y x,1,log_y z),(log_z x,log_z y,1)|=0

What is the value of abs((1,log_x y, log_x z),(log_y x,1,log_y z),(log_z x,log_z y, 1)) ?