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Question 88350: Topic #2
i try this problem but i think i havnt get them the right way i even show it
to my sister but she do not how to do it so i think that you the only person
that could help
1. Answer the following questions for each of the functions below:
Find the domain and range of the function.
Name two coordinates on the graph of the function.
How does the graph behave as x increases?
Write the equation of the vertical asymptote in the graph of the function.
Graph the function by hand, and check your result with your calculator.
a. y=1+log3x b.y=log1/4x
c. y=ln(x-1) d.2 ln(x)-1
2. Rewrite the following expressions using a single logarithm.
a. log(3x)+2log(y)-log(z-1)
b.1/3ln(h)-log2(k)+ln(4m^2)
3. Using the function given in this lesson,p(h)=-log(h) , answer the
following questions:
a. What is the pH value of a solution with 0.004 mole of hydrogen ion?
b. What is the concentration of hydrogen ions of a solution with a pH of
7.2?
topic#3
1. Using the function given in Topic #2, p(h)=-log(h) , what is the
concentration of hydrogen ions of a solution with a pH of 7.2? Use the
techniques you learned in this lesson to solve this problem, and check it
with your answer to #3 in your homework assignment for Topic #2.
2. Using the function M(x)=log(1000x),find the number of millimeters the
seismic reading is 100 km from the center of an earthquake that measures 4.1
on the Richter scale.
3. Solve the following equations, using the definition of logarithms:
a.lne^-3x=9 b.logx9=2
c.log1/2(x-3)=-4 d.ln(x+1)-lnx=2
topic4
1. You invest $6000 into an account paying 3.75% annual interest compounded
bimonthly, and you want to have $10,000 saved for your first year of
college.
a. How long will it take for your investment to grow that large? Solve
this algebraically, and then check your answer graphically.
b. You have a choice to invest your money into an account paying 3.5%
annual interest, compounded continuously. Should you choose this account
over the other one? Why?
2. You’re cooking some spaghetti noodles in a pot, and you just turned off
the stove. Right when you turned the stove off, your pot was 215ºF. Ten
minutes later, your pot is 150ºF, and the temperature of your kitchen is
76ºF. (You do not remove the pot from the stove.)
a. Write an equation that represents the temperature of the pot with
respect to time, and graph your function. Write the equation of the
horizontal asymptote of your graph, and interpret what it represents in the
context of this problem.
b. When will the temperature of the pot be 90ºF? (Find your answer
algebraically.)
c. Use your graph and calculator to verify that your answer to part b) is
correct.
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! This looks like either a take-home test or a very LONG assignment!! We at algebra.com like to help students with their homework! However, we do NOT want to DO your homework for you, and we will NOT knowingly take a take-home test for you. Please--only one or two questions at a time! We do NOT get paid for this!!
Dr. Robert J. Rapalje, Retired
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