Interactive Exponents, Logarithms, and Trees

This interactive demonstrates the basic properties of exponential growth using the structure of a tree. The base of the exponent corresponds to the number of branches that sprout at each intersection or “branching factor” of the tree. The exponent corresponds to the number of levels in the tree. This is expressed mathematically as some number b (base) raised to the y power (exponent).

The inverse operation, taking the logarithm of a number, is also demonstrated:

Note: The branching factor, b, is often referred to as the base of the logarithm or exponent.