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