Log Definition and 632 Threads

Homework Statement This is my first time ever posting anything on here...but we just started working with ln? I know that it's the base e? or something like that... but the problem is this... 1/3=ln(x^2/x-4)Homework Equations The Attempt at a Solution I haven't attempted..i...

"If your calculator has overflow issues with this problem, you can use this identity to solve for K: if log(K) = x + y then K = 10x * 10y Problem: log(K) = 127.702 K = 5.04316 * 10127 " Doesn't K = 10127 ? Where are they getting the 5.04316 from? How are they using that specified...

Hi I have to perform a fitting procedure on a semi logarithmic scale but I'm not sure how to weigh the experimental data points. I'm studying the decay of the luminescence of a certain type of crystals and the function I'm using has the form I = \frac{1}{\tau} e^{-\frac{t}{\tau}}...

Homework Statement True or false? ln(1/10) = -\int dx/x The Attempt at a Solution I have no idea where to start on this one. what is dx/x ??

Hi, I'm trying to see why the following theorem is true. It concerns the derivative of the log of the determinant of a symmetric matrix. Here's the theorem as stated: For a symmetric matrix A: \frac{d}{dx} ln |A| = Tr[A^{-1} \frac{dA}{dx}] Here's what I have so far, I'm almost at the...

OK, so paraffin is a hydrocarbon, and is a solid form of kerosene or mineral oil... I wanted to try making my own wax logs for starting our wood stove. Could I take dried out sawdust, mix it with a small amount of mineral oil, suck the moisture out of the "shape", allow for it to dry, then...

Homework Statement A professor is doing a problem on the black board and ends up with the expression \frac{Log A}{Log B} = \frac{2}{3} . He absentmindedly cancels the “log”, making the left-hand side A/B. (A very wrong thing to do!) Luckily, he ends up with the correct values for A...

1. Graphing Carefully: Sketch f(x)= 10(ln(ln(x))/ln(x) accurately using calculus, your calculator, or both to aid you. Make sure to include all vertical asymptotes, as well as local extrema 2. f(x)= 10(ln(ln(x))/ln(x) 3. OK. I might come across as stupid but here goes... I don't...

Alrighty, I know the TI-89 keeps up with date and time. It seems logical that it would somewhere inside the chips and silicon it makes a log of the date that data was inputted...rightttt. I made an idiot out of myself and didn't double check my scan-tron after an exam, my professor jokingly said...

I'm given the following problem. A log sits in the woods with a radius "r". Lazy flea wants to jump over the log with the least amount of velocity necessary. If distance "d" away from the center of the log, and angle theta is the angle of velocity above the horizontal. Find theta, d, and v(min)...

Homework Statement If Logb2=A and Logb49=B, what is logb397, in terms of A and B. This is one of the bonus question in my geometric quiz and i don't remember if the number is 397. I wonder if anyone get this? Homework Equations The Attempt at a Solution here is what i did bA=2 and bB=49...

Homework Statement If Logb2=A and Logb49=B, what is logb397, in terms of A and B. This is one of the bonus question in my geometric quiz and i don't remember if the number is 397. I wonder if anyone get this? Homework Equations The Attempt at a Solution here is what i did bA=2...

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. 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 law to...

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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show how

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...