JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Rules of Logarithmic Functions
Rules of Logarithmic Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Rules of Logarithmic Functions Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What are the basic properties of logarithmic functions? |  |
Ans. The basic properties of logarithmic functions are as follows:
- The logarithm of a product is equal to the sum of the logarithms of the individual factors. This property is known as the product rule.
- The logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator. This property is known as the quotient rule.
- The logarithm of a power is equal to the product of the exponent and the logarithm of the base. This property is known as the power rule.
- The logarithm of 1 to any base is always 0.
- The logarithm of any number to the base of that number is always 1.
| 2. How do I solve logarithmic equations? | |
Ans. To solve logarithmic equations, you can follow these steps:
1. Determine if the equation can be rewritten in logarithmic form.
2. Apply the properties of logarithms to simplify the equation.
3. Solve the resulting equation using algebraic techniques.
4. Check the solution(s) in the original equation to ensure they are valid.
| 3. Are there any restrictions on the domain of logarithmic functions? | |
Ans. Yes, there are restrictions on the domain of logarithmic functions. Since the logarithm of a negative number is undefined in the real number system, the argument of a logarithm must be greater than zero. Therefore, the domain of a logarithmic function is all positive real numbers.
| 4. Can logarithmic functions be used to solve exponential equations? | |
Ans. Yes, logarithmic functions can be used to solve exponential equations. The basic idea is to take the logarithm of both sides of the equation, which allows you to bring the variable out of the exponent. By applying the properties of logarithms, you can then solve for the variable.
| 5. How can logarithmic functions be applied in real-life situations? | |
Ans. Logarithmic functions have various applications in real-life situations, such as:
- Measuring the intensity of earthquakes using the Richter scale, which is based on logarithmic functions.
- Calculating the pH level of a solution in chemistry, which is determined by the concentration of hydrogen ions using a logarithmic scale.
- Modeling population growth or decay in biology and economics.
- Analyzing sound levels, decibels, and musical pitch.
- Calculating the time it takes for a radioactive substance to decay.
About this Video
|
4.71/5 Rating |
|
Nov 22, 2024 Last updated |
Video Description: Rules of Logarithmic Functions for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Rules of Logarithmic Functions have been prepared according to the JEE exam syllabus.
Information about Rules of Logarithmic Functions covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Rules of Logarithmic Functions.
Introduction of Rules of Logarithmic Functions in English is available as part of our Mathematics (Maths) Class 12 for JEE & Rules of Logarithmic Functions in
Hindi for Mathematics (Maths) Class 12 course. Download more important topics related with notes, lectures and mock test series for
JEE Exam by signing up for free.
Description
Video Lecture & Questions for Rules of Logarithmic Functions Video Lecture | Mathematics (Maths) Class 12 - JEE - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) Class 12.
Information about Rules of Logarithmic Functions
Here you can find the meaning of Rules of Logarithmic Functions defined & explained in the simplest way possible.
Besides explaining types of Rules of Logarithmic Functions theory, EduRev gives you an ample number of questions to practice Rules of Logarithmic Functions tests,
examples and also practice JEE tests.
|
204 videos|290 docs|139 tests
|
Video Timeline
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Important questions
,Semester Notes
,shortcuts and tricks
,Exam
,study material
,past year papers
,Sample Paper
,practice quizzes
,Rules of Logarithmic Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
,MCQs
,Extra Questions
,Free
,video lectures
,Summary
,Rules of Logarithmic Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
,Viva Questions
,mock tests for examination
,Rules of Logarithmic Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
,ppt
,Objective type Questions
,Previous Year Questions with Solutions
;
Study Rules of Logarithmic Functions on the App
Students of JEE can study Rules of Logarithmic Functions alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Rules of Logarithmic Functions,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Rules of Logarithmic Functions is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup