Ch 3 rev trashketball exp logs

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Trashketball Review

Chapter 3
Exponents and Logarithms

Trashketball
Review of ch 4
1 6 11 16 21 26 31
2 7 12 17 22 27 32
3 8 13 18 23 28 33
4 9 14 19 24 29 34
...

1
Solve.
52x = 59x + 7

x = -1

2
Solve.
2
x 6 3x 4
4 4
x = -2, 5

3
Solve.
3x 2 1
16
64
x=1
6

4
Solve.
27x = 800

x = 1.378

5
Solve.
logx 512 = 3

x=8

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

29
x
6

7
Solve.
log7 (x2 - 5) = log7 (59)

x 8

8
Solve.
log9(x + 3) = log92x

x=3

9
Solve. Round to 4 decimal places.

3x = 72

x = 3.8928

10
Solve. Round to 4 decimal places .

7x = 23.4

x = 1.6202

11
Solve. Round to 4 decimal places.
53x = 37

x = 0.7479

12
Write in logarithmic form.
82 = 64

log8 64 = 2

13
Write in logarithmic form.
93 = 729

log9 729 = 3

14
Solve for x.
log x = -2

10-2 = x
0.01 = x

15
Solve for x.
logx 4 = 12

x = 1.122

16
Write in exponential form.
1
log13 3
2197

3 1
...

17
Write in exponential form.
log11 1331 = 3

113 = 1331

18
Solve for x.

42x = 5x-1

x = -1.38

19
Solve for x.
42x - 5 · 4x - 14 = 0

x = 1.404

20
Evaluate
1
log 7
2401

-4

21
Evaluate
log15 225

2

22
Evaluate
log 6 1296

4

23
Expand
log3 (27x)2

2(log3 27 + log3 x)
= 2log327 + 2log3x

24
Expand
x
log
9
log x – log 9

25
Express as single logarithm
1
log x 3 log y log z
3
...

26
Express as single logarithm
1
log 25 5 log a
2
5
log5a

27
Evaluate. Round to 4 decimal places.
log11 52

1.6478

28
Evaluate. Round to 4 decimal places.
log5 8.7

1.3441

29
Evaluate. Round to 4 decimal places.
log6 21.7

1.7175

30
Evaluate. Round to 4 decimal places.
log13 28.3

1.3033

31
Solve
log(x+3) = 1 – log(x)

X=2

32
Solve

log(x+45) – log(x+5) = log x

X=5

33
If you invest some money at a
5.5% rate compounded
continuously, how long will it
take to double?
...

34
You invest $1500 at a 4.9% interest
rate compounded quarterly. How
much will you have in 3 years?

...

35

A certain city has a population of 4000
people in 1990 and 4500 people in 2000.
Find an exponential ...

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