Log Definition and 618 Threads

  1. A

    Average Data from Multiple Excel Log Files

    I have a lot of Excel spreadsheets which are actually log files from a test (so they all have the same structure) and I need to get the data (a number) from a specific cell (same cell) in each file and do their average. Does anybody know an efficient method to do this?
  2. G

    Log Length in L-shaped River Channel

    Homework Statement Two rivers of unequal width (64m and 125m) meet at a right angle, forming an L-shaped channel. What is the longest possible log you can float on it? Homework Equations The Attempt at a Solution I tried for equal widths and built a recursive algorithm for turning...
  3. F

    Using L'Hospital's rule with roots and log functions

    Can someone help me use L'HOP to determine lim x -> 0 [ \sqrt{x}*ln(x) ] ? I'm confused!
  4. J

    Why are log graphs of different equations not all regular parabolas?

    Can someone explain to me why the graph of: logy=logx² is the graph of a regular parabola logy=2logx is the graph of half a parabola (x>0) logxy=2 is the graph of half a parabola except x>0 and x cannot be equal to 1 I just don't understand why they're not all normal parabolas, and...
  5. J

    Integrating Natural Log Function using Integration by Parts Method

    Integrating Natural Log Function using "Integration by Parts" Method Homework Statement The problem says to integrate ln(2x+1)dx Homework Equations I used u=ln(2x+1); du = 2dx/(2x+1); dv=dx; v=x The Attempt at a Solution So, I integrated it using that (above) 'dictionary' and I...
  6. B

    Verify: Is a^(log n) = n^(log a)?

    Hello: I seem to recall a vague truth that a^(log n) = n ^ (log a)? Can someone verify? Thanks.
  7. L

    Can I Plot Log (x) with Error Bars without Changing err_x Values?

    Hello, I have a column of 'x' values, each with an error 'err_x' serving as error bars. My question is: If I need to plot 'log(x)', Do I need to make any changes to 'err_x' to reflect the log operation before plotting them as error bars ? Thank you in advance Lorna
  8. G

    A natural log inequality with absolute value

    Homework Statement F(x) = (8-12ln|x|)/(x^4) > 0 (a) For what values of x is the expression F(x) defined? Write your answer in interval notation. (b) At what value(s) of x is the expression F(x) equal to zero? If there is more than one answer separate them by commas. (c) The set of...
  9. H

    How do I find the inverse of a log function?

    Homework Statement f(x) = log2 x + 3 2 log2 x − 1 how do i find the inverse of this? how do i find the range and domain of a log function? Homework Equationsf(x) = log2 x + 3 2 log2 x − 1 is equal to f(x) = log2 x + 3 - log2 (x − 1)2 D of f(x) = R of f-1(x) The...
  10. J

    Calculate Base 10 Logs Without Calculator

    Is there a way to calculate multi digit base 10 logs without a calc or tables? eg.. what is ? log (base 10) of 1381.42?? (without a calulator)??
  11. R

    Calculating Normal Force of Log on Bullfrog

    A second 0.63 bullfrog is on a log tilted 33 above horizontal. How large is the normal force of the log on this bullfrog?
  12. D

    Integration by parts help natural log hurry tired

    Integrate the function. (3x)/(3x-2) I am spose to use integration by parts but i don't know how to integrate 1/(3x-2). anybody help??
  13. T

    Re-Defining Log: Can We Make it Intuitive?

    Would it be okay to redefine the complex definition of Log and define it for example C\[0,infinity)? I guess then you would have Log z = log |z| + i Arg(z) where -Pi<=Arg(z)<Pi Everything would work fine? But then you can't have Log 5 for example which would be very counter unintuitive.
  14. X

    Evaluating Integral with a natural log

    I hit the submit instead of the preview. please wait Homework Statement \int9s9^s dsHomework Equations ∫udv=uv-∫9^sds-∫vduThe Attempt at a Solution u=9s du=9ds dv=9^s ds v=∫9^sds =∫3^(2s) ds =3^(2s)/[2ln(3)] this is as far as i have gotten. Am i correct so far?
  15. C

    Simplifying Logarithmic Ratios: How Do You Do It?

    how the heck do you simplify this ? (Ln (2x/y) / Ln (x/y)) = m/n HELP ME!
  16. F

    Log laws (possible error in answers)

    ive got integral[(2/(2-z))+(2/(1+2z))]dz=integral dv/v then the next line is ln|v|=-2ln|2-z|+ln|1+2z|+c when i equate this i get rid of the 2 as a common factor integrate the V side first and multiply through by 1/2 giving me ln|2-z|+ln|1+2z|=1/2ln|v| which i don't think is the same as...
  17. M

    Help with log integration/differntiation

    I'm having trouble on these two problems. Can anyone give me a step by step explanation on how to do them (or one of them)? 7. Find f'(x), if f(x) = \left|\frac {x^2\left((3x + 2)^{\frac {1}{3}}\right)}{(2x - 3)^3}\right| 13. Perform the integration: (a) \int(x-1)e^{-x^2+2x}dx (b)...
  18. J

    What is the graph of y = log base 1 x?

