Logarithmic Definition and 355 Threads

Homework Statement http://img66.imageshack.us/img66/811/untitled1fk8.th.jpg I have no idea what to do, can someone point me in the right direction?

Hi there guys. My first post here. I heard this forum was really helpful so I've signed up lol.I'm trying to get to grips with using Taylor's/McLaurin's formula for series expansions...My main problem lies with expansions of Logarithmic functions.. I want to work out how to expand Logs when...

How many times more intense is the ground movement of an earthquake of magnitude 5 as compared with a magnitude of 3? Using M = log A. Ted

prove: log_a(x^k)=klog_ax i can do the addition and subtraction rules no problem, but for some reason I'm stuggling with this one, just point me in the right direction, or help with the whole thing I'm not bothered, i just hope it aint in my exam tomorrow lol

Find the coefficient of x to the power n in the expansion of log e ( a + bx + cx2 ) where a,b,c,n belong to R. (Note: cx2 means it is c x (X square ) and e is base for which the above logarithm is defined.)

Homework Statement I have a function of temperature, and I am asked to do the following: "Plot it in logarithmic scale as a function of the logarithm of temperature" The Attempt at a Solution Does this mean I just make the horizontal axis, T, a logarithmic numberline? Or do I have to...

I an somewhat a layman, but i came across this problem. For any a & b, (b is not 0): ¤ a/b - a/b =0. [taking log to base 10 both sides] ¤ log(a/b - a/b) = log0. ¤ Log((a-a)/b) = log0. ¤Log(a-a) - logb = log0 ¤ log0 - logb = log0 ¤ -logb = log0-log0 ¤...

Homework Statement solve:Log(subscript 5) X = 1/2log(subscript 5) 25 Homework Equations [b]3. The Attempt at a Solution [/ Log(subscript 5) X = 1/2log(subscript 5) 25 --------------- --------------------- Log(subscript 5) Log(subscript 5) Then they cancel out...

Homework Statement http://img253.imageshack.us/img253/5748/logdiffji4.jpg The Attempt at a Solution I've tried both and i) and ii) however something just doesn't seem right. Can somebody tell me if my method is correct? i) http://img253.imageshack.us/img253/8791/img0186anh3.jpg...

Homework Statement Write this logarithmic form into exponential form Homework Equations N = 0.2 Log4 V The Attempt at a Solution I tried V/0.2 = 4^N doesnt seem to work. I've tried doing various inverse functions but that doesn't seem to work either, giving me a headack :(

Hello you bunch of owls, I'm doing my homework at the moment and I'm curious, how woul I express the logarithmic equation f(x) = log5 (x) + 3 in it's exponential form (where 5 is the base). This isn't part of the homework, I'm just supposed to graph it, but I'm curious as to what the...

Say you have the function f(x)=log(x). If x had dimensions of metres, say, then you can't have x=2m or whatever because dimensions can't be put into the equation to give log(2m). What about if you have x1=4m and x2=2m and put log(4m)-log(2m) Each term doesn't exist by itself, but using...

Homework Statement I got this problem in an exam today, and I think I may have the right answer but I don't understand how I'm supposed to know if I do. It's very confusing. Homework Equations If logb (9) = 1.5 and logb (2) = 0.5 what is logb (5throot(36))? The Attempt at a Solution...

Homework Statement I'm trying to solve this logarithmic equation, which has 3 possible solutions. However, I can only get to one of them. What are other ways I can solve it so I get to these other solutions? Homework Equations (ln x)^3 = 3 ln x The Attempt at a Solution (ln x)^3 =...

hey i know what the log function is log a (x) : can be translated to : a ^ y = x with y to find but with the Ln its ln(x) = e ^ y = x with y to find and e = about 2.7... But why this number ? whats special about 2.7... ? whats the exact value of e ?

I have a question I need to do which I'm stuck on: find a log[base 2](log[base 3]a) = 2 How would I do that? And sorry about the crude representation of the base, but I'm not sure how to do a small 2 or 3 on the computer. Edit: oh damn, wrong forum. I guess it has to be moved to the...

