Change Of Base Formula

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