Logarithms Made Easy For JEE

4 min readDec 11, 2022

Before the invention of calculus, many mathematicians used logarithms to transform multiplication and division problems into addition and subtraction problems. To get another number in logarithms, the power of some numbers (typically the base numbers) is increased. It is the exponential function’s reciprocal.

Any exponential function can be expressed in logarithmic form because logarithmic functions are the inverses of exponential functions. The exponential form of a logarithmic function can be used to rewrite any logarithmic function. Because they enable us to work with enormous amounts while modifying much smaller numbers, logarithms are crucial.

Here, we’ll go over the logarithmic function.

  • Definition
  • Formula
  • Properties
  • Examples.

The logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 103, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation.

Logarithmic scales condense broad quantities into narrower ranges. They support some models in psychophysics, aid in forensic accounting, appear in formulas counting prime numbers or roughly approximating factorials, and help to describe frequency ratios of musical intervals.

“Log is the Addition Subtraction of Modern math”

Tips & Tricks

  • Don’t Mess up

Log is pretty simple and hard at the same time. If you are getting your way clear, all good, but if you get tackled up, It’s gonna be a tough fight for you. Go Back, restart. Clear your approach, and get back on it.

And if you get doubts, for instance Math doubt, you can surely join our Discord Server. Where you can find new people with whom you can vibe on Maths questions together, lol. But yes, surely vibe on music and study together

  • Cover the basics

Yes, Cover the basics, as there can be n number of questions from this chapter and all require a good concept. And even if something irrelevant occurs that you have never come across, you’ll be able to solve that by hook or crook.


Probability, yes, you don’t know which thing can come in your favor. As this question might come or that, you never know. So just to ensure, practice, as much as you can.

Formulas are used in the chapter on logarithms. A learner may find this difficult due to the abundance of formulas and mathematical concepts. Once they have a fundamental understanding of how the formulas were made, students can easily understand the concepts in this chapter. There are both short and long formulas in this chapter. These are all requirements for the JEE 2023, and other olympiad exams. Students should be knowledgeable about all the concepts and formulas because this chapter contains long answer questions. Each question in the NCERT Solutions for Class 12 must be solved twice in order to speed up the actual math problem. A student must consult the NCERT solutions for Logs or ask their teachers for answers to the problems. In order to improve their grade, they can look for and resolve issues in question papers from previous years.

Always remember: -

“If You Can Dream It, You Can Achieve It”

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Now that you’re here, we’re sure that you’re going to pull up your socks and practice mathematics. We’re pretty confident that you’ll do well, but if you get stuck anywhere, don’t forget we’re here at DoubtConnect. DoubtConnect is an instant doubt solving app, which provides you with master faculties who have a grip on their subject.

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