Exponential and Logarithmic Functions

The Exponential and Logarithmic Functions chapter in Math Algebra on STEM Calculators covers the functions used to model growth, decay, and scale, with interactive tools that make exponential and logarithmic behavior easier to understand. It includes calculators and explainers for exponential growth and decay, compound interest-style models, logarithm basics, and the relationship between logs and exponentials as inverse functions.

On this page you can evaluate and graph exponential and log functions, solve exponential equations, apply logarithm rules (product, quotient, and power rules), and change bases when needed. Many tools also support real-world modeling tasks such as finding doubling time, half-life, continuous growth/decay, and interpreting parameters in forms like y = a·b^x and y = a·e^kx, with step-by-step outputs that keep algebra and units consistent.

The difficulty level ranges from intermediate algebra to advanced high school and early college prep, making it ideal for students moving into precalculus, calculus, chemistry kinetics, and finance-style applications. Teachers can use it to demonstrate transformations and solution strategies, self-learners can build confidence through guided practice, and advanced users can quickly verify equations, logs, and model parameters when working with real data and exponential behavior.