Question 1

Solve for x. Give an exact answer and a three-decimal place approximation.
-A city has a current population of 260,000. The population of the city is decreasing at a rate of 1.9% per year. At this rate, find the city's population in 25 years. Round your answer to the nearest whole number.

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Question 2

A)
B)
C)
D)

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

Question 3

Which of the two functions shown is a one-to-one function? 
A) f ( x) only
B) g( x) only
C) both
D) neither

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The answer of Which of the two functions shown is...

Question 4

f(x) = xS1U1P15S1S1P0 + 8 is a one-to-one function. Find its inverse
A)
B)
C) 
D)

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The answer of f(x) = xS1U1P15S1S1P0 + 8 is a...

Question 5

Solve for 
A) 3/7
B) 5/2 
C) 7/15
D) 5/14

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The answer of Solve for 
A) 3/7
B) 5/2 
C) 7/15
D)...

Question 6

Which exponential equation defines the function shown?

A)
B)
C) 
D)

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The answer of Which exponential equation defines the function shown?

A)
B)
C)...

Question 7

The temperature of an overheating engine is increasing exponentially, according to the formula $T = T_0(2.7)^{0.14t}$, where t is in seconds. How long will it take for the temperature to double?
A) $3 \frac12$ seconds
B) 2 seconds
C) $4 \frac12$ seconds
D) 5 seconds

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Question 8

Simplify the expression $16^{\log_45}$
A) 20
B) 25
C) 10
D) 15

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The answer of Simplify the expression $16^{\log_45}$
A) 20
B) 25
C) 10
D)...

Question 9

Solve for  
A) 9/4
B)
C)
D)

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A) 9/4
B)
C)
D)...

Question 10

A)
B)
C)
D)

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

Question 11

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

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Question 12

Write $\log_4\frac{7x^2}{3}$ as a sum or difference of multiples of logarithms, assuming that x is positive.
A)
B)
C)
D)

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The answer of Write $\log_4\frac{7x^2}{3}$ as a sum or difference...

Question 13

A) 1.15
B) 0.26
C) 1.52
D) 2.16

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The answer of  
A) 1.15
B) 0.26
C) 1.52
D) 2.16...

Question 14

Solve for x: ln(2x - 1) = -0.2 .
A)
B)
C)
D)

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The answer of Solve for x: ln(2x - 1) =...

Question 15

Approximate logS1U1B13/2S1U1B0 9 to four decimal places.
A) 5.4190 
B) 2.7095 
C) 5.9845 
D) 2.3980

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Question 16

Which function has the graph shown?
 
A)
B)
C)
D)

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The answer of Which function has the graph shown?
 
A)
B)
C)
D)...

Question 17

Solve for x: log(5 + x) - log(x - 4) = log 2 .
A) 13
B) 1/2
C) -13
D) $\emptyset$

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

Question 18

How long does it take a $1200 investment to earn $180 in interest, if it is invested at 7.5% interest compounded semiannually?
A) 1.5 years
B) 2.5 years
C) 2 years
D) 3 years

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The answer of How long does it take a $1200...

Question 19

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 15 turns, using the learning curve formula $t = \frac1c\ln(\frac{23}{23-N})$, where c = 0.2 and N is the number of turns learned.
A) 4.8 weeks
B) 5.0 weeks
C) 5.3 weeks
D) 6.8 weeks

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

Question 20

The current population of a city is 100,000. The population has been growing at a rate of 0.9% per year. If this rate continues, predict the population of the city in 10 years.
A) 236,736 people
B) 109,373 people
C) 108,957 people
D) 91,356 people

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

Quiz 9: Exponential and Logarithmic Functions

Solve for x. Give an exact answer and a three-decimal place approximation. -A city has a current population of 260,000. The population of the city is decreasing at a rate of 1.9% per year. At this rate, find the city's population in 25 years. Round your answer to the nearest whole number.

Which of the two functions shown is a one-to-one function?

f(x) = x⁵ + 8 is a one-to-one function. Find its inverse

Solve for

Which exponential equation defines the function shown?

The temperature of an overheating engine is increasing exponentially, according to the formula $T = T_0(2.7) ^{0.14t}$ , where t is in seconds. How long will it take for the temperature to double?

Simplify the expression $16^{\log_45}$

Solve for

Write as a logarithm of a single expression.

Write $\log_4\frac{7x^2}{3}$ as a sum or difference of multiples of logarithms, assuming that x is positive.

Solve for x: ln(2x - 1) = -0.2 .

Approximate log_3/2 9 to four decimal places.

Which function has the graph shown?

Solve for x: log(5 + x) - log(x - 4) = log 2 .

How long does it take a $1200 investment to earn $180 in interest, if it is invested at 7.5% interest compounded semiannually?

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 15 turns, using the learning curve formula $t = \frac1c\ln(\frac{23}{23-N})$ , where c = 0.2 and N is the number of turns learned.

The current population of a city is 100,000. The population has been growing at a rate of 0.9% per year. If this rate continues, predict the population of the city in 10 years.

Quiz 9: Exponential and Logarithmic Functions

Solve for x. Give an exact answer and a three-decimal place approximation. -A city has a current population of 260,000. The population of the city is decreasing at a rate of 1.9% per year. At this rate, find the city's population in 25 years. Round your answer to the nearest whole number.

Which of the two functions shown is a one-to-one function?

f(x) = x5 + 8 is a one-to-one function. Find its inverse

Solve for

Which exponential equation defines the function shown?

The temperature of an overheating engine is increasing exponentially, according to the formula T=T0(2.7) 0.14tT = T_0(2.7) ^{0.14t}T=T0​(2.7) 0.14t , where t is in seconds. How long will it take for the temperature to double?

Simplify the expression 16log⁡4516^{\log_45}16log4​5

Solve for

Write as a logarithm of a single expression.

Write log⁡47x23\log_4\frac{7x^2}{3}log4​37x2​ as a sum or difference of multiples of logarithms, assuming that x is positive.

Solve for x: ln(2x - 1) = -0.2 .

Approximate log3/2 9 to four decimal places.

Which function has the graph shown?

Solve for x: log(5 + x) - log(x - 4) = log 2 .

How long does it take a $1200 investment to earn $180 in interest, if it is invested at 7.5% interest compounded semiannually?

The current population of a city is 100,000. The population has been growing at a rate of 0.9% per year. If this rate continues, predict the population of the city in 10 years.

f(x) = x⁵ + 8 is a one-to-one function. Find its inverse

The temperature of an overheating engine is increasing exponentially, according to the formula $T = T_0(2.7) ^{0.14t}$ , where t is in seconds. How long will it take for the temperature to double?

Simplify the expression $16^{\log_45}$

Write $\log_4\frac{7x^2}{3}$ as a sum or difference of multiples of logarithms, assuming that x is positive.

Approximate log_3/2 9 to four decimal places.