Section 6.1
Quiz 6.7
Question: Use the horizontal line test to determine whether the given function is one-to-one

 
    No
Yes
 
  Variations: Use the horizontal line test to determine whether the given function is one-to-one

 
    Use the horizontal line test to determine whether the given function is one-to-one

 
    Use the horizontal line test to determine whether the given function is one-to-one

 

Section 6.1 Question: Which of the following is the inverse function of f (x)  =  2x + 5?
 
Quiz 6.8   (x – 5)/2
–2(x – 5)
–2x – 5
x/2 – 5
 
  Variation: Which of the following is the inverse function of f (x)  =  –x/3 – 5?
 
    x/3 + 5
(x + 5)/3
–3(x + 5)
–3x + 5
 

Section 6.3
Quiz 7.1
Question: Convert the following logarithmic equation to exponential form
logx 7  =  4

 
     
  Variations: Convert the following logarithmic equation to exponential form
log6 5  =  x

 
     
    Convert the following logarithmic equation to exponential form
log5 x  =  4

 
     

Section 6.3
Quiz 7.2
Question: Find the value of the expression
log3 3

 
     
  Variations: Find the value of the expression
log25 5

 
     
    Find the value of the expression
log5 1/25

 
     
    Find the value of the expression
log2 4

 
     
    Find the value of the expression
log3 27

 
     
    Find the value of the expression
log2 1/8

 
     

Section 6.3
Quiz 7.3
Question: Give the domain of the function
f (x)  =  log2 (–x + 5)

 
     
  Variation: Give the domain of the function
f (x)  =  log2 (3x + 6)

 
     

Section 6.4
Quiz 7.4
Question: Simplify the following expression using the formula for the sum or difference of logarithms.
log2 (x2 – 9)6

 
    (log2 x) / (log2 3)
12 log2 x – 12 log2 3
(6 log2 x) / (log2 3)
12 log2 x
6 log2 (x + 3) + 6 log2 (x – 3)
 
  Variations: Simplify the following expression using the formula for the sum or difference of logarithms.
ln (x2 – 9x)3

 
    (6 ln x) / (2 ln 3 + ln x)
6 ln x – 6 ln 3
3 ln x + 3 ln (x – 9)
(2 ln x) / (2 ln 3 + ln x)
3 ln x – 6 ln 3
 
    Simplify the following expression using the formula for the sum or difference of logarithms.
log (x2 + 9x)6

 
    12 log x + 12 log 3
18 log x + 12 log 3
6 log x + 6 log (x + 9)
48 log (3x)
288 log (12x)
 

Section 6.5
Quiz 7.5
Question: Solve the equation
log (x + 1)  =  log (2x – 2)

 
     
  Variations: Solve the equation
ln (x + 3)  =  ln (4x – 2)

 
     
    Solve the equation
log2 (x + 4)  =  log2 (3x – 3)

 
     

Section 6.6
Quiz 7.6
Question: If you invest $500.00 at an annual interest rate of 8% compounded monthly, how much will you have in 5 years? Express your answer to the nearest cent.
 
     

Section 6.7
Quiz 7.7
Question: A radioactive substance decays exponentially, so the amount A left at time t is given by A  =  A0 ekt, where k < 0. If there are 500 units of the substance initially and 149 units after 6 hours, what is the decay constant k (in hr-1)? Express your answer to three decimal places and include the negative sign.
 
     

Section 6.7
Quiz 7.8
Question: An epidemic is believed to be in an exponential phase of growth. If there have been 53 cases reported as of April 4, and 107 cases reported as of April 20, how many cases should be expected as of April 30? Give your answer to the nearest integer.