Fiveable
Fiveable

Natural Logarithm

Definition

The natural logarithm, denoted as ln(x), is the inverse function of exponential growth. It represents the power to which the base (e) must be raised to obtain a given number (x).

Analogy

Think of the natural logarithm as a reverse growth calculator. Just like you can use an exponent to calculate how much something grows over time, the natural logarithm helps you figure out how much something has already grown.

Related terms

Exponential Growth: A mathematical model that describes rapid and continuous growth over time.

Base e: The base of the natural logarithm, approximately equal to 2.71828.

Logarithmic Scale: A scale that increases by powers of a fixed base, such as 10 or e.

"Natural Logarithm" appears in:

Subjects (1)



© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.


© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.