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Base 'e' and Natural Logarithms
IX. Exponential and Logarithmic Relations: Lecture 5 | 19:52 min
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.
QuickNotes™ 
Base 'e' and Natural Logarithms
To solve 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.
Discussion 
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Carleen Eaton
Grant Fraser