    I know that logarithms to the base 1 is undefined, due to the reason that: \log_1{x} = \frac{\log_a{x}}{\log_a{1}} And this leads to divison by zero, which is undefined. There was a question in one of my textbooks that asked describe the graph that results if y = \log_1{x}. Is such a graph...
  19. I

    Understanding Natural Logs and e: Simplifying Expressions with ln and e

    I am starting my first year of college and I reviewing my high school notes from trig pre-cal and there was one thing I couldn't figure out. It was a multiple choice question and I don't have the textbook anymore but the answer I circled I can't understand how I arrived to that answer...
  20. A

    Solving Natural Log Equations: Tips & Tricks

    Homework Statement sqrt(ln(x)) = ln(sqrt(x)) Homework Equations The Attempt at a Solution I've been trying to do this for some time now. Could anyone give some tips on how to get started with this?
  21. X

    Is My Derivative Calculation for a Logarithmic Function Correct?

    1. Given Y = ln [ (x+1)^3/((x^2)-1)^(1/2), find y' 2. I came out with the following answer to this question: (3x-4)/((x^2)-1) How ever, I typed the question into an online derivative calculator (to hopefully check my asnwer as I have no answer key, and want to make sure I'm on the...
  22. X

    Derivative of a Log function: Y=ln( )

    1. Given Y = ln [ (x+1)^3/((x^2)-1)^(1/2), find y' 2. I came out with the following answer to this question: (3x-4)/((x^2)-1) How ever, I typed the question into an online derivative calculator (to hopefully check my asnwer as I have no answer key, and want to make sure I'm on the...
  23. humanino

    Google/Youtube log, 14 terabytes to Viacom

    I am glad I never created an account on youtube. I do not use it much. Viacom will not be able to know which video I have been watching. I wonder, once they found you watch copyrighted material every day, what will they do about it ?
  24. T

    How Do You Solve log_{2}8x^{2} When log_{2}x Equals p?

    Homework Statement Given that log_{2}x = p a) Find log_{2}8x^{2} in terms of p The Attempt at a Solution take the power outside the log 2log_{2}8x but i can't see what to do next Any suggestions Thanks :)
  25. T

    Understanding Exponential and Natural Log Rules: Is this Simplification Correct?

    Is it true that e^{2(2x+ln2)} = e^{4x}e^{2ln2} I can't see how that is true? According to a paper mark scheme it is. Can someone clarify Thanks :)
  26. T

    The coefficients of a power series for natural log

    Homework Statement The function f(x) =ln(10 - x) is represented as a power series in the form f(x) = (sum from 0 to infinity) of c_{n}x^{n} Find the first few coefficients in the power series. The Attempt at a Solution I know how to find the coefficients in a normal looking...
  27. D

    How do logs work with multiple bases and negative exponents?

    how do logs work when it's like this. 3 log10 y = -2 log10 y = a 10^a = y so it's 10^-2 = y but where does the 3 go, and why does it go there. I'm not sure.
  28. F

    Finding a limit with the natural log function

    i need help with this: lim x->\infty of \frac{ln(2+h) - ln(2)}{h} i have no idea where to even begin! i tried resolving it, but it didn't help :[ any suggestions??
  29. D

    Question of enthelpy of vaporization the diference from ln to log

    hi, I'm new around here but i really need your help this question is similar to one already solved here some years ago so my problem is: 1.The vapour pressure of benzene between 10°C and 30°C fits the expression log(p/Torr) = 7.960 - 1780/(T/K). Calculate (a) the enthalpy of...
  30. R

    Solving Strange Log Identity - Richard

    Hey folks, I'm reading the paper: http://arxiv.org/abs/hep-ph/0301168 and I'm trying to make sense of the first line of eqtn 44 where he states that we can write: \frac{1}{2}\sum \int\frac{d^{2n}k}{(2\pi)^{2n}}log(k^2+\frac{m^2}{L^2}) as...
  31. B

    Mathematica Plot X-axis Log & Y-Axis Linear with Mathematica LogPlot

    I am a new user of Mathematica software, and need to plot a quite complicate function using a semi-Log type plot. The function that the software provides is LogPlot however this function plots the Y axis in Log scale and the X in linear scale, but I need the exact opposite, to plot the X axis in...
  32. E

    How do e^lnx and 8^log8x simplify to x?

