Exponential and Logarithmic Functions
Logarithm laws, change of base, Euler's number, natural logarithms, solving equations with e and ln, and exponential growth and decay modelling.
Active lessons
5
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Unit pathway
Lesson pathway
5 of 5 active
Lesson 1
Logarithm Laws and Change of Base
Apply product, quotient and power laws, use change of base, evaluate special logarithms, and check logarithm domains.
Lesson 2
Euler's Number and the Natural Logarithm
Use e, natural logarithms, inverse identities, and special values such as ln 1, ln e, and ln(e^k).
Lesson 3
Solving Equations with e and ln
Solve exponential and logarithmic equations using inverse operations, logarithm laws, exact forms, decimal approximations, and domain checks.
Lesson 4
Exponential Growth and Decay Modelling
Use continuous exponential models, interpret parameters, solve for k or t, and handle half-life, doubling time, and contextual units.
Lesson 5
Exponential and Logarithmic Functions Exam Practice
Apply logarithm laws, change of base, e and ln identities, equation solving, domain checks, and growth-decay modelling in mixed HSC-style questions.