Practice Page
Directions: Read carefully. Choose the best answers. Answers are expressed to 3 decimal places when needed.

1.
The expression log9 81 is equivalent to ...  

Choose:
 
9
2
1/2
1/9

 

 

2.
Write 45 = 1024 in logarithmic form.
 

Choose:
 
log4 5 = 1024
log4 1024 = 5
 
log5 1024 = 4
log10 1024 = 4

 

 

3.
Calculate: log3 234.
earlogs
Choose:
 
5.455
 
4.966
 
2.369
 
1.784

 

 

4.
Using the properties of logs, write in complete expanded form:

log4

Choose:
 
log(2xy) - log(z3)
 
2log x + log y - 3log z
 
log 2 + log x + log y - 3log z
 
log (2xy) + log(z3)



5.
Calculate: log6
logcartoon
Choose:
 
1
 
2/3
 
log31
 
none of the above

 

 

6.
Write in expanded form: ln[(x - 4)(2x + 5)2]
 

Choose:
 
2ln(x - 4) + 2ln(x + 5)
 
ln(x - 4) + 2ln(2x + 5)
 
2[ln(x - 4) + ln(2x + 5)]
 
2ln(x - 4) - 2ln(2x + 5)

 

 

7.
Write in condensed form (as a single logarithm):
3log5a + log5b - 2log5c
 

Choose:
 
log7a
log7b
 
log7c
log7

 

 

8.
If ln 2 = 0.693, find lnrad2.
(Do not use your calculator.)
nocalc

Choose:
 
1.1772
1.414
 
0.8325
0.3465

 

 

9.
Simplify: log8

Choose:
 
0.812
2.207
-0.208
-1.791

 

 

10.
The logarithmic expression log10can be rewritten as:
 

Choose:
 
log10c
log10d
 
log10b
log10a



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