Log Definition and 618 Threads

Here is what the graph looks like on a graphing calculator (notice the equation at the top): http://img62.imageshack.us/img62/8898/graphingcalc.jpg Here is what my graph looks like: http://img53.imageshack.us/img53/7475/lastscanc.jpg I don't understand why the asymptote is...

Homework Statement y and x are both close to 1. ln(y) - ln(x) \approx (y-x)(lnx)' Can someone explain me why this is true? By the way, (lnx)' is the derivative of lnx, which is just 1/x The Attempt at a Solution I guess this is something to do with the taylor series of ln(x). I tried to...

Homework Statement 10^{log_{100}4} Evaluate. I'm on a school computer, i cannot see TEX images. Sorry if their not 100% correct.[/color] The Attempt at a Solution I solved this answer, and got 2. i did this by making the above equation: 100^\frac{1}{2}(log_{100}4) then using a log...

Homework Statement This is not a homework question. Understanding how log_{\frac{1}{2}}\frac{1}{9} = log_2x^2 The Attempt at a Solution Somehow, the base of the first logarith was turned into 2^-1, no problem, but he was able to put the negative up in front of a log to equal...

Preparing for the math test, and cannot understand what to do for one of my practice problems: I need to find if the series is convergent or divergent, using test for divergence (divergent if limit doesn't equal 0) sigma from 1 to infinity of ln((n^2+1)/(2n^2+1)) I see that I should use...

Hello, I have been trying to make a parametric plot with logarithmic axes in Mathematica, but have been unable to find an option to do this. Can someone tell me how to do this? My code is below, and for reference, EnergyScint[b] is the Bethe-Bloch equation for energy deposit for a fully...

Can anybody solve for x? 6=(36/9)ln(120/x) The answer is x=22.3 I have so far got: 6=4*ln(120)-ln(x) 6=19.15-ln(x) I think it may be incorrect

If I see a formula that contains LOG, but does not specify as base, how do I know what base they're referring to? Programming languages assume LOG means base e. My calculator assumes LOG means base 10. I've seen math teachers assume it meant base e. If its base anything other than 10 or e...

Homework Statement Guys how come ln(e)=1 ? How can l prove this

Homework Statement The solution of 2^(2x+3) = 2^(x+1) + 3 can be expressed in the form of: a + log2b where a, b belong to the set of complex numbers. The Attempt at a Solution (2^3)(2^x)^2 = 2^(x+1) + 3 [8((2^x)^2)] - [2(2^x)] - 3 = 0 Solving the above quadratic for 2^x, I...

1.For example a.http://img40.imageshack.us/img40/9514/problem2m.png b.http://img193.imageshack.us/img193/4250/problem2ans.png When do you use ln in integrals?

hi i want to knw the formula to find error in log for example they give me a value of 2.6 +or- 0.1 now they say log this value and give the error i log it and i get 1.176 ok but now how to find the error in log i knw there is a forumla but i forget it

Homework Statement Find the sum of the series, if it converges, of n=1 to infinity of ln(n/(n+1)) The Attempt at a Solution My intuition tells me the series converges because as n goes to infinity the series is taking the log of 1, which is 0. How to sum it though... I have no...

i need help with the following quesitons; a) log_3 27x^2 b) ln (x^2 / y^2) c) ln (xe^x) d) log (2x + 3y) i don't mind if you could direct me in the right direction and i will do my best to go from there :) USING THE RULES FOR LOGS, SPLIT THE FOLLOWING UP INTO SEPERATE...

hey guys, i have a question, then i will show my solution, is there any chance you guys could help me find an easier way to get to the answer, cheers question: log_3 3x answer: log_a (yx) = log_a (y) + log_a (x) log_3 (3) + log_3 (x) log_a (y) = x -> y = a^x -> log_a (a) = 1...

