In this lecture you will cover Base 'e' and Natural Logarithms. Professor Fraser will begin with an overview of the Number 'e' starting with Natural Base, Euler, Natural Exponential Function, Natural Log Function, and Growth/Decay. Then you will diver further into Natural Logarithms and their Graphs, before finishing with Equations and Inequalities with Natural Logarithms.
exponential equations or inequalities involving base e, take the
natural log (ln) of both sides.
To solve natural
log equations or inequalities, write each side as a power of e.
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.
Base 'e' and Natural Logarithms
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.