Logarithms
See the missing power, move the graph and check your reasoning. Learn with Rajesh Sir through short topics, worked examples and questions that explain the next step.
Classes 11–12 · JEE · optional Class 10 bridge
Logarithms with Rajesh Sir: See the Missing Power
Learn logarithms with live graphs, domain explorers, short quizzes and worked solutions. Choose a Class 10 bridge, CBSE Class 11–12 route or JEE challenge.
Class 11
Logarithms: Find the Missing Power
Discover what a logarithm means with movable examples, clear domain checks and short quizzes. Build confidence with common logs, natural logs and powers.
Class 11
Logarithm Laws: See the Structure Before Calculating
Understand and practise logarithm laws with factor tiles, exact worked examples and short quizzes. Learn when powers move out and why domains still matter.
Class 11
Logarithm Graphs: Follow the Input, Watch the Output
Explore increasing and decreasing logarithm graphs, inverse exponentials and simple transformations. Use clear coordinates, domain checks and short quizzes.
Class 11
Logarithmic Equations: Find the Value, Keep the Conditions
Solve logarithmic equations step by step with Rajesh Sir. Practise domain checks, repeated-log substitutions and worked questions with clear feedback.
Class 11
Change of Base: Make Different Logarithms Work Together
Learn change of base with Rajesh Sir. Explore reciprocal logs, linked chains and JEE extensions through clear examples, interactive checks and worked practice.
JEE extension
Logarithmic Inequalities: Follow the Base, Keep the Domain
Solve fixed and variable-base logarithmic inequalities with Rajesh Sir. Use graphs, case splits and number lines to keep every domain and endpoint correct.
Class 11
Logarithmic and Exponential Limits: Follow the Approach
Explore logarithmic and exponential limits with moving values, clear worked examples and short checks. Build the Class 11 bridge to calculus.
Class 12
Logarithmic Derivatives: From Slope to a Powerful Method
Find logarithmic and exponential derivatives, apply the chain rule and differentiate x to the power x with clear steps, slope exploration and checks.
Class 12
Logarithmic and Exponential Integrals: Reverse the Change
Integrate 1/x, exponential functions and ln x with substitution, parts and definite integrals. Explore signed area and check every answer by differentiation.
JEE extension
Logarithm Challenges: Spot the Structure, Check Every Step
Try Rajesh Sir’s logarithm challenges: reject extra roots, simplify nested radicals and telescope long sums and products with exact endpoints and worked checks.