1. ln x^(1/5) = 1/5 ln x which = 1/5 *1/x so overall it = 1/5x correct?? Iam so lost on this problem. 2. F(y) = y ln (1 + e^y) any help would be appreciated

If loga^2=x and loga^5=y, find in terms of x and y, expressions for a) log2^5 b) loga^20 so loga^2 = ____log^2_____ log^a so log^2 = x * log^a Iam not sure where to take it from here or whether I am even going down the right route any help/ideas welcome

Problem: u(x) = u_1(x)u_2(x)\cdot\cdot\cdot u_n(x) Show that u'(x) = u(x)\left[\frac{u'_1(x)}{u_1(x)} + \frac{u'_2(x)}{u_2(x)} + ... + \frac{u'_n(x)}{u_n(x)}\right] Hint: Take the logarithm of u(x) first. I solved this by using the chain rule. Regarding the hint, am I missing...

I am trying to scale the y-axis as follows: 0.1 0.4 0.8 1.6 3.2 6.4 12.8 25.6 51.2 102.4 204.8 406.9 819.2 I want the major units to double with each step up the y-axis, starting at 0.1 and terminating at 819.2. The problem is, I have no idea how to achieve...

Hello, I'm having trouble recovering all the solutions for this equation; here is the work I've managed to produce thus far. logx=\sqrt{logx} (logx)^2=logx 10^logx^2=x <--I'm not sure of this move? x^2=x x^2-x=0 x(x-1)=0 x= 1, 0 I know 0 cannot work, and 10...

a question i couldn't get the right answer to: Differentiate 1. y= 3^x (log(3) x) [3 = base (dont know the right syntax for typing up logs on the web)] what i have so far: y = 3^x (ln 3) (log(3) x) + 3^x / xln3 right...

\sum_{p\leq N}\frac{1}{p}=\log\log N + A + O(\frac{1}{\log N}) Does it mean that we can simply replace the O part with a function that is a constant times 1/(log N)? What would be the difference between A + O(\frac{1}{\log N}) and O(1)?

Hi. I'm having trouble solving for t: 1180 = 98t + 1080e^(-t/10) I know basic properties but I think I am not remembering some idea or specific property to be able to solve this. Thank you for any help.

Pete has access to a scientific calculator and only knows the Definition of a Logarithm and the Change of Base Formula. How is Pete able to solve the following problem?: x^(log base x of y) =

Just a few things that I've been thinking about lately: Are there any taylor/power series that converge to logarithmic functions (f(x)=log(x), etc.)? How would you do this? Is there any series that will graph the traditional bell curve? How would you do this? I remember the derivation...

{\frac{P'(z)}{P(z)} = \frac{1}{z-z_1} + \frac{1}{z-z_2} + . . . + \frac{1}{z-z_n} where P(z)=(z-z_1)(z-z_2)...(z-z_n) Any hints? I've shown it works for a few specific cases..now I have to show that it works for n=k+1. I tried adding a \frac{1}{z-z_{k+1}} term to both sides, and trying the...

Hi, I'm having a little bit of difficulty surrounding three problems I've been working on. All fall within the logarithmic/exponential derivative/limit category... 1.) http://www.synthdriven.com/images/deletable/calc01.jpg The problem I'm having here is with what happens to -sinx to...

Okay i did a search for logarithmic properties and logarithms and couldn't seem to find an explanation for how this particular property works. (log base c of a ) ^ b = b (log base c of a) when i input simple numbers like : a=4 b=3 c=2 Log base 2 of 4 obvioussly the answer is 2, but 2^3...

sorry this should go under the " Homework, Coursework, & Textbook Questions" forum. please delete. i will repost. Okay i did a search for logarithmic properties and logarithms and couldn't seem to find an explanation for how this particular property works. (log base c of a ) ^ b = b (log base...

Hey everyone, I'm having some trouble with a couple HW questions. A little help would be greatly appreciated. 1. Find the derivative of: y=2(arcsin(x^2)) I thought you had to make a u-substition of u=x^2, but it doesn't seem to work out. If anyone could point me in the right direction that...

This is the problem: (A) By comparing areas, show that \frac{1}{3}\ll\ln1.5\ll\frac{5}{12} (B) Use the Midpoint Rule with n=10 to esimate \ln1.5.I've seen these types of "comparing areas" problems but I kind of forgot how to go about solving the problem...I was thinking...

