The Napierian logarithm

The Napierian logarithm, also known as the natural logarithm, is a mathematical function that measures how many times you need to multiply the mathematical constant e (approximately 2.718) by itself to reach a certain number. For example, the natural logarithm of 7 is the power to which e must be raised to get 7. It’s widely used in science and engineering because it simplifies calculations involving exponential growth or decay, such as population increase, radioactive decay, and continuously compounded interest. Essentially, it helps us understand the relationship between exponential functions and their exponents in a natural, intuitive way.