if `log_ x-log_a y=a ,log_a y-log_a z=b,log_a z-log_a x=c` then

log_(e)x-log_(e)y=a,log_(e)y-log_(e)z=b&log_(e)z-log_(e)x=c, then find the value of ((x)/(y))^(b-c)*((y)/(z))^(c-a)*((z)/(x))^(a-b)=?

If x = log_(c ) b + log_(b)c , y=log_(a)c + log_(c ) a, z=log_(b)a+log_(a)b , then show that x^(2) + y^(2) + z^(2) - 4 = xyz .

Solve for x, y , z . log_2 x + log_4 y + log_4 z =2 log_3 y + log_9 z + log_9 x =2 log_4 z + log_16 x + log_16 y =2

If x = log_(c) b + log_(b) c, y = log_(a) c + log_(c) a, z = log_(b) a + log_(a) b, then x^(2) + y^(2) + z^(2) - 4 =

If x=log_(b)a,y=log_(c)b,z=log_(a)c then xyz=

Solve the system of equations: (log)_a x(log)_a(x y z)=48, (log)_a y log_a(x y z)=12 , a >0,\ a!=1(log)_a z log_a(x y z)=84\