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ln x

Definition

The natural logarithm function, denoted as ln x, is the inverse of the exponential function e^x. It gives us the power we need to raise Euler's number (e) to obtain x.

Analogy

Imagine you have a superpower that can tell you how many times you need to multiply Euler's number (e) by itself to get a certain value. That superpower is called ln x!

Related terms

Logarithmic Function: A function that represents the exponent or power to which a base must be raised to obtain a given value.

Base e: Euler's number, approximately 2.71828, which serves as the base for natural logarithms.

Exponential Equations: Equations where variables appear in exponents, such as solving for x in equations like 2^x = 8.

"ln x" appears in:

Practice Questions (1)

  • What is the derivative of f(x) = ln x?


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© 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.