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Mathematics for Information Technology

Mathematics for Information Technology. CMTH3513 Abdulsamad Ebrahim. Exponential and logarithm functions. Important and need to be understood by anyone who is going on to later math courses These functions also have applications in science, engineering, and business

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Mathematics for Information Technology

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  1. Mathematics for Information Technology CMTH3513 AbdulsamadEbrahim

  2. Exponential and logarithm functions • Important and need to be understood by anyone who is going on to later math courses • These functions also have applications in science, engineering, and business • They are different from other functions

  3. Logarithm functions • Definition of the logarithm function • If is any number such that >0 and and then Log base of

  4. Logarithm functions (con.) • logarithm form • exponential form

  5. Evaluate logarithms • Evaluate each of the following logarithms Example 1:-

  6. Evaluate logarithms (con.)

  7. Common logarithm and natural logarithm • common logarithm • natural logarithm • e= 2.718281827

  8. Common logarithm and natural logarithm • Here is a table of values for the two logarithms

  9. Common logarithm and natural logarithm • Here is a sketch of the graphs of these two functions

  10. Example 2: Evaluate each of the following logarithms 1- 2- • =

  11. Properties of logarithms 1- 2- 3- =x generalized out to 4- generalized out to

  12. Properties of logarithms (con.) 5- 6- 7- If

  13. Properties of logarithms (con.)

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