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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
The Change of Base Formula
Use a calculator to approximate each to the nearest thousandth.
1) log
3
3.3 2) log
2
30
3) log
4
5 4) log
2
2.1
5) log 3.55 6) log
6
13
7) log
6
40 8) log
4
3.5
9) log
2
2.9 10) log
6
22
11) log
7
8.7 12) log
3
62
-1-
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Worksheet by Kuta Software LLC
13) log
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4 14) ln 94
15) log
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17) log
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194 18) ln 14.1
19) log
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10.818
21) log
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189 22) log
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23) log
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183 24) log
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2.6
Critical thinking question:
25) Show that log
8
1000 = log
2
10 algebraically.
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
The Change of Base Formula
Use a calculator to approximate each to the nearest thousandth.
1) log
3
3.3
1.087
2) log
2
30
4.907
3) log
4
5
1.161
4) log
2
2.1
1.07
5) log 3.55
0.55
6) log
6
13
1.432
7) log
6
40
2.059
8) log
4
3.5
0.904
9) log
2
2.9
1.536
10) log
6
22
1.725
11) log
7
8.7
1.112
12) log
3
62
3.757
-1-
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Worksheet by Kuta Software LLC
13) log
8
4
0.667
14) ln 94
4.543
15) log
2
8.7
3.121
16) log
9
71
1.94
17) log
13
194
2.054
18) ln 14.1
2.646
19) log
13
12.9
0.997
20) log
5
10.818
1.48
21) log
3
189
4.771
22) log
16
194
1.9
23) log
5
183
3.237
24) log
14
2.6
0.362
Critical thinking question:
25) Show that log
8
1000 = log
2
10 algebraically.
log
8
1000 =
log
2
1000
log
2
8
=
log
2
1000
3
= log
2
3
1000 = log
2
10
-2-
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