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Power Point Project

  1. 1. A Virtual Tour of Logarithms An interactive presentation by: Luke Hagan
  2. 2. Logarithms <ul><li>Function Family Form </li></ul><ul><li>Properties of Logs </li></ul><ul><li>Applications of Logs </li></ul><ul><li>The Graph and Table of a Logarithm </li></ul><ul><li>About the Author </li></ul><ul><li>Resources </li></ul><ul><li>Concept Map </li></ul>
  3. 3. Function Family Forms <ul><li>Logarithms come in few forms. </li></ul><ul><li>You will know a function is logarithmic if you see a variable inside of the log operator. </li></ul>Quit
  4. 4. Basic Properties of Logs <ul><li>Every positive base Log of it’s base is 1. </li></ul><ul><li>Every positive base Log of 1 has an output of 0. </li></ul><ul><li>Every positive base Log is undefined for numbers less than or equal to 0 </li></ul>Quit
  5. 5. More Properties of Logs <ul><li>Power Rule </li></ul><ul><li>Product Rule </li></ul><ul><li>Quotient Rule </li></ul>Quit
  6. 6. More Properties of Logs <ul><li>The Inverse of a logarithm </li></ul>Quit
  7. 7. The Graph of a Logarithm Quit
  8. 8. The Table of a Logarithm Quit 0.699… 5 0.602… 4 0.477… 3 0.301… 2 0 1 Undefined 0 Y X
  9. 9. Applications of Logs <ul><li>Logarithms are useful for large scale things. </li></ul><ul><li>How powerful sound waves and earthquakes can get are measured using logarithmic scale. </li></ul><ul><li>The distance from objects further and further away from earth are also measured with Logs and Exponential functions. </li></ul>Quit Click Here to view a video on Logarithmic & Exponential scale
  10. 10. About Luke Hagan <ul><li>If you want to contact me you can email me at </li></ul><ul><li>[email_address] </li></ul>Quit
  11. 11. Resources <ul><li>Original Properties of logarithms: http://www.math.unc.edu/Faculty/mccombs/web/alg/classnotes/logs/logprops.html </li></ul><ul><li>Video from Youtube: http:// www.youtube.com/watch?v =Vs5doooe2VY </li></ul>Quit
  12. 12. Quit Concept Map
  13. 13. From Milky Way to Quarks Back to Previous Slide The size of the picture changes logarithmically Click Here to Watch Quit

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