Homework Statement Hi, I am trying to prove for a>1, b>1 that f(x) = O(log_b(x)) then f(x) = O(log_a(x)). [Hint: log_b(x) = log_a(x)/log_a(b)). Homework Equations The Attempt at a Solution Assuming |f(x)| <= C|log_b(x)| true for x>k, then, f(x) <= log_a(x)/log_a(b)| for all x>1...

proof for the differential log rule proof for the integral log rule please and thankyou

Hi, I am trying to represent my data in log2 form rather than "fold change" and I am embarrassed to say I can't remember how convert the error. For example, I have x=3.96 (mean), deltax=0.28 (standard dev). Thus, log2(x)=0.598. But how do I convert the error?? I know how to do it for...

http://img205.imageshack.us/img205/6923/logp.png What is the meaning of '+' above log? Is there an equivalent expression for this? Thanks

Homework Statement [Intgrl]ln(x^(2)+4)dxHomework Equations [Intgrl]udv=uv-[Intgrl]vduThe Attempt at a Solution [Intgrl]ln(x^(2)+4)dx, u=ln(x^(2)+4), du=(2x/x^(2)+4), dv=dx, v=x xln(x^(2)+4)-[Intgrl](2x^(2)/(x^(2)+4))dx

Homework Statement log_4(5-x)-log_4(3-x) = 2 The Attempt at a Solution log_4(5-x)-log_4(3-x) = 2 log_4\frac{3-x}{5-x} = 2 where do I go from here?

Homework Statement 2.3(1.2)^5z = 3(4.1)^z solve for z Homework Equations the properties of logarithm The Attempt at a Solution okay I first divided the 3 with 2.3 and got 1.304 then i brough the 5z and the z down which gives me 5z log(1.2)=1.304 z log(4.1) then i plugged log of 1.2...

Homework Statement Solve: log3^(2x-9)-2log3^x=-2 Homework Equations None The Attempt at a Solution I am confused with one part of this equation. With the 2log3^x, can you move the x to the front to make it 2x log3?

Title says all.

My group had a design based on the http://www.analog.com/en/rfif-components/log-ampsdetectors/ad8302/products/product.html" which was going to do our task of phase detection by use of what I can best tell was just some log amplifiers and . Well the AD8302 is a TSSOP package and I cannot...

Hey, Is nlogn (or more specifically nlog[base2]n) the same as: n multiplied by logn? Thanks

Homework Statement Limit as p->infinity of ((p^2-p+1)/((P+1)^2)^(2p+3) In case the parenthesis are confusing, its one giant fraction all raised to the (2p+3) power. 2. The attempt at a solution I set the entire problem equal to L and took the ln of both sides. This let's me move the...

Homework Statement http://img21.imageshack.us/img21/2327/nummer1.jpg Homework Equations 6(a) y=2 so the answer should about 3,3 The Attempt at a Solution 6(b) Proplem is that i don't know what the opposite(invert) of log3 is... then i could take that opposite and use it on...

Homework Statement find dy/dx of log3*arccsc2^x The Attempt at a Solution I got up to 1/ln3csc2^x * 1/2^x(sqrt(2^2x-1) However there's also a 2^x*ln2 after that How is that? In otherwords how would I derive 2^x would i treat it like e^x or something? Also if its x^x why would that be 1+lnx?

Homework Statement http://img205.imageshack.us/img205/2327/nummer1.jpg Homework Equations If you use ti-89 titanium, you write log with base(b) (c=number) as log(c,b) fx; the log of 3x in base 5 is written log(3x,5) (log5(3x))took me forever to figure out The Attempt at a Solution I...

Homework Statement find f '(x) of 5^xsinhx Homework Equations i feel like I am missing somthing can someone direct me to the right direction pleasee? The Attempt at a Solution product rule (f ')(g)+(f)(g ') f=5^x g=sinhx 5^xsinhx= e^ln(5)^xsinhx...

Homework Statement A log is floating on swiftly moving water. A stone is dropped from rest from a 75-m high bridge and lands on the log as it passes under the bridge. If the log moves with a constant speed of 5.0 m/s, what is the horizontal distance between the log and the bridge when the...

Homework Statement How would I begin to integrate ln(t+1) from 0 to e^2x? Homework Equations d/dx[log base a of u]=1/(lna)u du/dx Can the original equation be manipulated to use this derivative? The Attempt at a Solution Not sure where to start.

