`log a/(y-z)=log b/(z-x)=logc/(x-y), then a^xb^yc^z` is equal to

loga/(y-z)=logb/(z-x)=logc/(x-y) then value of abc=

If (log x)/(y-z)=(logy)/(z-x) =(logz)/(x-y) , then prove that: x^x y^y z^z=1

If log(x+z)+log(x-2y+z)=2log(x-z)," then "x,y,z are in

If "log"_(y) x = "log"_(z)y = "log"_(x)z , then

STATEMENT-1 : If log (x + z) + log (x -2y +z) = 2 log (x -z) then x,y,z are in H.P. STATEMENT-2 : If p , q , r in AP and (a -x)/(px) = (a-y)/(qy) = (a-z)/(rz) , then x, y, z are in A.P. STATEMENT-3 : If (a + b)/(1 - ab), b, (b + c)/(1 - bc) are in A .P. then a, (1)/(b) , c are in H.P.

If (log_2x)/4=(log_2y)/6=(log_2z)/(3k) and x^3 y^2 z=1 , then k is equal to

If x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab , then (xyz)/(xy+yz+zx) is equal to

If x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab , then (xyz)/(xy+yz+zx) is equal to

If ("log"3)/(x-y) = ("log"5)/(y-z) = ("log" 7)/(z-x), " then " 3^(x+y) 5^(y+z) 7^(z+x) =

If |(x+y,y+z,z+x),(y+z, z+x,x+y),(z+x,x+y,y+z)| =k |(x,z,y),(y,x,z),(z,y,x)| , then k is equal to