Quiz about Logs! Logs! Logs!

Question 1

Change to Exponential Form:

log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 2

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 3

Evaluate on calculator log₄1 =

Accepted Answer

0

Answer

1

Answer

4

Answer

1.4

Question 4

Change y = a^xinto log form.

Accepted Answer

x = logay

Answer

y = logax

Answer

x = logya

Answer

y = log a

Question 5

Write in logarithmic form.
5² = 25

Accepted Answer

log₅25 = 2

Answer

log₅2 = 25

Answer

log₂25 = 5

Answer

log₂₅5 = 2

Question 6

Convert to exponential form and solve for x:

log₂(x + 5) = 3

Accepted Answer

3

Answer

4

Answer

5

Answer

6

Question 7

Solve:
3^x-1 = 81

Accepted Answer

5

Answer

6

Answer

9

Answer

10

Question 8

Evaluate the log on calculator:

log₃(1/9) =

Accepted Answer

-2

Answer

1/2

Answer

2

Answer

3

Question 9

Solve log₅(4x-7)=log₅(x+5)

Accepted Answer

4

Answer

3

Answer

12

Answer

7

Question 10

Solve: log₅(x+7)=log₅(2x+3)

Accepted Answer

x=4

Answer

x=5

Answer

x=10/3

Answer

x=-4

Question 11

Solve: 7^2x+6=49

Accepted Answer

x=-2

Answer

x=2

Answer

x=0

Answer

x=-4

Question 12

log (x) + log (x) = log (25)

Accepted Answer

5

Answer

-5, 5

Answer

-5

Answer

25

Question 13

Write as a single log: log 12 + 2 log x

Accepted Answer

log (12x²)

Answer

log (12 + 2x)

Answer

log (14x)

Answer

log (12 * 2x)

Question 14

Simplify into a single logarithm

6 log₈ x - 3 log₈ y

Accepted Answer

log₈(x⁶/y³)

Answer

log₈(x⁶)/log₈(y³)

Answer

log₈(x/y³)

Answer

log₈(x⁶y³)

Question 15

What kind of function is this graph?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

Cubic

Question 16

log 2 + log 3

Accepted Answer

log 6

Answer

log 5

Answer

log 2/3

Answer

log 1

Question 17

log 2 - log 3

Accepted Answer

log (2/3)

Answer

log 2 / log 3

Answer

log -1

Answer

log 6

Question 18

log 32 =?

Accepted Answer

2 log 3

Answer

log 6

Answer

log2 3

Answer

log3 2

Question 19

Change to Logarithmic Form:
12² = 144

Accepted Answer

log₁₂ 144 = 2

Answer

log₂ 144 = 12

Answer

log ₁₂ 2 = 144

Answer

log ₂ 12 = 144

Question 20

Simplify into a single logarithm: log₂6+log₂3=

Accepted Answer

log218

Answer

log₂2 = 1

Answer

log23

Answer

log29

Question 21

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?

Accepted Answer

19 to 20 hours

Answer

10 to 20 hours

Answer

15 to 16 hours

Answer

5 to 6 hours

Question 22

Which equation matches this situation? You put $15 in a savings account that earns 35% interest

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 23

Rewrite log₂31 as base 10 using the change of base rule.

Accepted Answer

log 31 / log 2

Answer

log 2 / log 31

Answer

log 2/31

Answer

log 31/ 2

Question 24

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 25

Rewrite 4²= x in log form

Accepted Answer

log₄ x = 2

Answer

log_x 4 = 2

Answer

log₄ 2 = x

Answer

log₂x = 4

Question 26

What is the asymptote of y = 2^x ?

Accepted Answer

y = 0

Answer

x = 0

Question 27

What is the asymptote of y = 2^x - 3

Accepted Answer

y = -3

Answer

y = 0

Answer

x = 0

Answer

x = -3

Question 28

What is the asymptote of y = log₂x ?

Accepted Answer

x = 0

Answer

y = 0

Question 29

What is the asymptote of y = log₂x - 3

Accepted Answer

x = 0

Answer

y = 0

Answer

y = -3

Answer

x = -3

Question 30

The asymptote of y = 2^x + 4 will shift...

Accepted Answer

up four to y = 4

Answer

down four to y = -4

Answer

not shift at all and remain y = 0

Question 31

The asymptote of y = log₂(x + 2) will shift...

Accepted Answer

left two to x = -2

Answer

right two to x = 2

Answer

not shift and remain x = 0

Question 32

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

Accepted Answer

29 to 30 years

Answer

23 to 24years

Answer

15 to 16 years

Answer

19 to 20 years

Question 33

There are 4,000 mosquitoes at the beginning of the summer. 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 34

You buy a new computer for $2100. The computer depreciates in value by 50% annually. How much is it worth after 2 years.

Accepted Answer

525

Answer

225

Answer

325

Answer

425

Question 35

Which of the following is the sketch of the graph of y = -log₃ (x+5) ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 36

log₇z+log₇b

Accepted Answer

log₇(z*b)

Answer

logz*b(7)

Answer

logz(b*7)

Answer

logb(z*7)

Question 37

Condense: log16 + log2 - log8

Accepted Answer

log4

Answer

log8

Answer

log10

Answer

log24

Question 38

Solve for x: log₃(x+4) = log₃(5x)

Accepted Answer

x=1

Answer

x=5

Answer

x=4

Answer

x=3

Question 39

The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year. This growth can be expressed by the exponential equation P = 3400(1+.03)^x, where P is the population after t years. Find the number of years it will take for the population to reach 10,000?

