Quiz about Common Logarithms

Question 1

The common logarithm has what base?

Accepted Answer

10

Answer

0

Answer

e

Answer

-e

Question 2

The base of common log is 10. So log 100 = ?

Accepted Answer

2

Answer

1

Answer

10

Answer

50

Question 3

log1000

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 4

log₅25 = ?

Accepted Answer

2

Answer

5

Answer

125

Question 5

Evaluate.
log₃81

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 6

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 7

log 10 =

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 8

log 100 =

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 9

log 0.1 =

Accepted Answer

-1

Answer

-2

Answer

1

Answer

2

Question 10

log 100 - log 1000 =

Accepted Answer

-1

Answer

1

Answer

2

Answer

-2

Question 11

log 1000 - log 0.01 =

Accepted Answer

5

Answer

2

Answer

3

Answer

4

Question 12

log (1/10) =

Accepted Answer

-1

Answer

-2

Answer

1

Answer

2

Question 13

log (1/1000) =

Accepted Answer

-3

Answer

-2

Answer

-1

Answer

3

Question 14

log 100 + log 0.1 =

Accepted Answer

1

Answer

100.1

Answer

3

Answer

2

Question 15

log 100³ =

Accepted Answer

6

Answer

3

Answer

4

Answer

5

Question 16

log 10^(1/2) =

Accepted Answer

1/2

Answer

1/3

Answer

1

Answer

2

Question 17

log (1/100) - log (1/1000)

Accepted Answer

1

Answer

-2

Answer

-1

Answer

2

Question 18

log 100000 =

Accepted Answer

5

Answer

6

Answer

4

Answer

3

Question 19

log 1 =

Accepted Answer

0

Answer

-2

Answer

-1

Answer

1

Question 20

log 1000 + log 0.1 - log 0.01 =

Accepted Answer

4

Answer

0

Answer

2

Answer

3

Question 21

Use a calculator to evaluate log 6

Accepted Answer

.7781

Answer

-1.30

Answer

-1.25

Answer

.80

Question 22

Use a calculator to evaluate log 25

Accepted Answer

1.397

Answer

1.598

Answer

-1.397

Answer

.80

Question 23

Rewrite as an exponential:
log(10,000)=4.

Accepted Answer

10⁴=10,000

Answer

e⁴=10,000

Answer

4^10,000=10

Answer

04=10

Question 24

Rewrite log₂8 = 3 in exponential form/

Accepted Answer

23 = 8

Answer

28 = 3

Answer

32 = 8

Answer

83 = 2

Question 25

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 26

Classify the following graph.

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Logarithmic

Question 27

Classify the following graph.

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Logarithmic

Question 28

Change to Exponential Form:
log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 29

(-151)0

Accepted Answer

1

Answer

0

Answer

-151

Answer

151

Question 30

Does this graph represent exponential growth or decay?

Accepted Answer

Growth

Answer

Decay

Question 31

If 10 mg of iodine 131 is given to a patient, how much is left after 24 days? The half-life of iodine-131 is 8 days.

Accepted Answer

1.25mg

Answer

1.25g

Answer

10g

Answer

10mg

Question 32

If the half-life of uranium-232 is 70 years, how many half-lives will it take for 10 g of it to be reduced to 1.25 g?

Accepted Answer

3 half-lives

Answer

1 half-life

Answer

2 half-lives

Answer

4 half-lives

Question 33

If f(x) = 2x-9, what is f(3)?

Accepted Answer

-3

Answer

6

Answer

3

Answer

-6

Question 34

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 35

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 36

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

Accepted Answer

70(2)5

Answer

70(2)35

Answer

2(70)5

Answer

5(70)2

Question 37

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

Accepted Answer

9766

Answer

9006

Answer

9765

Answer

5433

Question 38

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 39

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 40

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 41

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

Accepted Answer

1.16

Answer

300

Answer

.16

Answer

x

Question 42

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

Accepted Answer

800

Answer

0.85

Answer

0.15

Answer

x

Question 43

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation?

Accepted Answer

y=78(0.5)^x

Answer

y=78(1.5)^x

Answer

y=78(2)x

Question 44

A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?

Accepted Answer

1.22 grams

Answer

13 grams

Answer

6.5 grams

Answer

592.31 grams

Question 45

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 46

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

Accepted Answer

$424,527.63

Answer

$176,783.29

Answer

$57,357.75

Answer

$532,041,076.80

Question 47

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Accepted Answer

4309

Answer

14327

Answer

839

Answer

7680

Question 48

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the percentage increase of the population annually?

Accepted Answer

2.2%

Answer

720,500%

Answer

102.2%

Answer

22%

Question 49

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the was the population of Brownville in 1980?

Accepted Answer

720,500 people

Answer

102.2 people

Answer

1.022 people

Answer

1022 people

Question 50

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your growth rate, b?

Accepted Answer

.95

Answer

-5

Answer

-.05

Answer

.05

Question 51

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. Approximately what would the population be after a year and a half?

Accepted Answer

874 beetles

Answer

5295 beetles

Answer

8.38E-21 beetles

Answer

2037 beetles

Common Logarithms

58 questions

The common logarithm has what base?

True or False: log₈64=2

The base of common log is 10. So log 100 = ?

log1000

log₅25 = ?

Evaluate.
log₃81

Logarithmic functions are the inverse of...

log 10 =

log 100 =

log 0.1 =

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Common Logarithms

58 questions

The common logarithm has what base?

True or False: log₈64=2

The base of common log is 10. So log 100 = ?

log1000

log525 = ?

Evaluate.log381

Logarithmic functions are the inverse of...

log 10 =

log 100 =

log 0.1 =

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log₅25 = ?

Evaluate.
log₃81