Quiz about Exponential and Log Test

Question 1

What is the domain of y=2^x?

Accepted Answer

x=all real numbers

Answer

x>0

Answer

y>0

Answer

y=all real numbers

Question 2

What is the range of y=2^x?

Accepted Answer

y>0

Answer

x>0

Answer

x=all real numbers

Answer

y=all real numbers

Question 3

Where is the asymptote of y=2^x?

Accepted Answer

y=0

Answer

x=0

Answer

y=2

Answer

There isn't one

Question 4

Classify the following graph.

Accepted Answer

Logarithmic

Answer

Exponential Growth

Answer

Exponential Decay

Question 5

Which has a vertical asymptote?

Accepted Answer

Logarithmic

Answer

Exponential

Answer

Both

Question 6

What is the asymptote of this function:
f(x) = 2^x-1+ 3

Accepted Answer

y = 3

Answer

x = 1

Answer

x = -1

Answer

y = - 3

Question 7

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 8

log₅25 = ?

Accepted Answer

2

Answer

5

Answer

125

Answer

10

Question 9

Rewrite log₂8 = 3 in exponential form.

Accepted Answer

23 = 8

Answer

28 = 3

Answer

32 = 8

Answer

83 = 2

Question 10

Solve for x:
8^x+1= 3

Accepted Answer

-0.472

Answer

0.528

Answer

0.893

Answer

1.893

Question 11

Solve for x:
5 e^6x+3= 0.1

Accepted Answer

-1.152

Answer

0.232

Answer

-3.077

Answer

-0.854

Question 12

Expand.

Accepted Answer

1/3 log x + 1/3 log y + 1/3 log z

Answer

1/3 log x + log y + log z

Answer

1/3 log x - 1/3 log y - 1/3 log z

Answer

3 log x + 3 log y + 3 log z

Question 13

Solve for x:
9^2x-4 = 27^x-1

Accepted Answer

5

Answer

4

Answer

1

Answer

-1

Question 14

Rewrite as a single log:
log 5 + log 7

Accepted Answer

log 35

Answer

log 12

Answer

log -2

Answer

undefined

Question 15

Rewrite using log rules:
log₄x²

Accepted Answer

2log4x

Answer

log₄ + logx²

Answer

log4/logx²

Answer

log4x2

Question 16

Write as a single log:
log 12 - log 2

Accepted Answer

log 6

Answer

log 10

Answer

0

Answer

2

Question 17

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 18

What is the base of log(x) = 100?

Accepted Answer

10

Answer

1

Answer

x

Answer

100

Question 19

What is the base of the natural logarithm?

Accepted Answer

e

Answer

1

Answer

10

Answer

n/a

Question 20

Solve log(x) + log(x-1) = log(3x+12)

Accepted Answer

x = -2, 6

Answer

x = -3, 4

Answer

x = -4, 3

Answer

x = -6, 2

Question 21

True or False? (log a)(log b) = log(a + b)

Accepted Answer

True

Answer

False

Question 22

log₂(x + 2) + log₂x = 3

Accepted Answer

2 ;  -4 is extraneous

Answer

-4, 2

Answer

-2, 4

Answer

1 ; -3 is extraneous

Question 23

Write the equation log₁₂144 = 2 in exponential form.

Accepted Answer

122 = 144

Answer

1442 = 12

Answer

2¹² = 144

Answer

144¹² = 2

Question 24

Solve log₆10 + log₆x = log₆40

Accepted Answer

4

Answer

180

Answer

5

Answer

30

Question 25

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 26

Expand
ln(xy²z³)

Accepted Answer

lnx + 2lny + 3lnz

Answer

6(lnx + lny - lnz)

Answer

lnx + 2lny - 3lnz

Answer

lnx + (1/2)lny + (1/3)lnz

Question 27

Solve for x.
e^x+6 - 5 = 1

Accepted Answer

-4.208

Answer

-4.614

Answer

No Solution

Answer

-0.334

Question 28

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

Accepted Answer

Horizontal shift to the left one unit

Answer

Horizontal Shift to the right 1 unit

Answer

Vertical shift one unit up

Answer

Vertical shift one unit down

Question 29

What is the y-intercept for the function:
f(x) = 4(2)^x

Accepted Answer

B 4

Answer

A 2

Answer

C 0

Answer

D 8

Question 30

Solve the following equation. Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12

Accepted Answer

x = -4.97

Answer

x = 2.20

Answer

x = 1.68

Answer

x = -5.00

Question 31

An investment earning 7.5% annually can be evaluated after t years, using

$$A\left(t\right)=\ A_ne^{0.075t}$$

When will a $2,000 investment be valued at $2800?

Accepted Answer

Approximately 4.5 years

Answer

Approximately 3.5 years

Answer

Approximately 12 years

Answer

Approximately 2.5 years

Question 32

How long will it take an investment of $1,200 earning 12% annually to triple if it is compounded continuously?

Accepted Answer

Approximately 9.2 years

Answer

Approximately 9.8 years

Answer

Approximately 12.12 years

Answer

Approximately 3.14 years

Question 33

Ezra bought a new Apple MacBook Pro for $2,200. The value decreases by approximately 18% each year. How many years will it take for the value to be reduced to $500?

Accepted Answer

Approximately 7.5 years

Answer

Approximately 0.5 years

Answer

Approximately 9 years

Answer

Approximately 1.5 years

Question 34

A study showed that the function $$m\left(t\right)=60\log\left(2t+4\right)$$ approximates the population of mice in an abandoned building with t being the number of months since the building was abandoned. What was the approximate population of mice in the building 2 years after it was abandoned?

Accepted Answer

Answer

Answer

Answer

Exponential and Log Test

38 questions

What is the domain of y=2^x?

What is the range of y=2^x?

Where is the asymptote of y=2^x?

Classify the following graph.

What equation matches the graph?

What equation matches the graph?

Which has a vertical asymptote?

What is the asymptote of this function:
f(x) = 2^x-1+ 3

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

log₅25 = ?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Exponential and Log Test

38 questions

What is the domain of y=2x?

What is the range of y=2x?

Where is the asymptote of y=2x?

Classify the following graph.

What equation matches the graph?

What equation matches the graph?

Which has a vertical asymptote?

What is the asymptote of this function: f(x) = 2x-1 + 3

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

log525 = ?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the domain of y=2^x?

What is the range of y=2^x?

Where is the asymptote of y=2^x?

What is the asymptote of this function:
f(x) = 2^x-1+ 3

log₅25 = ?