If `x,y,z` are in H.P then the value of expression `log(x+z)+log(x-2y+z)=`

If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)

If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)

(i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the value of (1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3) . If a, x, y, z b are in HP, then find a and b (ii) If x,y,z are in HP, then show that log (x +z) + log (x +z -2y) = 2 log ( x -z) .

(i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the value of (1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3) . If a, x, y, z b are in HP, then find a and b (ii) If x,y,z are in HP, then show that log (x +z) + log (x +z -2y) = 2 log ( x -z) .

If x,y,z are in G.P. then log x , log y, logz, are in

If x, y and z be greater than 1, then the value of |(1,log_(x)y,log_(x)z),(log_(y)x,1,log_(y)z),(log_(z)x,log_(z)y,1)| is

If x , y and z be greater than 1, then the value of |{:(1, log_(x)y, log_(x) z),(log_(y)x , 1 ,log_(y)z),(log_(z)x , log_z y , 1 ):}| =

If x,y,z are in G.P then show that log_a x+log_a z=2/(log_y a),(x>0,y>0,z>0) .