Logarithms Definition and 257 Threads

Homework Statement Express b^{x} as a function of logarithms. Homework Equations There are a couple of equations in the attempted solution. I can't say if they are actually relevant The Attempt at a Solution I've investigated the property y = log_{b}(b^{y}), and also...

Hi I really need ur help I was sick in the days that the teacher gave us the lesson and I really really need ur help this is the equation : 2 log{to base x} of 5 + log{to base 5} of x = log 1000 i know that log 1000 = 3 and 2 log{to base x} of 5 = log{to base...

How do i know when to take the ln of both sides to solve an equation for example would i for y=10^(1-x)-(1-x)^10

for example 3 log (base5) 2 - (1/2)log (base5) 9 how would someone come to work this out i know that you are suppose to divide the 2nd part by the 1st but I am not sure where does the coefficients come in would that mean you multpily the coefficients

logarithms and decibels please Hi i need some good tutorials for the logarithmsI(especialy for logarithms with base 2) and how i can calculate logarithms with base 2 when i have a simple calculator. Also i need some decibel tutorials that can help me understand how i can perform calculations...

Homework Statement Solve Algebraically: Log(subscript4) (a^2 + 2) = Log(subscript 4) (2a + 10) Homework Equations other equations that are similar which I can't do are: Solve Algebraically: -Log(subscript 5) (x + 3) + Log(subscript 5) (x - 2) = Log(subscript 5) 14...

I'm wondering how people used to solve log's. I can't figure out any sort of pattern when I look at certain logs (to figure out a way to solve them by hand) so any information regarding this would be nice. I don't mean like log10(100)=2, that's obvious I mean like log10(20)~1.301, how does...

hello everybody, please help me out, for i am not able to find out log2, log 2.0*10^24 , and log5.please explaine in detail...bye...thankyou..:shy:

Homework Statement Define a, b, and c as the sides of a right triangle where c is the hypotenuse, and a > 1 and c > b+1 show that log_{c+b} a + log_{c-b} a = 2(log_{c+b} a)(log_{c-b} a) 2. Governing equations The Attempt at a Solution Should I assume that a=2 and c=b+2?!

Hey, I really would appreciate some help with this one as I'm stuck on my coursework. It'll probably be easy for most of you but I forgot how to do this operation with logarithms. See this equation: lny = lnx + BlnK + (1 - B)lnL. How can I change that to one that removes the natural...

Hi I need some help! Doing A'level logarithms and am stuck.:rolleyes: log3(x-1)=log8(x+1) So far, I have done these steps... (x-1)log3=(x+1)log8 xlog3-log3=xlog8+log8 xlog3-xlog8-log3-log8 Not sure what to do next to get the solution for x. Everything I do gets the wrong...

My test here asks me to: "Use log5 2 =0.4307 and log5 3=0.6826 to approximate the value of log5 12." According to my textbook I would solve this by subtracting (using the quotient property): 0.6826-0.4307. That = 0.2519. But that number isn't right! log5 12=1.544 (about) Which I found...

Ok I have taken Geometry, Algebra one and two and have 2 more days of pre cal left and I have been worken with logs and stuff like solveing, simplyfing and factoring them but I never found out what they are for... I know how to solve the problems but what do they apply to in real life?

hi, i got 2 problems that are really hard to solve. i don't know wether they are trick question or they just can be incorperated in a formula.i have taken days to solve them but in vain. please help! a) 10(3^(2x+1)) = 2^(4x-3) b) (2/3x)^(log2) = (9x)^(log3) thanks you very much:frown:

1) ((logx)/(log4))^2=((logx^5)/(log4))-4 how do you these problmes...i mean..is there anyway of simplfing the expression ...i am stuck.. regards vijay

my question is simplify: logpie(1-cosx)+logpie(1+cosx)-2logpie sinx (i don't know how to make the pie symbol) i thought it was going to be logpie-logpiecosx+logpie+logpiecosx-2logpiesinx = 2logpie-2logpiesinx But, from my other post I was told you cannot do that with ln's.. is it...

I posted a thread about proving the following: b^(log_b x) = x a while back, and received help in understanding multiple ways to prove it. But I also asked a math teacher prior to requesting help here, he suggested 2 methods: Substitution(also suggested by my physics teacher): Let...

Quick question about logarithms I'm only in gr.11 right now, and I was looking at a gr.12 textbook, since this isn't really homework I decided to post this here, is that ok or is this the wrong board? Well anyway, it asked what the range of of the function y = b ^ n would be (and then what...

