Properties of Exponential and Logarithmic Functions

Exponential functions have a rate of change that is proportional to the current value, leading to continuous growth or decay.

The natural logarithm function $\ln(x)$ is the inverse of the exponential function $e^x$.

The function $y=e^x$ is one-to-one, and therefore its inverse function is not defined.

Exponential functions are often used to model situations in which change occurs continuously at a rate proportional to the current amount.