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Chapter 12

Exponents and Logarithms

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1

2

34

78

6

5

10

1211

9

1615

14

13

2019

18

17

23

22

21

2427

26

25

28

30

29

Agenda Get quiz back. Work review problems from the

board. (Turn them in at the end of class.)

Test tomorrow!!!!

1Solve.

52x = 59x + 7

x = -1

2Solve.

x = -2, 5

4 42 6 3 4x x

3Solve.

x = 1 6

161

643 2x

4Solve.

27x = 800

x = ?

5Solve.

logx 512 = 3

x = 8

6Solve.

log8 (3x - 6) = log8 (9x + 23)

x 29

6

7Solve.

log7 (x2 - 5) = log7 (59)

x 8

8Solve.

log9(x + 3) = log92x

x = ?

9 Solve. Round to 4 decimal places.

3x = 72

x = 3.8928

10Solve. Round to 4 decimal places.

7x = 23.4

x = 1.6202

11Solve. Round to 4 decimal places.

53x = 37

x = 0.7479

12Write in logarithmic form.

82 = 64

log8 64 = 2

13Write in logarithmic form.

93 = 729

log9 729 = 3

14Write in logarithmic form.

log4

1

643

41

643

15Write in logarithmic form.

65 = 7776

log6 7776 = 5

16Write in exponential form.

131

21973

log13

1

21973

17Write in exponential form.

log11 1331 = 3

113 = 1331

18Write in exponential form.

log5 625 = 4

54 = 625

19Write in exponential form.

81

642

log8

1

642

20Evaluate

log7

1

2401

-4

21Evaluate

log15 225

2

22Evaluate

log6 1296

4

23Expand

2(log3 27 + log3 x)

= 2log327 + 2log3x

log3 (27x)2

24Expand

logx

9log x – log 9

25Condense

logxy

z

3

3

log log logx y z 31

3

26Condense

log5 5a

1

225 5log log a

27Evaluate. Round to 4 decimal places.

log11 52

1.6478

28

log5 8.7

1.3441

Evaluate. Round to 4 decimal places.

29

log6 21.7

1.7175

Evaluate. Round to 4 decimal places.

30

log13 28.3

1.3033

Evaluate. Round to 4 decimal places.