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MathsLogarithms
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    • 8.1. What Are Logarithms
    • 8.2. Laws of Logarithms
    • 8.3. Logarithmic Identities
    • 8.4. Change of Base Formula
    • 8.5. Relation Between Exponential and Logarithmic Forms
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  • Numbers
  • 1. Number Systems
  • Algebra
  • 2. Algebraic Expressions
  • 3. Linear Equations
  • 4. Polynomials
  • 5. Quadratic Equations
  • 6. Arithmetic Progressions
  • 7. Inequalities
  • 8. Logarithms
    • 8.1. What Are Logarithms
    • 8.2. Laws of Logarithms
    • 8.3. Logarithmic Identities
    • 8.4. Change of Base Formula
    • 8.5. Relation Between Exponential and Logarithmic Forms
  • 9. Factorisation
  • Geometry
  • 10. Lines and Angles
  • 11. Triangles
  • 12. Quadrilaterals
  • 13. Polygons
  • 14. Circles
  • 15. Coordinate Geometry
  • Mensuration
  • 16. 2D Mensuration
  • 17. 3D Mensuration
  • Trigonometry
  • 18. Introduction to Trigonometry
  • 19. Trigonometric Identities
  • 20. Heights and Distances
  • 21. Trigonometric Functions
  • 22. Inverse Trigonometric Functions
  • Advanced Algebra
  • 23. Sequences and Series
  • 24. Matrices
  • 25. Determinants
  • 26. Complex Numbers
  • 27. Permutations and Combinations
  • 28. Binomial Theorem
  • 29. Sets
  • 30. Relations
  • 31. Functions
  • Calculus
  • 32. Limits
  • 33. Continuity
  • 34. Differentiation
  • 35. Applications of Derivatives
  • 36. Integration
  • 37. Applications of Integrals
  • 38. Differential Equations
  • Vectors and 3D Geometry
  • 39. Vectors
  • Statistics and Probability
  • 40. Data Handling
  • 41. Measures of Central Tendency
  • 42. Measures of Dispersion
  • 43. Correlation
  • 44. Probability
  • 45. Random Variables
  • 46. Probability Distributions
  • Linear Programming
  • 47. Formulation of Linear Programming Problems
  • 48. Graphical Method
  • 49. Linear Programming - Constraints and Feasible Region
  • 50. Optimization Problems
  • Mathematical Reasoning
  • 51. Statements
  • 52. Logical Connectives
  • 53. Implications
  • 54. Validity of Statements and Arguments
Compound InequalitiesWhat Are Logarithms

Logarithms

Logarithms explained with definitions, laws, base-change formula, and step-by-step examples.

1.What Are Logarithms
Understand what logarithms are with simple student notes: meaning, basic definition, why we use logs, real-life examples, inverse relation, and practice.
2.Laws of Logarithms
Learn the laws of logarithms with simple student notes: product rule, quotient rule, power rule, conditions for logs, examples, mistakes, and practice.
3.Logarithmic Identities
Learn the essential logarithmic identities with simple explanations: log of 1, log of base, inverse relations, reciprocals, and examples.
4.Change of Base Formula
Understand the change of base formula for logarithms with clear student notes, meaning, formulas, examples, calculator use, common mistakes, and practice.
5.Relation Between Exponential and Logarithmic Forms
Understand the relationship between exponential and logarithmic forms with simple notes: conversion rule, meaning, graphs, examples, mistakes, and practice.
Compound InequalitiesWhat Are Logarithms
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