Logarithm Basics: The Only Intro You Need | Diploma Maths |GTU |DDCET

Master the fundamental concepts of Logarithms with Priyanka Chauhan Ma'am from Pramey Maths Classes. This introductory session is essential for 1st semester diploma maths and polytechnic students.Learn how to effortlessly switch between exponential and logarithmic forms and solve for unknown variables like a pro! 📚 𝐖𝐡𝐚𝐭 𝐘𝐨𝐮 𝐖𝐢𝐥𝐥 𝐋𝐞𝐚𝐫𝐧 ✅ 𝐂𝐨𝐧𝐜𝐞𝐩𝐭 𝐨𝐟 𝐋𝐨𝐠: Understand the mathematical foundation of Logarithms for MSBTE and GTU. ✅ 𝐄𝐱𝐩𝐨𝐧𝐞𝐧𝐭𝐢𝐚𝐥 𝐯𝐬 𝐋𝐨𝐠 𝐅𝐨𝐫𝐦: Master the "Interchange Trick" used in Basic Mathematics ✅ 𝐑𝐞𝐬𝐭𝐫𝐢𝐜𝐭𝐢𝐨𝐧𝐬: Critical rules for base 'a' and value 'y' essential for Maharashtra Polytechnic MCQs. ✅ 𝐄𝐱𝐚𝐦 𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧𝐬: Step-by-step calculation for finding 'x' in common 1-mark & 2-mark exam questions. 📍 𝐃𝐞𝐭𝐚𝐢𝐥𝐞𝐝 𝐊𝐞𝐲 𝐌𝐨𝐦𝐞𝐧𝐭𝐬 (𝐓𝐢𝐦𝐞𝐬𝐭𝐚𝐦𝐩𝐬) 00:00 — Introduction to Logarithm Unit-1 for GTU & MSBTE 01:30 — Understanding the Relationship: 𝟐³ = 𝟖 vs 𝐥𝐨𝐠₂ 𝟖 = 𝟑 02:14 — Example: Convert 𝟕² = 𝟒𝟗 into Logarithmic Form 05:32 — Defining the Base and Argument in 𝐥𝐨𝐠ₐ 𝐲 = 𝐱 08:40 — The Fundamental Rule: 𝐚ˣ = 𝐲 ⟺ 𝐥𝐨𝐠ₐ 𝐲 = 𝐱 11:26 — 𝐏𝐫𝐚𝐜𝐭𝐢𝐜𝐞 𝐒𝐞𝐭 𝟏 (𝐄𝐱𝐩𝐨𝐧𝐞𝐧𝐭𝐢𝐚𝐥 𝐭𝐨 𝐋𝐨𝐠): (i) 𝟓⁴ = 𝟔𝟐𝟓 (ii) 𝟏𝟎⁻² = 𝟎.𝟎𝟏 (iii) 𝟑⁻⁴ = 𝟏/𝟖𝟏 (iv) (𝟏/𝟐)⁻³ = 𝟖 14:57 — 𝐏𝐫𝐚𝐜𝐭𝐢𝐜𝐞 𝐒𝐞𝐭 𝟐 (𝐋𝐨𝐠 𝐭𝐨 𝐄𝐱𝐩𝐨𝐧𝐞𝐧𝐭𝐢𝐚𝐥): (i) 𝐥𝐨𝐠₇ 𝟑𝟒𝟑 = 𝟑 (ii) 𝐥𝐨𝐠₁₀ 𝟎.𝟎𝟎𝟏 = −𝟑 (iii) 𝐥𝐨𝐠₈ (𝟏/𝟔𝟒) = −𝟐 18:14 — 𝐒𝐨𝐥𝐯𝐢𝐧𝐠 𝐟𝐨𝐫 𝐗 : (i) Find x : if 𝐥𝐨𝐠ₓ 𝟑𝟒𝟑 = 𝟑 (ii) Find x : if 𝐥𝐨𝐠₅ 𝐱 = 𝟑 21:00 — 𝐆𝐓𝐔 𝐄𝐱𝐚𝐦 𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧: Find x if 𝐥𝐨𝐠ₓ (𝟏/𝟖𝟏) = −𝟒 22:53 — 𝐀𝐝𝐯𝐚𝐧𝐜𝐞𝐝 𝐒𝐨𝐥𝐯𝐢𝐧𝐠: Find x if 𝐥𝐨𝐠₃ (𝐱 + 𝟐) = 𝟐 24:14 — Important Note on Logarithm Properties & Outro GTU GTU Exam Diploma Maths DDCET Preparation MSBTE MSBTE K-Scheme Maharashtra Polytechnic Maths 1st semester diploma maths Polytechnic maths Logarithm Intro Priyanka Chauhan Ma'am Pramey Maths Classes Diploma Engineering Mathematics GTU Paper Solution #GTU, #GTUExam,#DDCET #DiplomaMaths, #MSBTE, #MaharashtraPolytechnic, #KScheme, #1stSemesterMaths, #Polytechnic, #Logarithms, #PriyankaChauhanMaam