Logarithms
Learning Time: 5-15 hours
Content: Logarithms are mathematical operations that examine the inverses of exponential expressions. The 2025 curriculum includes the definition of logarithms, basic rules, and graphical representation. Basic calculations are covered in TYT, while advanced applications are covered in AYT.
- Basic Concepts:
- Definition of Logarithm (logₐb = c, aᶜ = b)
- Change of Base Rules
- Natural Logarithm (ln) and Common Logarithm (log₁₀)
- Solution Techniques:
- Logarithmic Inequalities
- Logarithmic Equations
- Graphing (Logarithmic Curve)
- Advanced Calculus (ADC):
- Derivatives of Logarithmic Functions
- Complex Logarithmic Problems
- Application Analysis
- Applications:
- Growth Models (Exponential and (Logarithmic)
- Daily Life Examples (pH Measurement)
- Scientific Calculations
- Affecting Factors:
- Base Value
- Argument Range
- Type of Operation
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
