Why the height of recursion tree is $\log_b n$?

1.6k Views Asked by At

I'm studying algorithm analysis by "Introduction to alogrithm".

What I'm learning is proof by recursion tree but I can't understand how can I calculate height of recursion tree.

So I searched stackoverflow and found the answer but there was no details.

How to determine the height of a recursion tree from a recurrence relation?

Can you explain why $\log_b n$ can be depth(height)?