JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Observations Related to Logarithmic and Exponential Functions
Observations Related to Logarithmic and Exponential Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Observations Related to Logarithmic and Exponential Functions Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What are logarithmic functions? |  |
Ans. Logarithmic functions are mathematical functions that are the inverse of exponential functions. They are used to solve equations involving exponential growth or decay. In a logarithmic function, the variable appears in the exponent, and the logarithm of a number is the exponent to which another fixed value, called the base, must be raised to produce that number.
| 2. How do logarithmic functions relate to exponential functions? | |
Ans. Logarithmic functions are the inverse of exponential functions. This means that if we have an exponential function of the form y = a^x, the corresponding logarithmic function is given by x = log_a(y). Logarithmic functions help us solve equations involving exponential growth or decay and can be used to find the unknown exponent.
| 3. What are the properties of logarithmic functions? | |
Ans. Logarithmic functions have several properties, including:
- The logarithm of a product is equal to the sum of the logarithms of the individual factors: log_a(xy) = log_a(x) + log_a(y).
- The logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator: log_a(x/y) = log_a(x) - log_a(y).
- The logarithm of a power is equal to the exponent multiplied by the logarithm of the base: log_a(x^k) = k * log_a(x).
- The logarithm of the base itself is equal to 1: log_a(a) = 1.
These properties help simplify logarithmic expressions and solve equations involving logarithmic functions.
| 4. What are exponential functions? | |
Ans. Exponential functions are mathematical functions where the variable appears as an exponent. They model situations of exponential growth or decay, where the rate of change is proportional to the current value. Exponential functions have a base, which is a positive constant, and the variable is raised to the power of the base.
| 5. How are exponential functions used in real-life applications? | |
Ans. Exponential functions are widely used in various real-life applications, including population growth, compound interest, radioactive decay, and drug dosage calculations. They help model situations where the quantity increases or decreases exponentially over time. For example, exponential functions are used in finance to calculate compound interest, in biology to model population growth, and in physics to describe radioactive decay.
Related Exams
About this Video
|
4.71/5 Rating |
|
Dec 22, 2024 Last updated |
Video Description: Observations Related to Logarithmic and Exponential Functions for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Observations Related to Logarithmic and Exponential Functions have been prepared according to the JEE exam syllabus.
Information about Observations Related to Logarithmic and Exponential Functions covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Observations Related to Logarithmic and Exponential Functions.
Introduction of Observations Related to Logarithmic and Exponential Functions in English is available as part of our Mathematics (Maths) Class 12 for JEE & Observations Related to Logarithmic and Exponential 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 Observations Related to Logarithmic and Exponential 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 Observations Related to Logarithmic and Exponential Functions
Here you can find the meaning of Observations Related to Logarithmic and Exponential Functions defined & explained in the simplest way possible.
Besides explaining types of Observations Related to Logarithmic and Exponential Functions theory, EduRev gives you an ample number of questions to practice Observations Related to Logarithmic and Exponential Functions tests,
examples and also practice JEE tests.
|
204 videos|290 docs|139 tests
|
|
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
Previous Year Questions with Solutions
,Observations Related to Logarithmic and Exponential Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
,Important questions
,practice quizzes
,Observations Related to Logarithmic and Exponential Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
,Semester Notes
,Summary
,Viva Questions
,study material
,Sample Paper
,shortcuts and tricks
,Observations Related to Logarithmic and Exponential Functions Video Lecture | Mathematics (Maths) Class 12 - JEE
,Free
,Exam
,Objective type Questions
,video lectures
,ppt
,Extra Questions
,past year papers
,mock tests for examination
,MCQs
;
Study Observations Related to Logarithmic and Exponential Functions on the App
Students of JEE can study Observations Related to Logarithmic and Exponential Functions alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Observations Related to Logarithmic and Exponential 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 Observations Related to Logarithmic and Exponential Functions is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup