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Exponentials and Logarithms

Exponentials

Exponential functions are unique in that they have a variable for their exponent.  The natural exponential function e^x, where e is approximately 2.718, is found in many applications in biology and engineering.

Example: Review of Transformations of Functions Using the Exponential Function

Logarithmic Functions and Their Graphs

Example: Transformations of Exponentials and Logarithms and Their Graphs

Properties of Logarithms

Solving Exponential and Logarithmic Equations 

Graphs of the Basic Exponential and Logistic Functions

Exponential, Base 5

Picture

The Natural Exponential Function

Picture
Important points on the graph include, (0,1) and (1,e)

The Basic Logistic Function

Picture
f(x) = c/(1+ae^(-kx)) 
Important points on the graph include, (0, c/(1+a)) and horizontal asymptotes y = 0 and y = c.

    Questions

    If you have any questions or comments about the slide shows, please submit them here.  Do not submit problems, but submit questions you might have on any of the topics. 
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