Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 37330: ) A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?
Click here to see answer by fractalier(2101)   |
Question 37298: 8 ln (x+9) - 4 ln x
Write each expression as a single logarithm with a coefficient of one. Where possible evaluate the logarithmic expressions.
hmmmm.....i must have been out that day and maybe the page was ripped away...I can't figure this out.
Click here to see answer by fractalier(2101) |
Question 38076: Having trouble with this one
Suppose you deposit $20,000 for 3 years at a rate of 8%.
If a bank compounds continuous, then the formula becomes simpler, that is A = Pe^rt where e is a constant and equals approximately 2.7183
Now suppose, instead of knowing t, we know that the bank returned to us $25,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t).
Answer:
Show work in this space
Click here to see answer by fractalier(2101) |
Question 38155: Please help I am stuck on this one,
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:
log ^ (b)a =log a/log b
Using this formula, find log ^ (2) 1000 .
Click here to see answer by Nate(3500) |
Question 38270: Can you please help me with this problem the directions say **Multiply, then simplify each expression
The Expression: x(2x-3)(x+4)
So far i have (2x^-3x)(x+4) but i'm not sure if i did the correct steps. x(2x-3)(x+4) x times 2x wich is 3x then x times 3= 3x-3x(x+4) ok than you do inside then () and that gets you 4x 3x-3x(4x) 3x-3x=0 so your answer is 4x
Click here to see answer by mikeg(1) |
Question 38390: Please help me with these four questions in the review section.
Find the value of v in each equation.
18. log(27) 3=v
20. log(4) 1/16=v
Write each expression as a single logarithm. Then simplify, if possible
24. log(5) 3 + log(5) 6 + log(5)
25. log 6 - log 3 + 2 log 7
Note: (number in para is the base)
Click here to see answer by fractalier(2101) |
Question 38382: 4) For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula,A= P(1+ r/n)^ nt,let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4.
Click here to see answer by Nate(3500) |
Question 38510: Hi please help me with these three problems. I sure would appreciate your help.
Write each expression as a single logarithm. Then simplify if possible.
1. log(5) 3 + log(5) 6 + log(5) 9
(numbers in () are base numbers
Solve each equation. Give your answers to the nearest hundredth.
2. log 0.01 = x - 5
3. 5-2^x = 40
Thank you very much
Click here to see answer by stanbon(57361) |
Question 38510: Hi please help me with these three problems. I sure would appreciate your help.
Write each expression as a single logarithm. Then simplify if possible.
1. log(5) 3 + log(5) 6 + log(5) 9
(numbers in () are base numbers
Solve each equation. Give your answers to the nearest hundredth.
2. log 0.01 = x - 5
3. 5-2^x = 40
Thank you very much
Click here to see answer by Nate(3500) |
Question 38534: Hi can you please help me with these 4 problems? I need to know how to do them by tomorrow May 19 (7PM pacific time). Thank you so much. :)
1. Write this expression as a single logarithm.
4 log5(u) - log5(v) (5 is the base)
Give your answer using the form logA(B).
A =
B =
2. Express y as a function of x. The constant C is a positive number.
ln y = 5x + ln C
y(x) =
3. Express y as a function of x. The constant C is a positive number.
ln y = ln x + ln C
y(x) =
4. Suppose that ln5 = a and ln3 = b. Use properties of logarithms to write this logarithm in terms of a and b.
ln125
Click here to see answer by longjonsilver(2297)  |
Question 39050: We are doing test corrections, so it's not in the book, and i dont understand how the problem can be simplified anymore.
we are doing F(x) and so on, and the numbers that are plugged in are ...
2x^(1/3)DIVIDED BY 4x^(1/4)
-MALISSA
Click here to see answer by stanbon(57361) |
Question 39102: the previous question i addressed may not have been interpreted corrected because ya can't superscript or subscript on this page, the question was
" log a (xy) = 3 and log a (x2y3) = 4" where a is the base... in the second bracket it is x sqaured and y cubed. sorry about that
Click here to see answer by fractalier(2101) |
Question 39101: hey, i have an query about this question on my maths b assignment. It states:
If log a (xy) =3 and log a (x2y3) = 4, determine (where a is the base):
a) the values of x and y in terms of a, using positive indices.
b) an equation of x in terms of y
this question has me completely stumped, any help or suggestions would be much appreciated.
Click here to see answer by fractalier(2101) |
Question 39204: I've been gone so I don't know how to do this problem, PLEASE HELP ME!!
Problem: Find the inverse function
h(x) = -2x + 7
y = -2x + 7
x = -2y + 7
-7 -7
(x-7)/-2 = (-2y)/-2
y= x-7/-2
h^-1=
This is where I stopped because I don't know what I'm supposed to do now. Is it correct so far? Please help, I hope you understood the problem!!!
Click here to see answer by Nate(3500) |
Question 39231: for the function
'e^2x = e^x + 2',
could you please explain how there is only one real answer?
We have to explain, using a graph where the functions
'y = e^2x' and 'y = e^x +2'
are sketched on the same set of axes, why this is so. Thanks alot :)
Click here to see answer by longjonsilver(2297) |
Question 39439: I need this for work ASAP.
What is the derivative
I need this for work ASAP.
What is the derivative
d/dx( f(x) ^ g(x) )
where ^ is the sign of EXPONENTIATION and f and g are function of x.
Please NOTE AGAIN that I am not talking about a compound function, I am talking about one function taken TO THE DEGREE of another.
thanks
Click here to see answer by longjonsilver(2297) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535
|
