Quiz about Unit 4 Exponential and Logarithmic Functions Review

Question 1

Find the equation of the model of best fit for the set of data:

Accepted Answer

f(x) = 0.75x² + 0.45x + 1.95

Answer

f(x) = 2.7x + 1.2

Answer

f(x) = x² + 2

Answer

f(x) = 1.9(1.74)^x

Question 2

Express in logarithmic form: 1024 = 4⁵

Accepted Answer

log₄(1024) = 5

Answer

log₅(4) = 1024

Answer

log₅(1024) = 4

Answer

log₄(5) = 1024

Question 3

Expand:

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

Solve for x:

2(3)^x+1 = 36

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 5

Solve for x: log₉(x-5) + log₉(x+3) = 1.

Accepted Answer

x = 6

Answer

x = 2

Answer

x = 4

Answer

x = 9

Question 6

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

Accepted Answer

Horizontal shift left one unit

Answer

Horizontal shift right one unit

Answer

Vertical shift up one unit

Answer

Vertical shift down one unit

Question 7

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

Accepted Answer

Vertical shift one unit up

Answer

Horizontal Shift to the right 1 unit

Answer

Horizontal shift to the left one unit

Answer

Vertical shift one unit down

Question 8

What are the transformations of this graph?

Accepted Answer

Right 1 Up 5

Answer

Right 1 Down 5

Answer

Left 1 Up 5

Answer

Left 1 Down 5

Question 9

Which graph is exponential decay

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 10

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 11

Write in logarithmic form.
5² = 25

Accepted Answer

log₅25 = 2

Answer

log₅2 = 25

Answer

log₂25 = 5

Answer

log₂₅5 = 2

Question 12

Write in exponential form.
log₂32 = 5

Accepted Answer

25 = 32

Answer

2-5 = 32

Answer

232 = 5

Answer

325 = 2

Question 13

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 14

Write in logarithmic form.
5² = 25

Accepted Answer

log₅25 = 2

Answer

log₅2 = 25

Answer

log₂25 = 5

Answer

log₂₅5 = 2

Question 15

Evaluate.
log₃81

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 16

Write in exponential form.
log₂32 = 5

Accepted Answer

25 = 32

Answer

2-5 = 32

Answer

232 = 5

Answer

325 = 2

Question 17

log41 =

Accepted Answer

0

Answer

1

Answer

4

Answer

DNE

Question 18

Evaluate log₅20 to the third decimal place

Accepted Answer

1.861

Answer

0.537

Answer

2.996

Answer

1.301

Question 19

Evaluate:
log₄16

Accepted Answer

2

Answer

4

Answer

1/2

Answer

-2

Question 20

Rewrite log_pt = m in exponential form.

Accepted Answer

pm = t

Answer

pt = m

Answer

tm = p

Answer

mt = p

Question 21

ln(eW)

Accepted Answer

W

Answer

e

Answer

eW

Answer

undefined

Question 22

eln(f)

Accepted Answer

f

Answer

e

Answer

ef

Answer

undefined

Question 23

Expand

Accepted Answer

6log₈u-2log₈v

Answer

6log₈v-2log₈u

Answer

3log₈u-2log₈v

Answer

6log₈u+2log₈v

Question 24

(logA) / (logB) = logA - logB

Accepted Answer

False

Answer

True

Question 25

Use multiple log properties to write as a single log:
3log₂x - log₂y + log₂z

Accepted Answer

log₂(x³z/y)

Answer

log₂(x/(yz))

Answer

log₂(x³yz)

Answer

log₂(x³/(yz))

Question 26

Expand completely: log(2x⁵)

Accepted Answer

log 2 + 5log x

Answer

5log 2 + 5log x

Answer

5log 2 + log x

Answer

log 10 + log x

Question 27

Classify the given graph.

