Logarithmic inequalities
A detailed lesson on inequalities with logarithms, where we'll learn how to solve logarithmic inequalities from scratch and work our way up to examples from the Unified State Exam in advanced mathematics. We'll pay special attention to the most common mistakes: incorrectly writing logarithmic inequalities, failing to reduce logarithms to the same base, and errors in inequality signs.
00:00 What topics are essential to know?
02:10 Is the logarithm an increasing or decreasing function?
04:10 Simple logarithmic inequalities
08:25 Brief algorithm
10:00 Learning to solve different types of problems
24:15 Variable substitution method
35:10 Is it always necessary to solve logarithmic inequalities?
41:20 General algorithm for solving inequalities with logarithms
42:30 Narrowing the logarithmic inequalities. When can't you use the properties of a logarithm?
51:10 Solving Examples
56:45 Logarithmic Inequalities with Variable Bases
Clear textbook: https://sigma-center.ru/