In order to find the recurrence function of The Height in Heap, the following figure is drawn.Question 1: How can we compute the height if Right subtree in form of Log in base 3, and why do we have the height of Left subtree as log in base 3/2?Question 2: it is stated that:for a complete binary tree to have the maximum height the last level should be half full.i don't grasp the logic behind this line.why? 
The Height of subtree in Heap
data structures;binary trees;discrete mathematics;heaps