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Name: ________________________ Class: ___________________ Date: __________
05-08 Sample Quiz - Solve Logarithmic Equations and Inequalities
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. Solve the logarithmic equation.
a.
c.
b.
d.
No Solution
2. Find the approximate value of x that makes the following statement true:
log 4 x  3
a.
x  64
c.
b.
x  12
d.
3
log(4)
x  81
x
____
3. Find the approximate value of x that makes the following statement true: log 5 (3x  9)  2
22
1
a. x 
c. x 
3
3
16
34
b. x 
d. x 
3
3
____
4. Find the approximate value of x that makes the following statement true: log 2 (x )  log 2 (2)  4
a. x  2
c. x  4
b. x  16
d. x  8
____
5. Find the approximate value of x that makes the following statement true:
ln (x  2)  3  2
a.
b.
____
x  e2  1
x  2e 2  3
c.
d.
x  e5  2
x  5e  2
6. Which graph shows the set of all possible values of x that makes the following statement true?
log 3 (x  1 )  2
a.
c.
b.
d.
1
ID: A
Name: ________________________
ID: A
Completion
Complete each statement.
7. Solve the following equation for x:
ln (3x  3)  ln (5x  9)
8. Solve the following equation for x:
log 3 (5x  1)  4
2