Verified Author
Madhukar V
Curriculum Developer
Bhanzu
I am a Curriculum Developer at Bhanzu with 10+ years of experience in teaching, instructional design, and applied mathematics. I have always approached math differently, focusing on the underlying principles rather than just the methods. I have taught students across all school boards, IIT-level competitive exams, Olympiads, and engineering mathematics. I have worked as a Data Engineer applying mathematics to real-world problems. I have also published a research journal on watermark technology using AI. Through my blogs, I aim to make mathematics simple, intuitive, and relatable for every learner.
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Articles
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Topics
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Degree
📋Editorial Standards: All articles by Madhukar V are reviewed for accuracy and aligned with Bhanzu's editorial guidelines. Content is based on expertise in Statistics and Probability and formal education at DSI.
🎓 Education & Qualifications
Bachelor of Engineering
DSI · 2016
📚 Topics Covered
Articles by Madhukar V
(2)Properties of Logarithms - Laws, Formulas, Proofs
The properties of logarithms are seven identities that simplify logarithmic expressions: the product rule ($\log_b(xy) = \log_b x + \log_b y$), quotient rule ($\log_b(x/y) = \log_b x - \log_b y$), power rule ($\log_b(x^n) = n \log_b x$), change-of-base formula, and three special values ($\log_b 1 = 0$, $\log_b b = 1$, $\log_b b^n = n$).
Coefficient - Definition, Types, and Math Examples
A coefficient is the number that multiplies a variable in an algebraic expression — in $3x$, the coefficient is $3$. This article covers the formal definition, the four types of coefficients, how to identify them in any expression, the rule for variables with no visible number, and the most common mistakes when picking out the coefficient.