Practice with Logarithmic Functions
 Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


Solve the following problems dealing with logarithmic functions.
You may want to have your graphing calculator handy.

1.


The statement 

is equivalent to ...

 

 

Choose:





 

 

2.


Find the domain of
.

Choose:

all real numbers
 all positive real numbers
all reals greater than one
 all reals less than zero

 

 

3.


Find the range of .

 

Choose:




All Reals

 

 

4.


The statement

is equivalent to ...

 

Choose:





 

 

5.


The graph of

 

 

Choose:

intersects the x-axis
 intersects the y-axis
intersects both axes
 intersects neither axis


 

 

6.


Consider the graph of

with the limited domain  (0, 10].
What is the maximum value
of the function on this interval?

Choose:

1
 ln 2
ln 10
 10

 

 

7.


Which function is the inverse function of
 ?

Choose:

y = ex
 y = e-x
y = ln x-1
 y = log x

 

 

8.

The graph below shows the function
 
 Which statement must be true about b?

Choose:

b > 1
 0 < b < 1
b < 0
 b < -1



 

 

 

9.


Find the domain of

Choose:




 


 

10.


Given:

Find the value of
.

Choose:

-8
 -2
8
does not exist