Accepted Answer

exponential growth

Answer

exponential decay

Answer

positive linear

Answer

negative linear

Question 28

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 29

Rewrite in exponential form:
ln(2) = x

Accepted Answer

ex = 2

Answer

2x = 10

Answer

102 = x

Answer

e2 = x

Question 30

Solve for x:
log_x25 = 2

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 31

Solve for x:
2^x+6=2⁵

Accepted Answer

-1

Answer

11

Answer

1

Answer

-11

Question 32

Solve for n:
2³ⁿ = 4

Accepted Answer

2/3

Answer

2

Answer

3

Answer

4

Question 33

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

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 34

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

Accepted Answer

x = 3

Answer

x = 2

Answer

x = -1

Answer

No Solution

Question 35

Change the following into exponential form: log _y x = r

Accepted Answer

y r= x

Answer

y x = r

Answer

x y = r

Answer

r y = x

Question 36

A grey squirrel population was introduced in a certain county of Great Britain 30 years ago. Biologist observe that the population doubles every 6 years, and now the population is 100,000. How long will it take for the squirrel population to reach 1,000,000? Estimate to the nearest year.

Accepted Answer

20 years

Answer

25 years

Answer

15 years

Answer

30 years

Question 37

Radium-221 has a half-life of 30 seconds. How long will it take for 95% of a sample to decay? Round to the nearest second.

Accepted Answer

130 seconds

Answer

120 seconds

Answer

150 seconds

Answer

140 seconds

Question 38

4^{3x + 5} = 16

Accepted Answer

-1

Answer

-5/3

Answer

-3/2

Answer

2/3

Question 39

Solve log₅ (x + 3) = log₅ x + log₅ 3

Accepted Answer

3/2

Answer

9/2

Answer

2/3

Answer

No Solution

Question 40

Solve log₂ (x² - 1) = 3 + log₂ (x - 1)

Accepted Answer

7

Answer

4

Answer

2

Answer

1

Question 41

Solve log₉ (x - 4) + log₉ (x + 1) = log₉ (x + 5) + log₉ (x - 6)

Accepted Answer

13

Answer

17/2

Answer

-9/16

Answer

-8

Question 42

Solve ln (x - 2) - ln (3x) = 0

Accepted Answer

-1

Answer

2

Answer

e

Answer

e5

Question 43

In the compound interest formula A=P(1+r)^t what does the A stand for?

Accepted Answer

The total amount

Answer

The amount of interest

Answer

The interest rate

Answer

The time

Question 44

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

Accepted Answer

$565.70

Answer

$262609.38

Answer

$65.70

Answer

$630.20

Question 45

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

Accepted Answer

$12,749.30

Answer

$12712.31

Answer

$12,657.59

Answer

$12550.84

Question 46

Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?

Accepted Answer

$2708.63

Answer

$2201.25

Answer

$2694.55

Answer

$2707.45

Question 47

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

Accepted Answer

$2,225.54

Answer

$1,225,54

Answer

$22,255.40

Answer

$225.54

Unit 4 Exponential and Logarithmic Functions Review

51 questions

Find the equation of the model of best fit for the set of data:

Express in logarithmic form: 1024 = 4⁵

Expand:

Solve for x:
2(3)^x+1 = 36

Solve for x: log₉(x-5) + log₉(x+3) = 1.

What is the equation that represents the exponential function in the image below?

Which graph best represents the following logarithmic function?
$y=\log_4x$

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

What are the transformations of this graph?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Unit 4 Exponential and Logarithmic Functions Review

51 questions

Find the equation of the model of best fit for the set of data:

Express in logarithmic form: 1024 = 45

Expand:

Solve for x: 2(3)x+1 = 36

Solve for x: log9(x-5) + log9(x+3) = 1.

What is the equation that represents the exponential function in the image below?

Which graph best represents the following logarithmic function? y=log⁡4xy=\log_4xy=log4​x

Using the parent function y=3x what would the graph of y=3x+1 look like?

Using the parent function y=3x what would the graph of y=3x+1 look like?

What are the transformations of this graph?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Express in logarithmic form: 1024 = 4⁵

Solve for x:
2(3)^x+1 = 36

Solve for x: log₉(x-5) + log₉(x+3) = 1.

Which graph best represents the following logarithmic function?
$y=\log_4x$

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

Using the parent function y=3^x what would the graph of y=3^x+1 look like?