The bomb cannon (preparation plan, cheat sheet, theory and practice) for the first part from me is here: https://mnlp.cc/mini?domain=mathmsu&i... My courses on the specialized Unified State Exam: https://3.shkolkovo.online/math-msu All announcements and mathematical activity in Andrey Pavlikov's Telegram: https://t.me/mathmsu VK group: https://vk.com/hitman_math Tik-Tok: / hitman_math My Instagram: / andreypavlikov_math Lesson plan: Everything about the logarithm for the specialized Unified State Exam Definition of the logarithm Examples Formulas Review of Unified State Exam problems that contain logarithms Problem 1. Equations Problem 4. Transformation of expressions Problem 7. Text problems with practical content Problem 9. Functions and graphs Problem 11. Study of functions Problem 12. Complex equations Problem 14. Complex Inequalities Problem 17. Problem with a parameter Time codes: 0:00 Let's start the lesson on logarithms 0:56 What will happen today 1:12 Stream rules 2:20 In which Unified State Exam problems are logarithms found 4:00 Getting to know the audience 6:45 Who will benefit from the lesson 7:14 Where do logarithms come from 9:30 Definition of a logarithm 10:41 Why a=1 is excluded 11:24 Make friends with mathematics 13:09 In which profile problems is a logarithm found 14:14 Graphs of the exponential function 15:40 Graphs and properties of the logarithmic function 19:45 Basic formulas for logarithms 29:18 Formula for transition to a new base 35:50 Proof of the formula for transition to a new base 37:39 Corollary of the formula for transition to a new base 39:06 Where am I can be found 45:18 Dynamics of results for samples 48:30 Let's move on to practice 49:15 Problem 1 50:17 Problem 2 51:54 Problem 3 52:54 Problem 4 55:00 Problem 5 57:44 Problem 6 1:00:17 Problem 7 1:03:25 Problem 8 1:06:10 Problem 9 1:11:22 DWI at the Faculty of Mechanics and Mathematics and the Faculty of Economics at Moscow State University 1:12:35 Problem 10 1:14:50 Problem 11 1:17:00 How to understand which exams to take 1:17:30 How to do the check 1:19:04 Problem 12 1:20:50 How to choose from three math faculties 1:22:40 Why do psychologists need mathematics 1:24:14 Problem 13 1:25:33 Problem 14 1:30:07 Problem 15 1:33:50 Problem 16 1:36:21 Problem 17 1:38:31 Problem 18 1:40:42 Text problems with formulas 1:42:10 Problem 19 1:47:23 The Unified State Exam has become more difficult 1:48:07 Problem 20 1:58:30 Syrup is a concentrate of knowledge 1:59:15 About the derivative 2:00:20 How the second part differs from the first 2:02:24 Problem 24 2:12:03 Suspiciously easy 2:13:30 Problem 25 2:23:30 From zero to 60 points in a month 2:24:10 Problem 26 2:36:06 Why are they needed logarithms 2:38:45 What is needed to solve inequalities 2:42:20 Problem 27 2:58:30 Problem 28 3:10:20 Only those who are ready to bot remain 3:12:45 Problem 29 3:26:34 Unified State Exam for 100 points 3:28:42 Problem 34 parameter 3:34:17 Case one 3:39:42 Case two 3:43:00 Two important conclusions 3:45:54 Tracking the coincidence of roots 3:48:47 Summing up 3:49:55 Answers to questions #Log #ProfileUSE #Logarithm Profile mathematics Problem 1 Problem 4 Problem 7 Problem 9 Problem 11 Problem 12 Problem 14 Problem 17 Definition of logarithm Equations Transformation expressions Text problems with practical content Functions and graphs Study of functions Complex equations Complex inequalities Problem with a parameter