If log_2 (5) = x and log_2 (3) = y , determine an expression for log_2 (15/2), in terms of x and y. A. xy B. x + y C. xy - 1 D. x + y - 1 I'm suppose to solve this by hand but it doesn't seem possible. I tried so many ways but the does not come out as D. which is the answer Can someone...

show how log [(x-y)/3]=1/2(logx+logy) is equal to xsquared+ysquared=11xy does anyone know how to solve this. i have tried all kinds of ways though none of them seem to work. any help would be very much appreciated!

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Homework Statement Solve for x: 2log3x + log3(x-1) = log32 + log36x Homework Equations N/A The Attempt at a Solution Ok, so I tried to solve it and I came up with this and got stuck. log3(x3-x2) = log312x Even if I canceled out the logs it would be x3-x2 = 12x and then how would...

Homework Statement 3 = Log2x 64 Homework Equations N/a The Attempt at a Solution 3 = Log2x 64 2x3 = 64 x3 = 32 x = Cubic root of 32 x = 3.1748 I'm fairly certain the answer has to be 2 b/c 2x would be equal to 4, and 43 = 64. Anyone mind helping me on this one? Probably...

Homework Statement \int\int-xlogy dy dx the only problem i have is finding the integral of logy i know i have to integrate my parts with u = logy and dv=dy the book says the the integral of logy is ylogy-y but isn't the derivative of logy equal to 1/ylna where a is the base? so isn't...

Homework Statement 1.) 3logx2y + 2logxy 2.) 4logabc - 2loga2b - 3logbc Homework Equations The Attempt at a Solution I know that 3logx2 is the same as 6logx but I don't know what to do since there's a y there

Homework Statement Solve the equation log x4 - log x3 = log 3x - log 2x I know the laws of logs and I cleared all the other log questions in seconds but I can't figure this one out Homework Equations I know that log x4 - log x3 is the same as log x4/x3 but what I was wondering is if...

I'm having trouble with this question. The percent "P", of caffeine remaining in your bloodstream is related to the elapsed time, "t', in hours, by t = 5(log P/ log 0.5) a) How long will it take for the amount of caffeine to drop to 25% of the amount consumed? b) Suppose you drink a cup...

Coupling constants run with the logarithm of energy. This is a result of renormalization, its equations, and the change of the effect of the virtual particle cloud with energy. Is there a simple way to understand why this happens with the log of energy, instead of with another function...

Homework Statement Question is f(x) = log10(x/x-1), find f `(x) Homework Equations so I used the formula d/dx loga(u) = 1/uLNa . (d/dx U) The Attempt at a Solution (1/(x/x-1)*ln10)*1/(x-1)^2 I used quotent rule for d/dx U part. editing Final Answer I got is...

Homework Statement log x2 + log x - log 2.7 = log 10 solve for x Homework Equations The Attempt at a Solution this one i really don't know how to do. I can't find any examples, but this is what i tried (youre going to be like, what? but i had to attempt it.) I think when logs...

Hey all. I'm having some problems with the partial derivatives of e. I understand the basics such as exy2. where I'm getting confused is with the following dz/dx=e(x+y) and dz/dx=1/ex+ey Can anyone help me out with understanding these??

Homework Statement Log [with base x]216 =6 Find x Homework Equations The Attempt at a Solution Ok, so I put the log equation into exponential form. It now becomes: x^6=216 I'm lost on what to do next.. I've tried taking the e and ln of both sides, but when I check it, it's...

Homework Statement We're doing a lab and we basically had to find ln(Pv), where Pv is vapor pressure of isopropanol. Well, the pressure is initially measured in kPa, but what happens to the units if you take a natural log of that whole thing? For example, if I take ln(5 kPa), do the units...

Is log49/4+log9/35-log21/10 = log2/3 ? I've tried and I'm here 2log1/5+2log2/5-log7=log2/4 , if I didn't do anything wrong, but I don't know what to do then , please help me !