Question Description
Question 1
Evaluate the function at the indicated value of x. Round your result to three decimal places.
Function: f(x) = 0.5^x Value: x = 1.7
0.308  
1.7  
0.308  
0.5 
Question 2
Solve for x. 3^{x} = 81
7  
3  
4  
3 
Question 3
Question 4
The Logarithm Quotient Rule states:
log_{b}(x / y) = log_{b}(x) + log_{b}(y)
 
log_{b}(x / y) = log_{b}(x)  log_{b}(y)
 
log_{b}(x ^{y}) = y ∙ log_{b}(x)
 
log_{b}(c) = 1 / log_{c}(b) 
Question 5
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. Assume all variables are positive.
log_{3} 9x
log_{3} 9 * log_{3} x  
 
log_{3} 9  log_{3}  
none of these 
Question 6
Question 7
Question 8
Question 9
Use the OnetoOne property to solve the equation for x.
e^{(3x+5)} = e^{6}
x = 1/3  
x^{2} = 6  
x = 1/3  
x = 3 
Question 10
Write the logarithmic equation in exponential form.
log_{8} 64 = 2
8^{2} = 16  
 
 

Question 11
Write the exponential equation in logarithmic form.
4^{3} = 64
log_{64} 4 = 3  
 
 

Question 12
The given xvalue is a solution (or an approximate solution) of the equation.
4^{2x7} = 16
x = 5
True
False
Question 13
Find the magnitude R of each earthquake of intensity I (let I_{0}=1). (Hint: R=log (I/I_{0})
I = 19000
 
5.28  
 

Question 14 – show you work
Question 15 – show your work
Question 16 – show your work
Question 17
$2500 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to double. (Approximate the result to two decimal places.)
r = 0.0570
13.16 years  
10.16 years  
 

Question 18 – show your work
Question 19 – show your work
Question 20
Solve for x: log(3x−2)−log(2)=log(x+4)
10  
0  
4  
12 
Question 21
Evaluate the function at the indicated value of x. Round your result to three decimal places.
Function: f(x) = 0.5^{x} Value: x = 1.7
 
1.7  
0.308  
0.5 
Question 22
Question 23
$5000 is put into an account that pays 4% interest compounded continuously. How much will be in the account after 3 years? Round the answer to the nearest whole number.
5637  
5637.5  
5638  
5638.5 
Question 24 – show your work
Unformatted Attachment Preview
Purchase answer to see full attachment
Final Answer
Attached. Let me know if you have any questions.
Question 1
Evaluate the function at the indicated value of x. Round your result to three decimal places.
Function: f(x) = 0.5^x Value: x = 1.7
0.308
1.7
0.308
0.5
Question 2
Solve for x. 3x = 81
7
3
4
3
Question 3
Logarithms are the inverse of exponentials.
True
False
Question 4
The Logarithm Quotient Rule states:
logb(x / y) = logb(x) + logb(y)
logb(x / y) = logb(x)  logb(y)
logb(x y) = y ∙ logb(x)
logb(c) = 1 / logc(b)
Question 5
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of
logarithms. Assume all variables are positive.
log3 9x
log3 9 * log3 x
log3 9 + log3 x
log3 9  log3
none of these
Question 6
Select the graph of the function. Indicate which graph is correct: 1st, 2nd, 3rd, or 4...
Brown University
1271 Tutors
California Institute of Technology
2131 Tutors
Carnegie Mellon University
982 Tutors
Columbia University
1256 Tutors
Dartmouth University
2113 Tutors
Emory University
2279 Tutors
Harvard University
599 Tutors
Massachusetts Institute of Technology
2319 Tutors
New York University
1645 Tutors
Notre Dam University
1911 Tutors
Oklahoma University
2122 Tutors
Pennsylvania State University
932 Tutors
Princeton University
1211 Tutors
Stanford University
983 Tutors
University of California
1282 Tutors
Oxford University
123 Tutors
Yale University
2325 Tutors