Question 1

Find the inverse of the one-to-one function $f(x) = \sqrt[3]{x-6}$
A)
B)
C)
D)

Accepted Answer

The answer of Find the inverse of the one-to-one function...

Question 2

Find the inverse of the one-to-one function {(-2, 8), (1, 5), (3, -6)}.
A) {(2, -8), (-1, -5), (-3, 6)}
B) {(3, -6), (1, 5), (-2, 8)}
C) {(-8, 2), (-5, -1), (6, -3)}
D) {(8, -2), (5, 1), (-6, 3)}

Accepted Answer

The answer of Find the inverse of the one-to-one function...

Question 3

A)
B)
C)
D)

Accepted Answer

The answer of 
A)
B)
C)
D) ...

Question 4

Which of the following is the graph of a one-to-one function? 
A) 3 only
B) 2 and 3
C) All of these
D) None of these

Accepted Answer

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

Question 5

Find the exact value of $\log1000 - \ln{e}^3$
A) 1
B) 1/3
C) 0
D) 3

Accepted Answer

The answer of Find the exact value of \(\log1000 -...

Question 6

Which exponential equation defines the function shown?

A)
B)
C)
D)

Accepted Answer

The answer of Which exponential equation defines the function shown?

A)
B)
C)
D)...

Question 7

Write  as a logarithm of a single expression.
A)
B)
C)
D)

Accepted Answer

The answer of Write  as a logarithm of a...

Question 8

If logS1U1B1bS1U1B0 8= 8 and logS1U1B1bS1U1B0 56= A , find logS1U1B1bS1U1B0 7
A)A/8
B)A-8
C)8S1U1P1-AS1S1P0
D)

Accepted Answer

The answer of If logS1U1B1bS1U1B0 8= 8 and logS1U1B1bS1U1B0 56=...

Question 9

Simplify the expression $\ln e^{x+2}$ .
A) x + 2
B) x
C) 2
D) $e^{x+2}$

Accepted Answer

The answer of Simplify the expression $\ln e^{x+2}$ .
A) x...

Question 10

Write $\log_4\frac5{\sqrt{y}}$ as a sum or difference of multiples of logarithms, assuming that x is positive.
A)
B)
C)
D)

Accepted Answer

The answer of Write $\log_4\frac5{\sqrt{y}}$ as a sum or difference...

Question 11

Solve for 
A)16/3
B)1
C)-16/3
D)4/3

Accepted Answer

The answer of Solve for 
A)16/3
B)1
C)-16/3
D)4/3...

Question 12

Solve for  
A)-3
B)-(7/2)
C)3/7
D) 7

Accepted Answer

The answer of Solve for  
A)-3
B)-(7/2)
C)3/7
D) 7...

Question 13

Solve for x: ln( x + 5) = -3
A) 15.086
B) 0.155
C) 0.010
D) -4.950

Accepted Answer

The answer of Solve for x: ln( x + 5)...

Question 14

Solve for x: logS1U1B15S1U1B0 82 = x + 10
A) -7.262 
B) -9.635
C) -9.617 
D) -9.119

Accepted Answer

The answer of Solve for x: logS1U1B15S1U1B0 82 = x...

Question 15

Solve for  
A)108
B)-(12/7)
C)-(57/16)
D)52

Accepted Answer

The answer of Solve for  
A)108
B)-(12/7)
C)-(57/16)
D)52...

Question 16

Solve for x: 10S1U1P12.36xS1S1P0 = 500
A) 1.414
B) 1.144
C) 1.441
D) 1.114

Accepted Answer

The answer of Solve for x: 10S1U1P12.36xS1S1P0 = 500
A) 1.414
B)...

Question 17

Jose wants to save for his daughters wedding. Since his daughter is 10 years old, he expects to save for 13 years for a wedding after she finishes college. If he expects the wedding to cost $60,000, and he plans to invest $18,000 in an account that compounds weekly, what interest rate must he look for to reach his goal?
A) 8.25%
B) 10.5%
C) 9.3%
D) 7.8%

Accepted Answer

The answer of Jose wants to save for his daughters...

Question 18

An experiment teaching rats to run mazes shows that a typical rat can remember a maximum of 23 turns. Find how many weeks it should take a typical rat to learn 18 turns, using the learning curve formula $t=\frac1c\ln(\frac{23}{23-N})$, where c = 0.25 and N is the number of turns learned.
A) 5.2 weeks
B) 5.8 weeks
C) 6.1 weeks
D) 6.7 weeks

Accepted Answer

The answer of An experiment teaching rats to run mazes...

Question 19

The current population of a city is 350,000. The population has been decreasing at a rate of 2.2% per year. If this rate continues, predict the population of the city in 14 years.
A) 10,799 people
B) 109,633 people
C) 474,658 people
D) 256,337 people

Accepted Answer

The answer of The current population of a city is...

Quiz 9: Exponential and Logarithmic Functions

Find the inverse of the one-to-one function $f(x) = \sqrt[3]{x-6}$

Find the inverse of the one-to-one function {(-2, 8) , (1, 5) , (3, -6) }.

Which of the following is the graph of a one-to-one function?

Find the exact value of $\log1000 - \ln{e}^3$

Which exponential equation defines the function shown?

Write as a logarithm of a single expression.

If log_b 8= 8 and log_b 56= A , find log_b 7

Simplify the expression $\ln e^{x+2}$ .

Write $\log_4\frac5{\sqrt{y}}$ as a sum or difference of multiples of logarithms, assuming that x is positive.

Solve for

Solve for

Solve for x: ln( x + 5) = -3

Solve for x: log₅ 82 = x + 10

Solve for

Solve for x: 10^2.36x = 500

An experiment teaching rats to run mazes shows that a typical rat can remember a maximum of 23 turns. Find how many weeks it should take a typical rat to learn 18 turns, using the learning curve formula $t=\frac1c\ln(\frac{23}{23-N})$ , where c = 0.25 and N is the number of turns learned.

The current population of a city is 350,000. The population has been decreasing at a rate of 2.2% per year. If this rate continues, predict the population of the city in 14 years.

Quiz 9: Exponential and Logarithmic Functions

Find the inverse of the one-to-one function f(x) =x−63f(x) = \sqrt[3]{x-6}f(x) =3x−6​

Find the inverse of the one-to-one function {(-2, 8) , (1, 5) , (3, -6) }.

Which of the following is the graph of a one-to-one function?

Find the exact value of log⁡1000−ln⁡e3\log1000 - \ln{e}^3log1000−lne3

Which exponential equation defines the function shown?

Write as a logarithm of a single expression.

If logb 8= 8 and logb 56= A , find logb 7

Simplify the expression ln⁡ex+2\ln e^{x+2}lnex+2 .

Write log⁡45y\log_4\frac5{\sqrt{y}}log4​y​5​ as a sum or difference of multiples of logarithms, assuming that x is positive.

Solve for

Solve for

Solve for x: ln( x + 5) = -3

Solve for x: log5 82 = x + 10

Solve for

Solve for x: 102.36x = 500

The current population of a city is 350,000. The population has been decreasing at a rate of 2.2% per year. If this rate continues, predict the population of the city in 14 years.

Find the inverse of the one-to-one function $f(x) = \sqrt[3]{x-6}$

Find the exact value of $\log1000 - \ln{e}^3$

If log_b 8= 8 and log_b 56= A , find log_b 7

Simplify the expression $\ln e^{x+2}$ .

Write $\log_4\frac5{\sqrt{y}}$ as a sum or difference of multiples of logarithms, assuming that x is positive.

Solve for x: log₅ 82 = x + 10

Solve for x: 10^2.36x = 500