Calculus on Demand at Dartmouth College Lecture 3 | Index | Lecture 5
Lecture 4


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In this lecture we will discuss exponential and logarithmic functions, and their graphs. These functions turn out be very useful in modeling growth of populations. They are central to formulas for compound interest in banking and in computing ages of objects using radioactive decay.


Quick Question

What is the relationship between the graphs of ex and ln(x)?


Answer

Outline

Outline for Exponential and Logarithmic Functions

Textbook

Exponential and Logarithmic Functions

Today's Homework

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Quiz

Exponential and Logarithmic Functions Quiz

Examples

  • Click to see the exampleFind the ground noise created by an airplane
  • Click to see the exampleFind the inverse of an exponential function
  • Click to see the exampleFind all solutions to the equation ln(x + 4) = 2ln(x) – ln(2)

Applets

  • Click to see the appletExponential Curves

Videos

  • click to see the videographs of ex and e(.5x)
  • click to see the videoIf e(2x +7) = 5, what is x?
  • click to see the videoGraphing ln x
  • click to see the videoIf ln(3x2) = 10 what is x?

Lecture 3 | Index | Lecture 5