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.)