If 3x = 9y = 81z and xyz = 1728, then find the value of y.

10 18 6 12

12

(3)x = ((3)2)y = ((3)⁴)z 3x = 32y = 34z So, in this condition, if base is same, then power will be equal x = 2y = 4z x = 4R     y = 2R      z = R          Now, xyz = 1728 4R×2R×R = 1728 8R3 = 1728 R3 = 216 R = 6 y =2×6 = 12