Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 444093: PLEASE SHOW ME HOW TO SOLVE THIS PROBLEM, I HAVE AN EXAM TOMORROW AND I NEED TO KNOW HOW TO DO THESE BASIC PROBLEMS. ln√e, please solve without a calculator! AND LOG√2(4)a tutor tried to help me with the last one but im still very lost.
thank you!
Click here to see answer by chriswen(106)  |
Question 446206: The question is: The amount of money A accrued at the end of t years when a certain amount, P, is invested at an annual rate r compounded n times per year is given by: A=P(1+r/n)^nt. How long will it take for $450 at 5% interest compounded monthly to reach $1000? (Write your answer to two decimal places.)
I've set the problem up like this:
1000=450(1+.05/12)^12(t)
1000=450(1+0.00417)^12(t)
1000=450(1.00417)^12(t)
1000=450(1.0512)^t
1000=473.04^t
And that's where I'm stuck. Assuming my math to that point is accurate (and if it's not, could you please help?), how do I go about the problem from this point? How do I get t to no longer be an exponent and move on to get the time?
Thank you!
Click here to see answer by stanbon(75887) |
Question 446668: 
I have figured out that the +2 is not (x+2) but -log(3x)+2. I know that the x-intercept for this logarithm is (9,0) and that this log graphs in Quadrant I with a vertical asymptote being the y-axis. The graph crosses into quadrant IV through point (9,0).
I am suppose to convert and plot this logarithm as an exponent. Then using the X,Y points I devise, invert and use to plot the logarithm.
I am not able to convert to an exponent as I do not know how to handle the +2. I can't seem to reverse engineer this using the points (9,0) either as the negative sign prevents this.
I'm pretty stuck. I would really love some kind of hints to solving this one.
Thank you so much for your time and expertise!!
Click here to see answer by stanbon(75887) |
Question 446668:
I have figured out that the +2 is not (x+2) but -log(3x)+2. I know that the x-intercept for this logarithm is (9,0) and that this log graphs in Quadrant I with a vertical asymptote being the y-axis. The graph crosses into quadrant IV through point (9,0).
I am suppose to convert and plot this logarithm as an exponent. Then using the X,Y points I devise, invert and use to plot the logarithm.
I am not able to convert to an exponent as I do not know how to handle the +2. I can't seem to reverse engineer this using the points (9,0) either as the negative sign prevents this.
I'm pretty stuck. I would really love some kind of hints to solving this one.
Thank you so much for your time and expertise!!
Click here to see answer by scott8148(6628)  |
Question 447839: log base 3 16
there is no equal sing in this problem. it is logarithem. ive looked through my books index to find a lesson on this problem, ive also checked my notes, i was wonder if you could help me out?
thanks
Click here to see answer by Alan3354(69443)  |
Question 447946: The population of a city is growing exponentially. Initially the population was 43,000 while 7 years later the population was 79,700. Find
the population 4 years later (11 years from the beginning)
and the doubling time.
Click here to see answer by stanbon(75887) |
Question 448406: 1. 5*7^0 =
2. 1/4-^2 =
`
3. (1/4) ^-1/2 =
4. (bm)^-3=
5. y^-5/y^-2 =
6. (-243)^3/5=
7.-16^1/2=
8. express in logarithmic form
x^y=P
9.express in exponential form
log b M=y
10. solve for x without tables
x=log e ^e
x=log e 1
x=log e sqrt (e)
11. use matrix methods to solve
x+4y=8
2x+y=9
(4)+(8)
(7) (2)=
(1 8)(7 6)
(0 7)(7 4)=
Click here to see answer by edjones(8007)  |
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