If x,y,z are in HP, then `log(x+z)+log (x-2y+z)` is equal to

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 show that log x,log y,log z are in A.P. (x>0,y>0,z>0) .

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 H.P then the value of expression log(x+z)+log(x-2y+z)=

If u = log (x^(3) + y^(3) + z^(3) - 3xyz) , then (x + y + z)(u_(x) + u_(y) + u_(z)) is equal to

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) .