Question 1

Find  .
A) 4
B) 
C) 1
D) 10
E) 0

Accepted Answer

E

Question 2

The number  is approximately equal to 2.71828.

Accepted Answer

True

Question 3

Find  .
A) 6
B) 8
C) 262144
D) 48
E) 1

Accepted Answer

A

Question 4

Using the definition of the logarithmic function, solve  for  .
A) 6
B) -6
C) 1.6
D) -2
E) 2

Accepted Answer

The answer of Using the definition of the logarithmic function,...

Question 5

Which of the following is the correct missing value in the table for the function ?

A) 
B) 
C) 1
D) -1
E) 5

Accepted Answer

The answer of Which of the following is the correct...

Question 6

Find the logarithm of  .
A) -3
B) 
C) 3
D) 10
E)

Accepted Answer

The answer of Find the logarithm of  .
A) -3
B)...

Question 7

Find the logarithm of  .
A) 2
B) 
C) 100
D) 8
E) 10

Accepted Answer

The given value is a hexadecimal number, and the question asks for its logarithm, which implies a mathematical operation. Since the number is not explicitly defined, it is unlikely to have a meaningful mathematical operation on it. Therefore, the most reasonable option is to change the value slightly to see if it leads to a meaningful answer. Changing the sixth digit from 5 to 6 gives a value that is easily recognizable as the hexadecimal representation of a large integer, which suggests that the logarithm of the original number might be related. Therefore, the best choice is (B) 11ec1b6e_3c55_7a56_bbf8_cd337b891d9a_TBX8728_11, which is the value obtained by changing the sixth digit.

Question 8

Accepted Answer

The answer of ...

Question 9

If  , then  . Assume that  is a one-to-one function.

Accepted Answer

This is a bit of a cryptic statement, but essentially we can deduce that the function takes in a specific input that ends with "5342" and returns something that ends with "5343". This means that the function is mapping the input to a unique output. Since the statement also implies that the function is one-to-one, we can conclude that the new input given (with "5343" at the end) will also map to a unique output, making the statement true.

Question 10

Which one of the following exponential equations is equivalent to  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which one of the following exponential equations...

Question 11

Accepted Answer

The answer of ...

Question 12

Accepted Answer

The answer of ...

Question 13

Using the definition of the logarithmic function, solve  for  .
A) 0.6
B) 60.0
C) 1.7
D) 60466176
E) 1000000

Accepted Answer

The answer of Using the definition of the logarithmic function,...

Question 14

Find the common logarithm of the given value, rounded to the nearest thousandth, of:
The weight of an African Grey parrot: 380 grams.
A) 5.940
B) 380
C) 3.8
D) 10
E) 2.580

Accepted Answer

The common logarithm (log base 10) of 380, rounded to the nearest thousandth, is approximately 2.580.

Question 15

Which one of the following exponential equations is equivalent to  ?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The last 4 digits (16a0) in the given exponential equation can be converted to base 16 to get the value of the exponent. In this case, it equals 5792 in base 10. Adding 216 to the exponent gives us 6008. Converting this back to base 16 gives us the last 4 digits in option B (e5076f733140), which means that option B is equivalent to the given equation.

Question 16

Find  .
A) 
B) -8
C) 
D) 390625
E) 8

Accepted Answer

The answer of Find  .
A) 
B) -8
C) 
D) 390625
E)...

Question 17

The value of  is  .

Accepted Answer

The only difference between the two values is the 8th group of characters. In the original value, it is "cd032fbb011f" and in the given value, it is "bdce806e9758". Therefore, the statement is true.

Question 18

The value of  is 13.05.

Accepted Answer

The answer of The value of  is 13.05....

Question 19

For any  , the logarithm function  is always decreasing.

Accepted Answer

The answer of For any  , the logarithm function...

Question 20

Using the definition of the logarithmic function, solve  .
A) 0.0001
B) -4
C) 10
D) 1048576
E) 4

Accepted Answer

The answer of Using the definition of the logarithmic function,...

Quiz 4: Logarithmic Functions and Exponential Modela

Find .

The number is approximately equal to 2.71828.

Find .

Using the definition of the logarithmic function, solve for .

Which of the following is the correct missing value in the table for the function ?

Find the logarithm of .

Find the logarithm of .

If , then . Assume that is a one-to-one function.

Which one of the following exponential equations is equivalent to .

Using the definition of the logarithmic function, solve for .

Find the common logarithm of the given value, rounded to the nearest thousandth, of: The weight of an African Grey parrot: 380 grams.

Which one of the following exponential equations is equivalent to ?

Find .

The value of is .

The value of is 13.05.

For any , the logarithm function is always decreasing.

Using the definition of the logarithmic function, solve .