King Fahd University of Petroleum and Minerals

Faculty of Science Per-Year Math Program

Math 002 - Term 032

Sections (4.4 & 4.5)

 

Question1:

a)     Expand the logarithm:

b)    Write the logarithmic expression :

as a single logarithm.

 

 

Question2:

 

If and , then find the value of :

 

 

Question3:

 

Find the exact value of the following:

 

 

 

 

Question4:

 

Solve the following equations

 

 

Question5:

 

TRUE or FALSE

 

4) If , then

5) If and are real numbers, then

6) If and are real numbers, then

 

 

 

 

 

 

 

 

 

 

Question6:

 

Given .

 

a) Sketch the graph of

b) Find the intercept and the intercept of this graph

c) Determine the domain and range of

d) Find

 

Question7:

 

If , then