In this lecture you will cover Logarithms and Logarithmic Functions. Our teacher will begin by answering the question What are Logarithms? Then, you will move into Logarithmic Functions, the Graph of the Logarithmic Function, Properties, Inverse Property, and Equations. Then, you will learn how to deal with Logarithms in Inequalities, Equations with Logarithms on Both Sides, and Inequalities with Logarithms on Both Sides.
the log function and the exponential function are inverses of each
Use this to solve
equations with the same base by equating the expressions
whose logarithms have been equated.
inequalities with the same base by applying the same
inequality to the expressions whose logarithms have been compared.
logarithmic equations or inequalities, always check for extraneous
solutions -- values which result in taking the logarithm of a
non-positive value in the original equation or inequality. Exclude
such values from the solution set.
Logarithms and Logarithmic Functions
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.