Keyword: «method of rationalization»

With the aim of mathematical training level raising among future students of mathematical and technical professions, we need to pay special attention to those math questions without solid knowledge of which successful learning in a University is impossible. In this article, on examples of solving tasks on the topic "Logarithmic inequalities", the author shows the possibility of differentiated approach to the training of future students of technical or mathematical higher schools who will have to learn a course of higher mathematics, particularly mathematical analysis. The development of skills using the traditional method based on the monotonicity of the logarithmic function, and a rationalization method to solving logarithmic inequalities is an important part of high school students training for passing the Unified State Examination in mathematics on advanced level. The content of the article may be interesting to teachers and students who want to enter Universities to study technical or mathematical areas.