Natural Log Rules
As natural and common both logs have only a difference of base, thus the rules for natural logs are the same as common log, which are already discussed. The only difference is that in natural log rules, instead of log (symbol of common log with base 10) we use ln (symbol for natural log base e). These rules can be stated as follows:
- ln (mn) = ln m + ln n
- ln (m/n) = ln m – ln n
- ln mn = n ln m
- ln a = (log a) / (log e)
- ln e = 1
- ln 1 = 0
- eln x = x
Log Rules
Logarithm Rules or Log Rules are critical for simplifying complicated formulations that include logarithmic functions. Log Rules make it easier to calculate and manipulate logarithms in a variety of mathematical and scientific applications. Out of all these log rules, three of the most common are product rule, quotient rule, and power rule. Other than these, we have many rules of the logarithm, which we will discuss further in the article. This article explores, all the rules for logs including derivative and integral, in detail with the Logarithm Rules Examples. So, let’s start learning about all the rules logarithms have.
Table of Content
- What are Log Rules?
- Types of Logarithm
- List of Logarithm Rules
- Natural Log Rules
- Applications of Logarithm
- Product Rule of Logarithms
- Logarithm Power Rule
- Quotient Rule of Logarithms
- Solved examples of Log Rules
- Practise Questions on Log Rules