Some Important Log values to remember

Duration: 14 min

This video lesson is available to enrolled students.

Return to /learn/RSSB-BASIC-COMPUTER-INSTRUCTOR/paper-1-basic-numeracy/logarithm/laws-or-properties-or-rules-of-logarithms/asset-some-important-log-values-to-remember after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Paper-1 & 2 | Basic Numeracy: Ratio and Proportion (Ratios), Divisibility Rules, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Percentage, Average, Mensuration and Geometry, Age Problems, Arithmetic, Statistics, Probability, Profit and Loss, Simple Interest and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, Powers and Exponents (Surds and Indices), Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy
  3. Paper-1 & 2 | Data Interpretation: Data Interpretation
  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Syllogisms, Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Venn Diagram, Analogy, Ranking, Order and Sequence, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Data Arrangement, Logical Sequence Of Words, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: Selection Decision Table (Decision Making)
  7. Paper-1 | General Science: Physics, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: State Wise GK, GK- Current Affairs
  9. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits
  10. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Calculus, Relational Algebra, SQL, NoSQL
  11. Paper-2 | Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Algorithm Analysis, Sorting Algorithms, Intro to Compilers, Hashing
  12. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, Data Link Layer - Ethernet, DLL: Error Control, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware basics, Network Security, Ethical Hacking
  13. Paper-2 | Operating Systems: Introduction to OS, Process Management, Memory Management, File Management, Deadlock
  14. Paper-2 | Computer Organization and Architecture: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer, Number System, Number Representation
  15. Paper 2 | System Analysis and Design: Fundamentals of Systems and Information Systems, Fundamentals of Software Engineering, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance, Software Testing
  16. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Paper 2 | OOPS , C++ , JAVA: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  18. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  19. Emerging Trends and AI: Emerging Tech Trends, Artificial Intelligence
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications
  21. Paper-2 | Internet and Web Technologies: HTML Basics, CSS, XML, JavaScript-Basics, Internet Fundamentals, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, Terms & Abbreviations, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing
  22. Paper 2 | Pedagogy: Child Development, Theories, Concept of Pedagogy, Inclusive Education, Experiential Pedagogy, Assessment & Evaluation, Psychology, Curriculum Framework & Reforms, National Education Policy (NEP) 2020
  23. Live Classes: RSSB Live Sessions
  24. Paper 1 - Full Mock Tests:
  25. Paper 2 - Full Mock Tests:
  26. BCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a comprehensive lecture on logarithms, presented by Yash Jain from Knowledge Gate Eduventures. The video begins with an introduction to logarithmic concepts, including the definition of a logarithm as the exponent to which a base must be raised to produce a given number, illustrated with the equation log_a(x) = y. It then transitions to a detailed discussion of logarithmic values, presenting two tables: one with exact values for base 10 logarithms (e.g., log 1 = 0, log 2 = 0.3010) and another with approximate values (e.g., log 2 ≈ 0.3, log 3 ≈ 0.5). The instructor explains how to use these approximate values to solve problems, demonstrating the application of logarithmic properties such as log(ab) = log a + log b and log(a/b) = log a - log b. The lecture includes a series of worked examples, such as calculating log 15 by breaking it down into log(3x5) = log 3 + log 5, and log 18 as log(2x3^2) = log 2 + 2log 3. The video concludes with a summary of the key points and a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card displaying the word 'Logarithms' in large white text on a black background, with a hand writing 'log y =' on a chalkboard. This transitions to a collage of whiteboards with various logarithmic equations, such as 'log_a x = y' and 'log_2(8) = 3', and the text 'Logarithms' in a black oval. The instructor, Yash Jain, is visible in a small window, and the video is branded with 'KNOWLEDGE GATE EDUCATOR'. The instructor begins by explaining the fundamental concept of a logarithm, stating that if a^y = x, then log_a(x) = y, which is the exponent to which the base 'a' must be raised to get 'x'. He also introduces the terms 'base' and 'argument' in the context of logarithms.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a slide titled 'Some Important log log Values' with a table of exact logarithmic values for base 10, ranging from log 1 to log 10. The instructor explains that these are the exact values, for example, log 2 = 0.3010 and log 3 = 0.4771. He then transitions to a new slide titled 'Exact Values to the base 10', which is a similar table. The instructor emphasizes the importance of memorizing these values. He then introduces a second table titled 'Approximate Values to the base 10', which simplifies the values (e.g., log 2 ≈ 0.3, log 3 ≈ 0.5). He explains that these approximate values are sufficient for solving problems quickly, especially in competitive exams, and that the exact values are provided for reference.

  3. 5:00 – 10:00 05:00-10:00

    The instructor begins to demonstrate how to use the approximate values to solve logarithmic problems. He starts with log 4, writing 'log 4 = log(2^2) = 2 log 2 = 2 x 0.3 = 0.6'. He then moves to log 6, writing 'log 6 = log(2x3) = log 2 + log 3 = 0.3 + 0.5 = 0.8'. He continues this process for log 8, log 9, and log 10, showing that log 8 = 0.9 and log 9 = 0.95. He also explains that log 11 is approximately 1.05. The instructor uses red circles and checkmarks to highlight the values and the correct answers, reinforcing the method of breaking down numbers into their prime factors and using the properties of logarithms.

  4. 10:00 – 14:10 10:00-14:10

    The video presents a new slide with a list of problems under the heading 'Que: Find the value of following'. The problems include log 15, log 24, log 18, log 48, log 1.5, and log(9/5). The instructor begins solving these problems using the approximate values. For log 15, he writes 'log 15 = log(3x5) = log 3 + log 5 = 0.5 + 0.7 = 1.2'. For log 18, he writes 'log 18 = log(2x3^2) = log 2 + 2 log 3 = 0.3 + 2(0.5) = 1.3'. For log 1.5, he writes 'log 1.5 = log(3/2) = log 3 - log 2 = 0.5 - 0.3 = 0.2'. For log(9/5), he writes 'log(9/5) = log 9 - log 5 = 2 log 3 - log 5 = 2(0.5) - 0.7 = 0.3'. The video concludes with a 'Thanks for Watching' screen.

The video provides a structured and practical lesson on logarithms, progressing from fundamental definitions to the application of approximate values for problem-solving. It effectively teaches students how to use the properties of logarithms to break down complex numbers into simpler components, making calculations faster and more efficient. The use of both exact and approximate value tables caters to different learning needs, while the worked examples demonstrate a clear, step-by-step methodology that is highly applicable to competitive exams.

Loading lesson…