MAT 120 WEEK 7 QUIZ

MAT 120 WEEK 7 QUIZ
1	Given that log x 3 and log y 4 find log 
a.   log ( )
b.    -1
c.     
d.   log 3 - log 4
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
2.	Use a calculator to find log 5 57. Round your answer to four decimal places.
a.    2.3611
b.    2.5001
c.    2.5121
d.    2.8251
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
3.	Simplify. log 4 1
a.    0
b.    1
c.    4
d.    16
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
4.	Graph the logarithmic function. f(x) = log 3 (x - 1)
a.     
b.     
c.     
d.     
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6F:Identify the graphs of logarithmic functions.
	
5.	Write in exponential form. log 10 0.0001 = -4
a.   0.0001 = 10-4
b.   0.0001 = (-4)10
c.   10 = (0.0001)-4
d.   10 = (-4)0.0001
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
6.	Evaluate e9 - e-9 to four significant digits.
a.    8103
b.    8107
c.    8111
d.    8115
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6B:Calculate expressions involving the constant e.
	
7.	Simplify. log 2 27
a.    0
b.    1
c.    2
d.    7
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
8.	The radioactive element americium-241 has a half-life of 432 years. Suppose we start with a 20-g mass of americium-241. How much will be left after 377 years? Compute the answer to three significant digits.
a.    10.9 g
b.    12.0 g
c.    13.2 g
d.    13.8 g
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6D:Use exponential functions to solve real-world problems.
	
9.	Evaluate x to four significant digits. ln x = -1.445
a.    0.2357
b.    0.2711
c.    0.3589
d.    0.4513
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
10.	Use a calculator to find log 4, 115.  Round your answer to four decimal places.
a.    3.6144
b.    3.6357
c.    3.7479
d.    3.7661
Hint:Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
11.	Solve. log 16 32 = x
a.     
b.     
c.    2
d.     
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
12.	If you invest $4,500 in an account paying 2% compounded continuously, how much money will be in the account at the end of 4 years?
a.    $4,874.79
b.    $4,879.93
c.    $4,884.77
d.    $4,888.11
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6D:Use exponential functions to solve real-world problems.
	
13.	Graph y = 5e-x.
a.     
b.     
c.     
d.     
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6E:Identify the graphs of exponential functions.
	
14.	Simplify.   
a.     
b.     
c.     
d.     
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6B:Calculate expressions involving the constant e.
	
15.	Simplify. log 3 9
a.     
b.   - 
c.    2
d.    -2
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
16.	Simplify. log 3 3
a.    0
b.    1
c.    3
d.    9
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6C:Calculate logarithms and convert between logarithmic and exponential forms.
	
17.	The bacteria in a certain culture double every 7.9 hours. The culture has 2,000 bacteria at the start. How many bacteria will the culture contain after 4 hours?
a.    3,306 bacteria
b.    3,409 bacteria
c.    3,508 bacteria
d.    3,628 bacteria
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6D:Use exponential functions to solve real-world problems.
	
18.	An employee is hired to assemble toys. The learning curve
 
gives the number of toys the average employee is able to assemble per day after t days on the job. How many toys can the average employee assemble per day after 6 days of training? Round to the nearest integer.
a.    24 toys
b.    25 toys
c.    26 toys
d.    27 toys
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6D:Use exponential functions to solve real-world problems.
	
19.	Solve.   
a.    3
b.    4
c.    5
d.    -4
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6A:Solve and simplify exponential functions.
	
20.	Graph y = ex - 2.
a.     
b.     
c.     
d.     
Hint: Sections 5.1, 5.3
SLO6:Solve and simplify exponential and logarithmic functions.
LO6E:Identify the graphs of exponential functions.