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November 8, 2025Bulletin of the National Engineering Academy of the Republic of Kazakhstan0 citationsOpen Access

Methods for solving exponential and logarithmic equations in the school mathematics curriculum

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IZI. M. ZiyatbekovaMIMakpal IskakovaGZGulzat Ziyatbekova

Key Points

  • Exponential equations were solved using various methods, emphasizing base equalization and transformations.
  • Specific examples illustrate the application of graphical techniques in solving logarithmic equations effectively.
  • Theoretical foundations underpin teaching strategies, guiding students through methods like logarithmization and new variable introduction.
  • Recommendations enhance mathematical thinking for students, supporting teachers with effective instructional resources.

Abstract

This article examines the methods for solving exponential and logarithmic equations in the school mathematics curriculum. The theoretical foundations of these equations, as well as various approaches to solving them, are explored, with a focus on their application features. Methods such as base equalization, introducing a new variable, logarithmization, transformations, and graphical techniques are explained through specific examples. Additionally, recommendations are provided to help students develop mathematical thinking and gain a deeper understanding of the subject. The article serves as a methodological resource for school students and teachers.

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Cite This Study

Ziyatbekova et al. (2025) studied this question.

synapsesocial.com/papers/690e8b75a5b062d7a4e738d4https://doi.org/10.47533/2025.1606-146x.2-11
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Innovative Teaching Technique for the Exponential and Logarithmic Functions2024
  2. 2Using contextual problems to develop preservice mathematics teachers’ understanding of exponential and logarithmic concepts2024 · 1 citations
  3. 3Elementary Mathematics: Manual Calculations2025
  4. 4Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis2024
  5. 5"METHODOLOGY FOR SOLVING NON-STANDARD EQUATIONS AND INEQUALITIES"2026