Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 45015: The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days.
My answer is 1.098 but I'm not sure if I set this one up right. Thanks for checking.
Click here to see answer by Nate(3500)  |
Question 45457: My problem is rewrite log8 (xsquared + 1) in terms of natural logarithms.
The 8 being the base (small 8 at the bottom of the g)
I understand natural logarithms is LN, right? So I turnerd it into
8 to the power of y = x squared + 1.
Then from there I am stuck. Where does the LN come in?
Click here to see answer by stanbon(57984) |
Question 45457: My problem is rewrite log8 (xsquared + 1) in terms of natural logarithms.
The 8 being the base (small 8 at the bottom of the g)
I understand natural logarithms is LN, right? So I turnerd it into
8 to the power of y = x squared + 1.
Then from there I am stuck. Where does the LN come in?
Click here to see answer by Nate(3500) |
Question 46021: Martha can rake the leaves in her yard in 2 hours. Her yonger brother can do the job in 3 hours. How long will it take them to do the job if thy work together?
A)5/6hr
B)6hr
C)3hr
D)6/5hr
and why?
Click here to see answer by Nate(3500) |
Question 46523: how would i solve this problem:
(-4^2)^-3
that is "(negative 4 squared) raised to the negative 3rd power" incase you didnt get that. i dont know if i add the exponents or multiply them or work it out like this:
(-4^2)^-3
(16)^-3
(1/16)(1/16)(1/16)= 1/4096
that just doesnt seem right to me. i really need your help. these summer assignments are killing me. trig is gunna be such a whore next year.
Click here to see answer by askmemath(368) |
Question 46771: The amount of a radioactive tracer remaining after t days is given by A=A0 e^-0.058t, where A0 is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay?
10 days
11 days
12 days
13 days
Thanks
Click here to see answer by adamchapman(301) |
Question 46770: The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. How many years will it take an initial investment of $1,000 to grow to $1,700 at the rate of 4.42% compounded continuously?
a.) 10 years
b.) 11 years
c.) 12 years
d.) 13 years
Thank you so very much.
Click here to see answer by Nate(3500) |
Question 46769: The amount of a radioactive tracer remaining after t days is given by A=A0 e^-0.18t, where A0 is the starting amount at the beginning of the period. How much should be aquired now to have 40 grams remaining after 3 days? Thanks
Choices are:
a.) 47.9 gm
b.) 48.8 gm
c.) 61.6 gm
d.) 68.6 gm
Click here to see answer by adamchapman(301) |
Question 46850: can you tell me which of the following are true?..i have some answers but i want to know if they are correct.
1.)Square root of 1/x = x^-1\2
2.)(x^1/2 + y^1/2)^2 = x+y
3.)1ne^3=3
4.)1n x^2=(1n x)^2
im not too certain about the last two but any help u can offer i will apreciate it! thank you.
Click here to see answer by stanbon(57984) |
Question 46797: Calculate the amount in m years if a principal P is invested at a nominal annual interest rate of r compounded as given. Round to the nearest cent.
P=$480, m=4, r=7% compounded quarterly.
I have tried several times using info I got from this website to work this problem, but come up with some really far-fetched answers. Maybe I'm missing something along the way. Can anyone give me some specifics on how to set this up? Thanks!
Click here to see answer by stanbon(57984) |
Question 46954: If a piece of real estate purchased for $75,000 in 1998 apppreciates at the rate of 6% per year, then its value t years, then its value t years after the purchase will be f(t)=75,000(1.06t). According to this model, by how much will the value of this piece of property increase between years 2005 and 2008?
NOTE: the t in 1.06 is "to the power". Should it be written like (1.06(t))?
Click here to see answer by Nate(3500) |
Question 47145: using properties of logarithms condense the logarithmic expresssion. Write the expression as a single logarithm whose coefficient is 1. where possible, evaluate logarithmic expressions.
3log(subscript x)3 plus log (subscript x)3
Click here to see answer by Nate(3500) |
Question 47490: log2 18+log2 x-log2 3
the twos are lowercase i am having a hard time doing these problems.
log2 x+log2(x+3)-log2x^2
solve x: -5=log2x
e^5x+1=40 solve
7log+log2 32
if f(x)=log2x find f(16)
I have over a hundred problems like these for an exam if i can get someone to show me how to do this by monday will be great
thank you
Click here to see answer by stanbon(57984) |
Question 47675: Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.
Answer:
b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
Using this formula,a=log a/log b, find log2 1000 . Round your answer to the hundredth's place.
Answer:
Show work in this space.
Click here to see answer by Nate(3500) |
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