Accepted Answer

36 years

Answer

20 years

Answer

26 years

Answer

30 years

Question 40

Question 40.

Accepted Answer

log₅(x²z²y¹⁰)

Answer

log₅(z²y²x¹⁰)

Answer

log(zy²x¹⁰)

Answer

log₅(z² + y²+ x¹⁰)

Question 41

Condense

Accepted Answer

logxyz3

Answer

log(xy/z³)

Answer

logx+logy+logz³

Answer

logx³y³z³

Question 42

Condense

Accepted Answer

log₈(x⁶/y³)

Answer

log₈(x⁶)/log₈(y³)

Answer

log₈(x/y³)

Answer

log₈(x⁶y³)

Question 43

Solve: 9^8-x = 27^x-3

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 44

Solve for n:
2³ⁿ = 4

Accepted Answer

2/3

Answer

2

Answer

3

Answer

4

Question 45

Use the change of base rule to rewrite this problem:

log₃64

Accepted Answer

log(64)/log(3)

Answer

log(3)/log(64)

Question 46

Use the change of base rule to rewrite this problem:

log₅75

Accepted Answer

log(75)/log(5)

Answer

log(5)/log(75)

Question 47

Use the change of base rule to rewrite this problem:

log₆216

Accepted Answer

log(216)/log(6)

Answer

log(6)/log(216)

Question 48

Use the change of base rule to rewrite this problem:

log₇729

Accepted Answer

log(729)/log(7)

Answer

log(7)/log(729)

Question 49

Use the change of base rule to rewrite this problem:

log₂16

Accepted Answer

log(16)/log(2)

Answer

log(2)/log(16)

Question 50

Use the change of base rule to rewrite this problem:

log₈64

Accepted Answer

log(64)/log(8)

Answer

log(8)/log(64)

Question 51

Use the change of base rule to rewrite this problem:

log₅625

Accepted Answer

log(625)/log(5)

Answer

log(5)/log(625)

Question 52

Solve the equation for x.

Accepted Answer

32

Answer

25

Answer

1.66

Answer

512

Question 53

Who is playing in this year's Superbowl?

Accepted Answer

Chiefs vs 49ers

Answer

Chiefs vs Eagles

Answer

Chiefs vs Patriots

Answer

Chiefs vs Titans

Question 54

Who is performing in this year's Superbowl Half Time show?

Accepted Answer

J Lo

Answer

Bruno Mars

Answer

Maroon 5

Answer

Beyonce

Question 55

What number is this year's Superbowl?

Accepted Answer

Super Bowl LIV

Answer

Super Bowl LI

Answer

Super Bowl L

Answer

Super Bowl LV

Question 56

What city will the Super Bowl be held in?

Accepted Answer

Miami, FA

Answer

Atlanta, GA

Answer

Denver, CO

Answer

New Orleans, LA

Question 57

What number is this year's Superbowl?

Accepted Answer

Super Bowl LIV

Answer

Super Bowl LI

Answer

Super Bowl L

Answer

Super Bowl LV

Question 58

How many seats are there at arrowhead stadium?

Accepted Answer

76,000

Answer

500000000

Answer

4

Answer

100

Question 59

How many touchdowns did Patrick Mahomes have in the 2018-19 season?

Accepted Answer

50

Answer

34

Answer

29

Answer

11

Question 60

How many reviving yards did Travis Kelce have in the 2018-19 season ?

Accepted Answer

1,336

Answer

1,189

Answer

987

Answer

1,354

Logs! Logs! Logs!

66 questions

Change to Exponential Form:
log₆36 = 2

Rewrite 3⁴ = 81 in logarithmic form.

Evaluate on calculator log₄1 =

Change y = a^xinto log form.

Write in logarithmic form.
5² = 25

Convert to exponential form and solve for x:
log₂(x + 5) = 3

Solve:
3^x-1 = 81

Solve:
_{log (4x − 5) = log (2x − 1)}

Evaluate the log on calculator:
log₃(1/9) =

Solve log₅(4x-7)=log₅(x+5)

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Logs! Logs! Logs!

66 questions

Change to Exponential Form:log636 = 2

Rewrite 34 = 81 in logarithmic form.

Evaluate on calculator log41 =

Change y = ax into log form.

Write in logarithmic form.52 = 25

Convert to exponential form and solve for x: log2(x + 5) = 3

Solve:3x-1 = 81

Solve:log (4x − 5) = log (2x − 1)

Evaluate the log on calculator:log3(1/9) =

Solve log5(4x-7)=log5(x+5)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Change to Exponential Form:
log₆36 = 2

Rewrite 3⁴ = 81 in logarithmic form.

Evaluate on calculator log₄1 =

Change y = a^xinto log form.

Write in logarithmic form.
5² = 25

Convert to exponential form and solve for x:
log₂(x + 5) = 3

Solve:
3^x-1 = 81

Solve:
_{log (4x − 5) = log (2x − 1)}

Evaluate the log on calculator:
log₃(1/9) =

Solve log₅(4x-7)=log₅(x+5)