Problems in Exponents: Exponential Equations and Inequalities

Exponents are one of the most important basics of Mathematics, especially in calculation. Exponents are also used in some important applications. This includes compound interest, the growth of population and bacteria growth. That is, understanding well about the definitions and properties of exponents are really needed in learning Mathematics.

Problems in Exponents is a book that was written about the foundations of exponents. There are three main chapters in this little book. The first chapter of this book is about the answers to the question what is exponents? This chapter will relate the readers to the definition of exponents and some significant properties of them such as the multiplication or division of two powers that have the same base, power of power, the 0th power of a number, etc. The second chapter of this book is about exponential equations. This chapter is little bit harder than the first chapter of this book. In this chapter, we tell the readers about the rule in solving exponential equations. We give some examples to illustrate about how to solve exponential equations. Additionally, there are some exercises at the end of the chapter. We list some good problems to the readers to solve it by using what they have learnt in the first two chapters.

The last part of this book is about exponential inequalities. Another important section in exponents is exponential inequalities. In this chapter, we explain the readers by using problem-solution strategy. We solve all of problems step by step.

We try to simplify this book to help readers understand clearly about exponents. We hope this little book will become the readers' close friend when they think about exponents.

Richard S.Hammond