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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 CMTH3513 AbdulsamadEbrahim
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
Logarithm functions • Definition of the logarithm function • If is any number such that >0 and and then Log base of
Logarithm functions (con.) • logarithm form • exponential form
Evaluate logarithms • Evaluate each of the following logarithms Example 1:-
Common logarithm and natural logarithm • common logarithm • natural logarithm • e= 2.718281827
Common logarithm and natural logarithm • Here is a table of values for the two logarithms
Common logarithm and natural logarithm • Here is a sketch of the graphs of these two functions
Example 2: Evaluate each of the following logarithms 1- 2- • =
Properties of logarithms 1- 2- 3- =x generalized out to 4- generalized out to
Properties of logarithms (con.) 5- 6- 7- If