One Shot Logarithm Revision: Score Full Marks in GTU Diploma maths sem1

Master Logarithms with Priyanka Chauhan Ma’am! This ultimate one-shot revision covers everything you need for your 1st semester diploma maths, GTU, and polytechnic exams. Get ready to ace your GTU and MSBTE papers as we solve every important question and master the shortcut tricks. What you will learn in this video: Complete Logarithm introduction & exponential forms. Mastering Logarithm rules (Product, Quotient, Power, and Change of Base). Solving GTU & MSBTE Exam MCQs and descriptive 3-4 mark questions. Proven strategies for proving complex logarithmic equations. Common mistakes to avoid during exams (Mistake Alerts!). ⏳ Class Index & Topic Map 0:00 — Welcome & Exam Strategy for Diploma Sem 1 01:57 — Exponential to Logarithmic Form: aˣ = y ⇔ logₐ y = x 05:15 — Rule 1: logₐ 1 = 0 (Identity of 1) 06:32 — Rule 2: logₐ a = 1 (Same Base & Number) 07:45 — Product Rule: logₐ(m · n) = logₐ m + logₐ n 09:42 — Quotient Rule: logₐ(m ÷ n) = logₐ m − logₐ n 10:40 — Power Rule: logₐ(mᵏ) = k · logₐ m 12:15 — Change of Base Rule: logₐ b = (log꜀ b) ÷ (log꜀ a) 15:15 — Step-by-Step Strategy: How to Approach Any Question 18:40 — ⚠️ Mistake Alert! Common Errors in Rule Application 21:00 — Q1: Find x if log₂ x = 3 22:40 — Q2: Simplify log a − log b 23:40 — Q3: Value of logₐ a 25:00 — Q4: Solve (1 ÷ log₆ 2) + (1 ÷ log₆ 3) 29:15 — Q5: Find the value of log₅ 125 37:00 — Ex 1: Prove (1 ÷ log₁₂₀ 12) + (1 ÷ log₁₂₀ 2) + (1 ÷ log₁₂₀ 5) = 1 43:32 — Ex 2: Prove (1 ÷ log₆ 24) + (1 ÷ log₁₂ 24) + (1 ÷ log₈ 24) = 2 48:22 — Ex 3: Advanced Variable Proof using x, y, z 59:30 — Ex 4: Identity Proof: log x² − log x methods 01:06:20 — Q1: Solve (4 log 3 · log x) ÷ log 9 = 3 log 3 01:13:30 — Q2: Solve log x + log(x − 5) = log 6 (Quadratic Equation) 01:21:00 — Q3: If log((x+y) ÷ 2) = ½(log x + log y), prove x = y 01:27:54 — Q4: Complex Square Root Proof in Logarithm 01:32:00 — Function-based MCQ: f(x) = log eˣ 01:33:30 — Solving for (log x ÷ log y) given yᵃ = xᵇ 01:36:30 — 📝 Home Assignment: 7 Most Important GTU & MSBTE Questions 1st semester diploma maths GTU diploma maths sem 1 MSBTE diploma maths logarithm Logarithm one shot revision Polytechnic maths 1st semester MSBTE diploma maths logarithm Diploma engineering mathematics sem 1 GTU previous year paper solution diploma maths Logarithm rules and formulas MSBTE K-Scheme maths solution Polytechnic 1st year maths logarithm Priyanka Chauhan Ma'am maths classes Pramey Maths Classes Logarithm Logarithm masterclass for engineering Diploma maths sem 1 important questions 📌 Mentor: Priyanka Chauhan Ma’am 🚀 Channel: Pramey Maths Classes Diploma Engineering Don't forget to: ✅ Subscribe for more Diploma, MSBTE & Polytechnic Maths content. 👍 Like the video if this helped your exam preparation. 💬 Comment "All 7 Questions Solved" once you finish the practice section! 📢 Share this with your classmates to help them score better! #DiplomaMaths #GTU #MSBTE #LogarithmOneShot #PolytechnicMaths #DiplomaEngineering #PriyankaChauhan #PrameyMathsClasses