Class 10 to JEE: The Foundation Bridge | Logarithms | JEE Main and Advanced (5/6)

Class 10 to JEE: The Foundation Bridge | Logarithms | JEE Main and Advanced (5/6)

Playlist Link:

   • Fundamentals of Mathematics Phase-1 (JEE 2...  
   • Trigonometry Phase-1 (JEE 2027)  
   • Fundamentals of Mathematics Phase-2 (JEE 2...  
   • Theory of Equations (JEE 2027)  
   • Sequence and Series (JEE 2027)  
   • Trigonometry Phase 2-Equation & Inequation...  
   • Fundamentals of Mathematics Phase-3 (JEE 2...  
   • Properties & Solutions of a Triangle (JEE ...  
   • Introduction to Determinants-Class 11th (J...  
   • Coordinate Geometry-Straight Lines (JEE 2027)  
   • One Shot Series for JEE 2026  

Class 10 is the perfect stage to begin shaping your JEE journey. Starting early gives you the opportunity to strengthen your fundamentals, understand key concepts deeply, and develop the right study habits well before the competition intensifies.

An early start not only builds your academic foundation but also boosts your confidence and consistency — two qualities that are essential to succeed in exams like JEE Main and Advanced. By beginning your preparation now, you’re not just getting ahead of others — you’re giving yourself more time to learn, revise, and master every concept with clarity and ease.

So, if you dream of securing a top rank in JEE, take the first step today — because every great journey begins with an early start.

📌 Subtopics Covered:

Characteristics and understanding of exponential functions.

Behavior of graphs related to different exponential functions.

Importance of base value constraints in exponential function.

Introduction to common and natural bases in mathematics.

Evaluating approximate value of e.

Exploration of logarithmic properties and their proofs.

Importance of logarithmic properties in problem-solving.

Introduction to the Reciprocal Property and change of base in logarithms.

Understanding of logarithmic and exponential relationships.

Understanding basic logarithmic properties and square roots.

Detailed explanations of logarithmic properties with examples.

Simplifying expressions using logarithmic properties.

Relationship between basic exponents and logarithms.

Graphs of logarithmic functions and their properties.

Exploring vertical asymptotes and graph behaviour’s.

Symmetry and mirror images in mathematical graphs.

Introduction to asymptotes and their significance in mathematics.

Behaviour and domain restrictions of logarithmic functions.

Inequalities in exponential and logarithmic equations.

Clarification of true and false statements with graph representation.

Logarithmic values based on graph positioning relative to unity.

Equivalent logarithmic equations and domain constraints.

Importance of referencing original forms of equations for clarity.

Solving exponential equations.

Transformations of logarithmic equations with different bases.

Simplifying logarithmic equations involving different bases.

Examination of relationships between quantities and their reciprocals in functions.

Clarification of logarithm components: Characteristic and Mantissa.

Understanding logarithmic numbers, including integral and fractional parts.

Properties of logarithms for calculating characteristics with negative numbers.

Calculating the number of digits and zeros using logarithmic characteristics.

Solving logarithmic inequalities through comparisons.

Characteristics of logarithms and log inequalities

Solving equations using intersections and unions of functions

Finding solution sets through combined inequalities

Simplification of quadratic equations using substitutions

Exploration of roots and factorization in quadratic equations

Union of inequalities to define specific ranges for x

Domain restrictions in mathematical functions, especially logarithmic equations

Exploration of the minimum value of expressions and their complexities

Solving quadratic inequalities and finding their roots

Factorisation Techniques

About the foundation bridge course:

Our foundation bridge course is designed to provide in-depth coverage of essential mathematical concepts for competitive exams. Each video is tailored to enhance your problem-solving skills and deepen your understanding, preparing you for success in IIT JEE, and other competitive exams.

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