About this topic
Before you begin
Use inverse exponential and logarithmic graphs, retain base and argument restrictions, and solve equations and decay models.
Learning goals
- Produce exact logarithmic values with valid real bases and arguments
- Produce a combined logarithm argument with its original domain
- Produce complete logarithmic equation results and original domains
- Produce complete real exponential equation results
- Model and interpret exponential and logarithmic relationships
- Formulate, use and interpret a mathematical model
- Use logarithm laws with domain conditions
- Produce calibrated exponential model parameters, predictions and target times
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
Choose a lesson
Work through them in order.
- Not startedExponentials, logarithms and domainsNextUse inverse graphs, valid bases and original argument conditions to solve exponential equations and interpret a decay model with a fixed background.
- Not startedCalibrate exponential models from observationsNextMatch a multiplier to its time step, recover a fixed background from equally spaced readings, and check predictions and attainable target times.
No lessons match these filters. Try a shorter search, or show all lessons.