Question 1

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

Accepted Answer

The answer of Contract the following expression using rules of...

Question 2

The population of a town grew from 10,000 in 1999 to 12,000 in 2003. Find A) the annual growth rate and B) the continuou growth rate.
Write your answer as a percent rounded to 2 decimal places, like 13.45%.

Accepted Answer

A. 4. 66 %

Question 3

Expand the following expression using rules of logarithms:

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

The acidity of a substance is measured using pH values. The function   gives the pH value of a substance where [H+] is the concentration of hydrogen ions (measured in moles per liter). Use the function to find the pH of a substance that has a hydrogen ion concentration of   moles per liter

Accepted Answer

Question 5

Expand the following expression using rules of logarithms:

Accepted Answer

The answer of Expand the following expression using rules of...

Question 6

Find A) the continuous growth factor and B) the (annual) growth factor from the function, 
   Write your answers as percents rounded to 2 decimal places, like 23.75%.

Accepted Answer

A. 33. 65

Question 7

The noise level, N, of a sound (measured in decibels,db) is defined to be   where I is the intensity of the sound (measured in watts/cm2).
Find the noise level (in decibels) of a sound with intensity   watts/cm2.

Accepted Answer

Question 8

Solve for x.

Accepted Answer

The answer of Solve for x.
  ...

Question 9

Which of the following functions would appear as a straight line on a semi-log plot?

Accepted Answer

A)    
B)    
A)    
B)

Question 10

Which of the following is the exact solution of the equation?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Expand the following expression using rules of logarithms:

Accepted Answer

The answer of Expand the following expression using rules of...

Question 12

Expand the following expression using rules of logarithms:

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Which of the following is the exact solution to the equation?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

If it took a radioactive substance 900 years to continuously decay from 2 grams to 0.8 grams, what is the half life of the substance?
Round the answer to the nearest year.

Accepted Answer

The answer of If it took a radioactive substance 900...

Question 15

The acidity of a substance is measured using pH values. The function   gives the pH value of a substance where [H+] is the concentration of hydrogen ions (measured in moles per liter). Use the table which includes the pH of various substances to answer the question.. The ion concentration of coffee is how many times more than that of soap?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles?
Round your answer to the nearest year.

Accepted Answer

The answer of The function,   , gives the...

Question 17

The graphs of the three functions,   ,   , and   are given. Which color is the graph of   ?

Accepted Answer

A)  Green 
B)  Blue 
C)  Red 
A)  Green 
B)  Blue 
C)  Red

Question 18

Radium-226 has a half-life of 1600 years.
A) Find the continuous decay rate. Write your answer as a percent rounded 4 decimal places.
B) Then find the age of a fossil that has 67% of it's original Radium-226 left?Round your answer to the nearest year.

Accepted Answer

A. 0. 0433

Question 19

Expand the following expression using rules of logarithms:

Accepted Answer

The answer of Expand the following expression using rules of...

Question 20

Which of the following is the exact solution of the equation?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

The population of a town grew from 10,000 in 1999 to 12,000 in 2003. Find A) the annual growth rate and B) the continuou growth rate. Write your answer as a percent rounded to 2 decimal places, like 13.45%.

Expand the following expression using rules of logarithms:

The acidity of a substance is measured using pH values. The function gives the pH value of a substance where [H⁺] is the concentration of hydrogen ions (measured in moles per liter). Use the function to find the pH of a substance that has a hydrogen ion concentration of moles per liter

Expand the following expression using rules of logarithms:

Find A) the continuous growth factor and B) the (annual) growth factor from the function, Write your answers as percents rounded to 2 decimal places, like 23.75%.

The noise level, N, of a sound (measured in decibels,db) is defined to be where I is the intensity of the sound (measured in watts/cm²). Find the noise level (in decibels) of a sound with intensity watts/cm².

Solve for x.

Which of the following functions would appear as a straight line on a semi-log plot?

Which of the following is the exact solution of the equation?

Expand the following expression using rules of logarithms:

Expand the following expression using rules of logarithms:

Which of the following is the exact solution to the equation?

If it took a radioactive substance 900 years to continuously decay from 2 grams to 0.8 grams, what is the half life of the substance? Round the answer to the nearest year.

The function, , gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles? Round your answer to the nearest year.

The graphs of the three functions, , , and are given. Which color is the graph of ?

Radium-226 has a half-life of 1600 years. A) Find the continuous decay rate. Write your answer as a percent rounded 4 decimal places. B) Then find the age of a fossil that has 67% of it's original Radium-226 left?Round your answer to the nearest year.

Expand the following expression using rules of logarithms:

Which of the following is the exact solution of the equation?

An Introduction to Data and Functions

Rates of Change and Linear Functions

When Lines Meet: Linear Systems

The Laws of Exponents and Logarithms: Measuring the Universe

Growth and Decay: An Introduction to Exponential Functions

Power Functions

Quadratics and the Mathematics of Motion

New Functions From Old

Filters

Exam 6: Logarithmic Links: Logarithmic and Exponential Functions

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

The population of a town grew from 10,000 in 1999 to 12,000 in 2003. Find A) the annual growth rate and B) the continuou growth rate. Write your answer as a percent rounded to 2 decimal places, like 13.45%.

Expand the following expression using rules of logarithms:

The acidity of a substance is measured using pH values. The function gives the pH value of a substance where [H+] is the concentration of hydrogen ions (measured in moles per liter). Use the function to find the pH of a substance that has a hydrogen ion concentration of moles per liter

Expand the following expression using rules of logarithms:

Find A) the continuous growth factor and B) the (annual) growth factor from the function, Write your answers as percents rounded to 2 decimal places, like 23.75%.

The noise level, N, of a sound (measured in decibels,db) is defined to be where I is the intensity of the sound (measured in watts/cm2). Find the noise level (in decibels) of a sound with intensity watts/cm2.

Solve for x.

Which of the following functions would appear as a straight line on a semi-log plot?

Which of the following is the exact solution of the equation?

Expand the following expression using rules of logarithms:

Expand the following expression using rules of logarithms:

Which of the following is the exact solution to the equation?

If it took a radioactive substance 900 years to continuously decay from 2 grams to 0.8 grams, what is the half life of the substance? Round the answer to the nearest year.

The function, , gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles? Round your answer to the nearest year.

The graphs of the three functions, , , and are given. Which color is the graph of ?

Radium-226 has a half-life of 1600 years. A) Find the continuous decay rate. Write your answer as a percent rounded 4 decimal places. B) Then find the age of a fossil that has 67% of it's original Radium-226 left?Round your answer to the nearest year.

Expand the following expression using rules of logarithms:

Which of the following is the exact solution of the equation?

An Introduction to Data and Functions

Rates of Change and Linear Functions

When Lines Meet: Linear Systems

The Laws of Exponents and Logarithms: Measuring the Universe

Growth and Decay: An Introduction to Exponential Functions

Power Functions

Quadratics and the Mathematics of Motion

New Functions From Old

Filters

The acidity of a substance is measured using pH values. The function gives the pH value of a substance where [H⁺] is the concentration of hydrogen ions (measured in moles per liter). Use the function to find the pH of a substance that has a hydrogen ion concentration of moles per liter

The noise level, N, of a sound (measured in decibels,db) is defined to be where I is the intensity of the sound (measured in watts/cm²). Find the noise level (in decibels) of a sound with intensity watts/cm².