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