In general, a balanced n-ary tree with m elements will have height log_nm.

Question

Quizplus · Accepted Answer

The height of a balanced n-ary tree (where each node can have up to n children) with m elements is indeed given by the logarithm base n of m, denoted as log base n of m. This is because, in a perfectly balanced scenario, each level of the tree fully utilizes all n possible children before adding a new level, leading to a height that grows logarithmically with the number of elements.

In General, a Balanced N-Ary Tree with M Elements Will