Mathematics for Information Technology
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Transcript of 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
• 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:-
Evaluate logarithms (con.)
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
Properties of logarithms (con.)