I am working on a homework for a programming class. We have to create a Logarithmic plot and add to it a marker when the program is running on the click of the mouse. That is NOT the problem :) , in fact, that's very simple! My problem, however, is with the scale. When my plot is in linear...

Hi I was wondering what is the relationship between y=a^x for exponential and y=loga (x) for log I koe that we can divided this questiong further such as a) equations --- which I am not sure b) Graphs - I think we can say that the graph of the log equation is the reflection of...

If (log x)^2 + log x^3 - 27 = log x^4 - log x^7, solve for x to 2 decimal places (log x)^2 + log x^5 - 27 = log x^4 - log x^7 (log x)^2 + 6 log x - 27 = 0 Let log x be a a^2 + 6a - 27 = 0 (a + 9)(a - 3) = 0 a = 3 or - 9 log x = 3 or log x = -9 ... x = 10^3 or 10^-9 Please...

what will be the logarithmic function with a vertical asymtote at X = -6 that has the intercept Y = 5 I know the denominator will be x+6 to get vertical asymtote, but don't know how to get Log Function ??

Hello, I know how I need to do the problem, I have figured out an answer as best as I could but I have a feeling the answer is not correct. In fact I'm pretty sure it's not. Anyway, I'm supposed to use the logarithmic differentiation to find dy/dx for the equation: x^y = y^x I know I need...

how can the relationship between y and x in the form Iny = 3+0.2x, be written in the form y = pq^x. I tried many ways, but can't find the righ format, someone help please?

Hello All, I have a very impotant question for you. Any help is appreciated. Given is a logarithmical function: y = log2x (2 is the base) and the y value is known. I have to find out what is the x value in the fewest steps possible. It can be made by giving sample values for x and...

From where I can get the details of lograthmic calculations?How the values are found?and on what basis?

Is it right that \ln(x)^{\ln(x)} = x^\ln(\ln(x))? If i take ln from both sides it looks ok. but when i try to plot \frac{\ln(x)^{\ln(x)}}{x^\ln(\ln(x))} or \ln(x)^{\ln(x)} - x^\ln(\ln(x))? it doesn't gives me straight line. What is wrong?

everybody seems to know at least one of the "proofs" that 1=2 or 1=-1, etc but i had never seen this one before. check it out: everybody knows that log(1+x) = x-\frac{x^2}{2} + \frac{x^3}{3} - ... plug in x=1 & the series converges & we get log2 = 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 -...

These are the problems (Please, just point me in the right direction): y=x^{2}\ln(6x) f(x)=x\ln(12x)

Can someone please differentiate this \!\(Log\\_2\[[x^3 + 1] im stuck because its base 2

y = logx 4 identify the domain and range state whether the function is increasing or decreasing, and identify the vertical asympotote, teh x-intercept and the value of x at y = 1 I need some help! thank you in advance!

How do I find 1. Domain & Range 2. Intervals of increase/decrease 3. max./min values 4. intercepts 5. asymptotes 6. concavity for Exponential and Logarithmic functions. Can someone explain how I do this in detail pleasezz These are the types of questions I have (please don't solve...

I don't know what's wrong with me...I have been studing for 6 hrs straight...and i noticed I have been making stupid mistakes...so can somone tell me what's up with my work...this is what I did. \sum_{n=2}^{\infty}\frac{1}{nln(n)} must show if it converges or diverges soooo this is what i did...

Can you think of a logarithmic function that you encounter in your work or in your personal life? I'm doing a report on this in school of how they can be helpful, and I really have no idea how they can be any use whatsoever. My teacher really didn't give us anything to go on. Actually just a...

Hi everyone. I'm new in the forum and I'd need an help to solve this equation (sorry, I think it's quite easy but I'm not an expert of mathematics..): a*x + b*ln(x) = c where a, b, c are parameters and I need to find the value of x. Do I need to use techniques of differential equations...

Well I have this leftwards arrow in my book describing the solution to a logarithmic function and I've not seen it thus far and (if I was ever introduced to it) have since forgot what it means! When asked to find log(3)9 3^x = 9 3^x = 3^2 <--x = 2 log(3)9 = 2 I'm not sure what the...