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Logarithms with Rajesh Sir: See the Missing Power

MATHEMATICS YOU CAN EXPLORE

Find the power hiding in the number.

Move a point. Change a base. Watch a curve reverse its direction. Turn logarithms into something you can see, test and explain.

Learn with Rajesh Sir

2³ = 8log₂ 8 = 383Which exponent gets you there?

Your starting point, your next step.

The Class 10 bridge is optional enrichment; the school routes follow the CBSE 2026–27 mathematics syllabus. JEE practice takes the same ideas into more demanding problems.

Class 10 → 11 bridge

Start with the missing power

An optional next step after exponents. Try the opening foundation topics, then return to your Class 10 route.

  1. Meaning, bases and exponents
  2. Stay with Class 10 trigonometry
Class 11

Understand the function

Build the meaning, rules and graphs, then use them to solve equations and explore limits.

  1. Meaning, bases and exponents
  2. Products, quotients and powers
  3. Logarithmic functions and graphs
  4. Equations and domain checks
  5. Change of base and chains
  6. Logarithmic and exponential limits
Class 12

Follow change and accumulation

Connect the logarithm to tangent slopes, logarithmic differentiation and integrals.

  1. Derivatives and logarithmic differentiation
  2. Logarithmic and exponential integrals
JEE practice

Make every condition count

Use the foundations in variable-base inequalities, nested expressions and exact chains.

  1. Inequalities and variable bases
  2. JEE problems and telescoping

Make a prediction. Move the input.

Start with base 2 and target 10. Which two whole-number powers surround the answer?

Short topics. Full reasoning.

Each topic combines a clear explanation, a worked example and a few checks. Hints help you begin; feedback explains the answer. Use Print this topic for the teaching and diagram, while keeping the questions on screen.