 Practice with Logarithmic Expressions Terms of Use    Contact Person: Donna Roberts  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. Choose:
 5.455 4.966 2.369 1.784

4.
Using the properties of logs, write in complete expanded form: 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:  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:    8.
If ln 2 = 0.693, find ln .
(Do not use your calculator.) Choose:
 1.177 1.414 0.833 0.347

9.
Simplify: Choose:
 0.812 2.207 -0.208 -1.791

10.
The logarithmic expression can be rewritten as:

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