    I don't know how I managed to forget this one, but I did somehow... If there's something like: e^lnx, why is that equal to just x? and same goes for sokmething like: 8^log[SIZE="1"]8x which is just equal to x. I'm just wondering how, algebraically, one could show this to be true.
  33. A

    Distribution of Log of Random Variable

    Let X and Y be random variables. X ~ N(u,s^2) Y = r ln X, where r is a constant. What is the distribution of Y? (This is not a homework problem. It's just related to something I was curious about, and I can't figure out how to solve this, if it is solvable...)
  34. T

    Solving Unusual Log Problem: Find x in ln(x+2)-ln(x+3)+ln(x)=1

    Homework Statement Solve for "x" in the equation: ln(x+2)-ln(x+3)+ln(x)=1 The Attempt at a Solution This unusual ln problem really has me stumped with what to do and usually this stuff has given me no problems. I can't isolate the x because e is always in the way of solving it...
  35. P

    Simplify fully: log a + log b – log b^2

    Homework Statement Simplify fully: log a + log b – log b^2 The Attempt at a Solution I don't even know where to start...
  36. A

    How to solve a Nonhomogeneous differential equation with natural log?

    y''-y'-30y=ln(t) My attempt: i tried to use the method of undetermined coefficients. y''-y'-30y=ln(t) Y(t)=A lnt Y'(t)=A/t Y''(t)= -A/t^2 I also tried: Y(t) = A ln(t) + B 1/t + C 1/t^2 now I am stuck...any help??
  37. G

    Different ways that Log appears

    Not so much a question query here but a query about how my question is written. Im having to do some integration and my question has one part loge (log sub e). I think that this is just natural log which i usually see written as ln(x). Is this correct? However my table of integrals has...
  38. R

    Derivative of metric and log identity

    Has anyone seen this identity: g^{ab}\nabla g_{ab}=\nabla ln|g| I've seen it used, but want to figure out where it comes from. Does anyone know a name or have any ideas??
  39. D

    Frictional forces acting on log Application of Newtons Laws

    A rope is tied to a 97.8 kg log. When you pull on the rope with a horizontal force of magnitude 706 N, the log moves at constant speed. a) Find the magnitude of the resistive (frictional) force acting on the log. You may assume the frictional forces acting on the log is constant. N b)...
  40. D

    Average of Log of a Function: Bounded by 1 and Convex

    Hello, I am interested in the average behaviour of the log of a function. I know the average of the function over the range of interest: F = \frac{1}{(b-a)} \int_a^b f(x) dx. I also know that f(x) is convex and bounded from below by 1. I want to know the average \frac{1}{(b-a)}...
  41. S

    Finding Units of k in t = k√(h)/d² Equation | Log-Log Graphing Question

    Question asked to find the units of k after you find the porpotionality statement i ended up getting t\propto\frac{\sqrt{h}}{d^2} so i turned that into an equation and end up with t=k\frac{\sqrt{h}}{d^2} solved for and found it on average to be 30 now the question is asking what the...
  42. F

    How to Find the Limit of (tanx)^cosx as x Approaches Infinity?

    Homework Statement Find the limit of (tanx)^cosx as x-->infinity Rearrange the equation so that you can use L'Hopital's rule for the form of (infinity/infinity) The Attempt at a Solution I did ln(tanx)^cosx = cosxlntanx I know the limit of tanx as x-->infinity is pi/2 the limit of cosx as...
  43. B

    Why Can't You Simplify Natural Logs of Negative Numbers?

    I've got a simple question that's been bugging me for a while. I think I know where the problem is, I'd just like a formal mathematical reason why I can't say this: \ln{(-1)}^2 = \ln(1) = 0 That part is fine...but then: \ln{(-1)}^2 = 2 \ln(-1) = 2 (i \pi) when they should...
  44. D

    Newbie Seeks Math Assistance: Log Questions & Calculus Textbooks

    [SOLVED] Help a newbie! Hey everyone. This will be my first post. A little background info: I have a bit of math anxiety due to doing very poorly with it in school despite a bit of effort. I had finished college in May with a degree that required only Statistics. My last year, I had...
  45. M

    Logarithmic Scale Calculation | Ritcher Scale Homework Example

    Homework Statement See image Homework Equations M = log(I_i / I_o) The Attempt at a Solution See image
  46. Andre

    Log, Rock & Scissors: Nature's RPS

    Roshambo is the name for a popular two-person hand game. It may also be referred to as Paper, Rock, Scissors. Rock blunts scissors, scissors cut paper, paper folds around rock. Nature plays it too. But instead of paper it uses logs: Log folds around rock...
  47. C

    Natural Log and Inverse derivatives

    Homework Statement Let f be the function given by f(x) = ln [ x/ (x-1)] (a) What is the domain of f? (b) What is the value of the derivative of f at x = -1. (c) Write an expression for f^(-1) of x, where f^(-1) denotes the inverse function of f. The Attempt at a Solution a. x / x-1...
  48. C

    Intensity Increase for 30dB & 22dB: Log Homework Solved

    Homework Statement A hearing aid increases the sound intensity level, thereby allowing a person to hear better. For the following decibel increases, by how much does the intensity of sound increase? a)30dB b) 22dB Homework Equations \beta=10log (I/Io)The Attempt at a Solution I substitute...
  49. Z

    How Is the Integral of Natural Log of x Calculated?

    can someone please explain this to me?
  50. K

    Solving Log Equations: How to Use Logarithmic Properties | Homework Help

    Homework Statement Solve the equation log base 7 (7x+8) = log base 7 (7x+3) Homework Equations I don't think you use equations for this, just the properties of logarithms The Attempt at a Solution I thought since they have the same base you could set the parts in parenthesis equal to each...
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