Free ebookExponents and Logarithms: The Algebra You Need for Growth and Decay

Course Description

Exponents and Logarithms: The Algebra You Need for Growth and Decay is a practical ebook course in Basic studies Algebra that helps you understand how rapid change works in the real world. From population growth to interest, depreciation, and scientific measurements, exponential thinking shows up whenever quantities multiply by a constant factor over time. This course builds the algebra skills you need to read, model, and solve these situations with confidence.

You will progress from writing and simplifying exponential expressions to using exponent rules as reliable algebra tools, including zero, negative, and fractional exponents. As you connect these ideas to exponential functions and their graphs, you will learn to recognize growth and decay patterns and interpret what key features mean in context. The course emphasizes clear reasoning so you can move beyond memorizing rules and start using them to make decisions and justify steps in your work.

Next, you will build exponential models for real situations, translating word problems into equations and interpreting parameters in terms of starting value, growth factor, and rate of change. You will also learn why logarithms exist as the inverse of exponentials and how that relationship turns hard-to-solve exponential equations into manageable algebra. With logarithm properties, you will simplify expressions, solve logarithmic equations, and check validity so your solutions make sense in the domain of the original problem.

Finally, you will combine exponent and logarithm skills to solve growth and decay problem solving scenarios, including change of base and interpreting log scales used in science and everyday data. If you want a strong Algebra foundation for exponential functions, logarithms, and equation solving that transfers directly to real-world modeling, start the course today.