Free Lectures of Math 9th Class Chapter 3: Logarithms

Chapter 3: Logarithms (48 videos)

Introduction of Logarthim

The difficult and complicated calculation s be come easier by using logarithms.logarithms. Abu Muhammad Musa Al Khwarzimi first gave the idea of logarithms. Later on, in the seventeenth century John Napier extended his work on logarithms and prepared tables for logarithms. He used "e" as the base for the preparation of logarithm tables.Professor Henry Briggs had a special interest in the work of John Napier. He prepared by Jobst Burgi in 1620 A.D.

Scientific Notation

There are so many numbers that we use in science and technical work that are either very small or very large.For instance, the distance from the Earth to the sun is 150,000,000 Km approximately and  a hydrogen atom weights 0.000,000,000,000,000,000,000,001,7 gram. while writing such a numbers in ordinary standard form. There is a chance of error by omitting a zero or writing more than actual zeros. To overcome this problem scientists have developed a concise,precise, and convenient method to write very small or very large numbers.

Definition of Scientific Notation

A number written in the scientific form a x 10^n where 1<=a<=10 and n is an integer is called scientific Notation. 




3.1: Scientific Notation

1. Introduction to Scientific Notation
2. Problem 1: Introduction to Scientific Notation
3. Converting Scientific to Common form
4. Problem 1: Converting Scientific to Common form
5. Movement of Decimal in Scientific Notation
6. Adding & Subtracting Scientific Notation
7. Problem 1: Adding & Subtracting Scientific Notation
8. Multiplication of Numbers in Scientific Notation
9. Problem 1: Multiplication of Numbers in Scientific Notation
10. Division of Numbers in Scientific Notation
11. Problem 1: Division of Numbers in Scientific Notation
3.2: Logarithm
1. Logarithm Definition
2. Problem 1: Logarithm Definition
3. Converting Exponential to Log Form
4. Problem 1: Converting Exponential to Log Form
5. Converting Log to Exponential Form
6. Problem 1: Converting Log to Exponential Form
7. How to Find Unknown Base in Log Form
8. Problem 1: How to Find Unknown Base in Log Form
9. How to Find Unknown Number in Log Form
10. Problem 1: How to Find Unknown Number in Log Form
11. How to Find Unknown index in Log Form
12. Problem 1: How to Find Unknown index in Log Form
13. Characteristic & Mantissa of Logarithm
14. Problem 1: Characteristic & Mantissa of Logarithm
15. How to Find Characteristic of Given Number
16. Problem 1: How to Find Characteristic of Given Number
17. Finding Mantissa of Number by Log Table
18. Problem 1: Finding Mantissa of Number by Log Table
19. Introduction to Anti-Logarithms
20. Problem 1: Introduction to Anti-Logarithms
3.3: Common Logarithm and Natural Logarithm
1. Common Logarithm
2. Problem 1: Common Logarithm
3. Natural logarithm
4. Problem 1: Natural logarithm
3.4: Laws of Logarithm
1. Law of Change of Base of Logarithm
2. Problem 1: Law of Change of Base of Logarithm
3. Product Law of Logarithm
4. Problem 1: Product Law of Logarithm
5. Power Law of Logarithm
6. Problem 1: Power Law of Logarithm
7. Quotient Law of Logarithm
8. Problem 1: Quotient Law of Logarithm
3.5: Application of Laws of Logarithm in Calculations
1. Applications of Logarithm Laws in Calculations
2. Problem 1: Applications of Logarithm Laws in Calculations
3. Problem 2: Applications of Logarithm Laws in Calculations
4. Problem 3: Applications of Logarithm Laws in Calculations
5. Problem 4: Applications of Logarithm Laws in Calculations

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