Quiz about Inverses of Logarithms

Question 1

How are exponentials and logarithms related?

Accepted Answer

They're inverses

Answer

They're cousins

Answer

They're not related

Answer

They're reciprocals

Question 2

Logarithms are the inverse of ___________.

Accepted Answer

Exponential

Answer

Trees

Answer

Quadratics

Answer

Square

Question 3

Which equation is the inverse of the equation above?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 4

Which equation is the inverse of the equation above?

Accepted Answer

D) y = 1/(2x + 3)

Answer

A) y = 2x + 3

Answer

B) y = (x - 3)/2

Answer

C) y = 3 - 2x

Question 5

Which equation is the inverse of the equation above?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 6

Which equation is the inverse of the equation above?

Accepted Answer

C) y = 3 - 2x

Answer

A) y = 2x + 3

Answer

B) y = (x - 3)/2

Answer

D) y = 1/(2x + 3)

Question 7

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 8

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

Accepted Answer

y=x

Answer

the x-axis

Answer

the y-axis

Answer

y=-x

Question 9

Log with a base "e" (log_e) is the same thing as...

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Natural Log, base "e"
LN_e

Question 10

Find the inverse of f(x)=2log₃(x) HINT: isolate the logarithm first.

Accepted Answer

f^-1(x)=3^(x/2)

Answer

f^-1(x)=(3^x)/2

Answer

f^-1(x)=3^x

Answer

f^-1(x)=3^(x-2)

Question 11

Find the inverse of f(x)=log₃(x+2)

Accepted Answer

$$f^{-1}\left(x\right)=3^x-2$$

Answer

$$f^{-1}\left(x\right)=1^x$$

Answer

$$f^{-1}\left(x\right)=3^{x-2}$$

Answer

$$f^{-1}\left(x\right)=3^{x+2}$$

Question 12

Find the inverse of the function f(x)=log₃(x)+5

Accepted Answer

f^-1(x)=3^(x-5)

Answer

f^-1(x)=3^x-5

Answer

f^-1(x)=3^(x+5)

Answer

f^-1(x)=3^x+5

Question 13

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 14

Solve for x:
log_x25 = 2

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 15

Write in exponential form

log₂32 = 5

Accepted Answer

25 = 32

Answer

2-5 = 32

Answer

232 = 5

Answer

325 = 2

Question 16

Change to Exponential Form: log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 17

Find the inverse of f(x)=log₄(x+4)

Accepted Answer

f^-1(x)=4^x-4

Answer

f^-1(x)=4^(x-4)

Answer

f^-1(x)=4^x+4

Answer

f^-1(x)=4^x

Question 18

Where is the asymptote?

Accepted Answer

x = 1

Answer

y = 1

Answer

x = -1

Answer

y = -1

Question 19

Rewrite in exponential form.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Inverses of Logarithms

19 questions

How are exponentials and logarithms related?

Logarithms are the inverse of ___________.

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Logarithmic functions are the inverse of...

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

Log with a base "e" (log_e) is the same thing as...

Find the inverse of f(x)=2log₃(x) HINT: isolate the logarithm first.

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Inverses of Logarithms

19 questions

How are exponentials and logarithms related?

Logarithms are the inverse of ___________.

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Logarithmic functions are the inverse of...

The exponential function f(x)=2x and the logarithmic function g(x)=log2(x) are inverses. You know that because their graphs are reflected over what line?

Log with a base "e" (loge) is the same thing as...

Find the inverse of f(x)=2log3(x) HINT: isolate the logarithm first.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

Log with a base "e" (log_e) is the same thing as...

Find the inverse of f(x)=2log₃(x) HINT: isolate the logarithm first.