Build mastery over exponential and logarithmic models. Learn compound interest, half-life, log properties, and advanced equation-solving techniques with rigorous, step-by-step guidance.
Analyze exponential growth/decay and interpret model parameters.
Apply compound and continuous compounding to finance problems.
Use half-life and exponential decay in science applications.
Master logarithm identities and change-of-base computations.
Solve exponential/logarithmic equations and validate domains.
Lesson 2-1
Definition, growth vs. decay, continuous/periodic compounding, half-life modeling, and real data interpretation.
Lesson 2-2
Log as inverse of exponential, domain/range, key identities, change of base, and expression simplification.
Lesson 2-3
Same-base method, logarithmic method, substitution, domain checks, and application problems.
Exponential and logarithmic fluency is foundational for calculus, statistics, and data science.
Finance, population dynamics, pharmacokinetics, and physics rely on exponential/logarithmic models.
Log scales (like decibels, Richter scale) help interpret multiplicative phenomena and growth rates.