1.6 Exponential and Logarithm Functions

By the end of your studying, you should know:
Onscreen applet instructions: There is a showandhide button for the natural log function. How are e^{x} and ln(x) related?
ExamplesThe ground noise created by an airplane taking off at time t = 0 is measured in decibels, and is given bywhere t is measured in seconds. How long will it be before the level of noise drops to 2 decibels?
Find the inverse of
Find all solutions to the equation ln(x + 4) = 2ln(x) – ln(2). AppletsComparing Exponential Functions
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 1.6 Exponential and Logarithm Functions (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
Exponentials and Logs

1.5 Trigonometric Functions  Table of Contents  1.7 Case Study: Modeling with Elementary Functions 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel