In Logarithms and Logarithmic Functions, our instructor begins with restrictions and the written form of logs. Next up are log functions which have the same restrictions as exponential functions. You will also learn how to graph log functions as well as properties such as continuity, domain, range, asymptote of the y-axis, and the x-intercept. Next are the inverse property, how to deal with equations, and inequalities involving logs. Finally, you will end learning how to deal with logarithms on both sides of equations and inequalities. Four examples at the end make sure you can utilize the new concepts in real world problems.
Understand that the log function and the exponential function are inverses of each other.
Use this to solve problems.
Solve logarithmic equations with the same base by equating the expressions whose logarithms have been equated.
Solve logarithmic inequalities with the same base by applying the same inequality to the expressions whose logarithms have been compared.
In solving 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.