Spc Exp And Log Worksheet
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1
2Scholarship Precalculus
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Logs and Exponentials Worksheet
(3.1 – 3.3)
Convert each exponential into its logarithmic form:
4
1
1
1
3
5
1.
2.
3.
9
729
2
32
2
16
Convert each log into its exponential form:
4.
log 100 2
5.
log 64 6
6. log
z
y
10
2
x
Evaluate each log.
1
7.
log 8
8.
log 8
9.
log
2
4
3
9
Use the properties of logs to expand each logarithm.
6
x
3
10.
log
11.
ln
3 3
xy
x
Use the properties of logs to condense each of the following to one logarithm.
1
1
12.
ln
x
ln
y
13.
log
x
4
7log
y
8
8
4
3
Evaluate each of the following. Use properties of logs to combine into one log and then convert into
exponential form. Do not use calculators! Show your work!
14.
log 45 log 6 log 10
15.
log 4 2log 3
3
3
3
6
6
1
log 144 2log 6
16.
17.
2 log 20 log 5
3
3
2
2
2
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