Question 1

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

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Question 2

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

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Question 3

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The answer of 
...

Question 4

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

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Question 5

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

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Question 6

Which exponential equation defines the function shown?

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...

Question 7

Write  as a logarithm of a single expression.

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Question 8

If logS1U1B1bS1U1B0 8= 8 and logS1U1B1bS1U1B0 56= A , find logS1U1B1bS1U1B0 7

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Question 9

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

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...

Question 10

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

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Question 11

Solve for

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...

Question 12

Solve for

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Question 13

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

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Question 14

Solve for x: logS1U1B15S1U1B0 82 = x + 10

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Question 15

Solve for

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...

Question 16

Solve for x: 10S1U1P12.36xS1S1P0 = 500

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...

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?

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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.

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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.

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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