Natural Log

What is Natural Log in Maths?

Natural Log in mathematics is the way of representing exponents. It is log of a number with base ‘e’. It is represented by symbol ‘ln’. Suppose we are given an exponent,

y = ex

Then in exponent form it is represented as,

ln (y) = x

What is Natural Log of 2?

Natutal log of 2 or ln (2) is equal to 0.69314, i.e.

ln (2) = 0.69314

What is Natural Log of 1?

Natutal log of 1 or ln (1) is equal to 0, i.e.

ln (1) = 0

How is Natural Log of x Represented?

Natural log of x is represented as ln (x)

What is Natural log of Infinity?

Natutal log of ∞ or ln (∞) is equal to 1, i.e.

ln (∞) = ∞

What is Natural Log Derivative?

Natural log derivative is represented d/dx {ln (x)} as,

d/dx {ln (x)} = 1/x

What is Natural Log Integration?

Natural log integration is represented ∫{ln (x)} as,

∫ {ln (x)} dx = x·ln(x) – x + C

What is Natural Log of e?

Natutal log of e or ln (e) is equal to 1, i.e.

ln (e) = 1

What is Natural Log base?

The base of ntural log is ‘e’ or Euler Numbers. ‘e’ is a irrational number and its value is ‘e = 2.718’



Natural Log

Natural Log in mathematics is a way of representing the exponents. We know that a logarithm is always defined with abase and for the natural log, the base is “e”. The natural log is used for solving various problems of Integration, Differentiation, and others.

In this article, we will learn about Natural log, Natural Log Formula, Examples, and others in detail.

Table of Content

  • What is Natural Log?
  • Natural Log Formula
  • Natural Logarithms Table
  • Natural Log Derivatrive
  • Natural Log Integration
  • Natural Lag Laws

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What is Natural Log?

Natural log is the log of a number with base “e” where ‘e’ is Euler number and its value is 2.718 (approximately). The natural log is defined by the symbol ‘ln’. The natural log formula is given as, suppose, ex = a then loge = a, and vice versa. Here loge is also called a natural log i.e., log with base e. The natural log is always represented by the symbol “ln”. Thus, ln x = loge x....

Natural Log Formula

Natural log of a number is the other of representing a number. Various natural log formulas are,...

Natural Logarithms Table

Natural log of any number is the log with base e. The natural log of various number are added in the table below,...

Difference Between Log and Ln

Difference between Log and Ln is added in the table given below,...

Natural Log Derivatrive

Natural log derivative is the derivative of ln x. The derivative of ln x is x. i.e....

Natural Log Integration

Natural log integration is the integration of ∫ ln(x) dx. Integration of ln (x) can not be easily calculated using normal integration formula, it is calculated by taking the ILATE rule as, such that ∫ 1.ln(x) dx, now integration of this can be calculated, the integration of ln (x) is,...

Natural Lag Laws

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FAQs on Natural Log

What is Natural Log in Maths?...

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