Exponential and logarithmic relationships
Build and connect the representations and methods in exponential and logarithmic relationships.
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Before you begin
Build and connect the representations and methods in exponential and logarithmic relationships.
Learning goals
- Model and interpret exponential and logarithmic relationships
- Use logarithm laws with domain conditions
- Formulate, use and interpret a mathematical model
Syllabus statements covered
- Exponential and logarithmic functions a^x, e^x, log_a x, ln x and their graphs, including laws of logarithms, equivalence of y = a^x and x = log_a y, and change of base of logarithms • Simplifying expressions and solving simple equations involving exponential and logarithmic functions • Using exponential and logarithmic functions as models
- Exponential and logarithmic functions a^x, e^x, log_a x, ln x and their graphs, including laws of logarithms, equivalence of y = a^x and x = log_a y, and change of base of logarithms
- Simplifying expressions and solving simple equations involving exponential and logarithmic functions
- Using exponential and logarithmic functions as models
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Exponentials, logarithms and domains
Use inverse graphs, valid bases and original argument conditions to solve exponential equations and interpret a decay model with a fixed background.