\contentsline {section}{\numberline {1}How to Use the Self-Paced Review Module}{3}
\contentsline {section}{\numberline {2}Exponentials \& Logarithms Review Module}{3}
\contentsline {subsection}{\numberline {2.1}Exponents}{4}
\contentsline {subsubsection}{\numberline {2.1.1}The Laws of Exponents}{4}
\contentsline {subsubsection}{\numberline {2.1.2}Fractional Exponents}{6}
\contentsline {subsection}{\numberline {2.2}Exponentials as Functions}{7}
\contentsline {subsection}{\numberline {2.3}Exponential Graphs}{10}
\contentsline {subsection}{\numberline {2.4}Applications of Exponentials}{11}
\contentsline {subsubsection}{\numberline {2.4.1}Positive Exponential Examples}{11}
\contentsline {subsubsection}{\numberline {2.4.2}Negative Exponential Examples}{11}
\contentsline {subsection}{\numberline {2.5}Logarithms}{12}
\contentsline {subsubsection}{\numberline {2.5.1}Graphs of the Logarithms}{13}
\contentsline {subsubsection}{\numberline {2.5.2}Using Logarithms}{13}
\contentsline {subsection}{\numberline {2.6}Calculating with complex numbers}{15}
\contentsline {subsection}{\numberline {2.7}Answers to Exercises}{16}
\contentsline {section}{\numberline {3}Review Problems on Logarithms, Exponentials, and Complex Numbers}{17}
\contentsline {subsection}{\numberline {3.1}Calculating with exponents}{17}
\contentsline {subsection}{\numberline {3.2}Calculating with logarithms}{17}
\contentsline {subsection}{\numberline {3.3}Application Problems}{18}
\contentsline {subsubsection}{\numberline {3.3.1}Calculating with Exponents}{18}
\contentsline {subsection}{\numberline {3.4}Calculating with complex numbers}{20}
\contentsline {subsection}{\numberline {3.5}Solutions}{20}
\contentsline {section}{\numberline {4}Exponentials and Logarithms Self-Tests}{30}
\contentsline {subsection}{\numberline {4.1}Diagnostic Exam \#1}{30}
\contentsline {subsection}{\numberline {4.2}Diagnostic Exam \#1 Solutions}{31}
\contentsline {subsection}{\numberline {4.3}Diagnostic Exam \#2}{33}
\contentsline {subsection}{\numberline {4.4}Diagnostic Exam \#2 Solutions}{34}
\contentsline {section}{\numberline {5}Exponentials and Logarithms Self-Evaluation}{35}