I'm only in gr.11 right now, and I was looking at a gr.12 textbook, since this isn't really homework I decided to post this here, is that ok or is this the wrong board? Well anyway, it asked what the range of of the function y = b ^ n would be (and the domain) and also if log(b) n could ever...

I was trying to solve a problem using logarithm. It says x^x =13 I tried to solve it using logarithm but I couldn't. I used a graphing calculator solver and I found it is 2.6410619... Is it possible to solve using logarithm? If not is there another way to solve besides trying and checking?

my complex analysis book uses all three of them... although i know the difference between log and ln, I'm kinda clueless about Log ... any ideas?

I can't seem to find where I am going wrong on this Question. it asks to solve: log_3 (2x+3) - log_3(X+1) = 2 where _3 is the base of 3 for log so far i moved the log_3(x+1) to the right side of equal sign. then i moved the 2 up as an exponent: log_3(2x+3) =...

:frown: I don't remember how to do this x^(2/3)=4 solve for x Do you use logarithm or something?

hello everyone I'm really stuck on logs. My teacher doesn't take pride in her work and teaches very sloppy stuff. I was wondering if I can get help with these questions. 1) log to the base 3 of x - log to the base 6 of x = 2 2) a lab tecnician places a bacterial cell into a vial at 5...

Here's something cute: Consider the graph of ln(x^2) and then consider the graph of 2ln(x), missing anything? I was momentarily caught off guard by this until I realized that when we derive the property: ln(x^a)=aln(x), we choose the positive root. Has anyone ever run into a situation...

Hello there, I am wondering if you could offer some help on this questoin, I have been attempting to work through it, however cannot see exactly what route I should be taking to try and solve it; Without using a calculator or table, show that; 2 < log(3) 25 < 3 (log to the base 3 of 25) and...

log_2(x) + log_4(x) = 2 I've tried everything i can think of, including changing the base - to no avail. Any ideas?!

2^(2x)-2^(x)-6=0 solve for X.. im really lost in this class i just came for one day and the teacher said just try the question using logarithms :S and i don't wahts going on... this is what i did 4x-2x-6=0 2x-6=0 x=3... but the answer is log2(3)

hello everyone~ im having trouble with logarithms. i tried my best to understand at shcool but my stupid teacher couoldnt explain properly. few days passed after the logs lesson, I wasnt sure how to do it.. so i asked the techer,,and he was shouting at me... because i didnt understood him...

is anyone able to recommend a book or a site for a high school senior that explains how logarithmic tables are made and its connection to ln/e.

hi guys, I am not too sure how to do these questions: solve for x, a) (logx^3)^2 = logx^18 b) logx^3 + log(x^logx) = -2 so this is what i got so far: a) (3logx)^2 = logx^18 9logx^2 = logx^18 18logx = logx^18 logx^18 = logx^18 ... then i got stuck... i was clueless and...

log_x 4 + log_x 8 =5 I simplified that to log_x 32 = 5 but I can't get my head around what to do next and it's annoying me because I feel it's going to be something simple. :smile:

The Number "e" and Logarithms Hi, I'm having a lot of difficulty understanding the number "e" and logarithms, especially in terms of differentiating them. Is it just a matter of memorization or are there tricks to finding the derivatives? Help!

Can't get this question, I get the wrong answer: 4.6*1.06^(2x+3)=5*3^x So find x

I tried this question and can't get it: log subscript 3(9 times (9)^(1/5))

I am currently learning about logarithms and I understand that Log base e (or Ln) comes up quite often in solutions of logarithms However, I also heard that it is a number that comes up often in nature Are there any good examples of "e" in nature? Anton

if log2 = x and log3 = y, solve for log(base5)36 in terms of x and y. how do i even get started on this? I'm really confused with logs.

I am working on some homework about binary searches. In case you don't know, a binary search of x items takes at most log base 2 (x) searches to find what you are looking for (assuming it is sorted data of course). Now we are asked if using a phone book as an example, we have a reference to the...

Hello all I need help with the problem attached below. I tried proof by induction, but cannot prove it. P(n) is a polynomial of degree 2n-2. I have to establish the recurrence relation. Any help is greatly appreciated! Thanks

OK I am completely lost :eek: on this log equation: log(3-x) + log(3+x) = log5 Does anyone get an answer of ±2? If so HOW did you do it?

Hi! I'm not sure how I would tackle this exponential equation: 4^x + 4^x+1 = 40 I was using logs to try and solve it but I'm getting nowhere. I don't know what to do exponentially either. Please help! :cry:

Hi Guys, i am new to this forums and my english is poor, but i will do my best. I got stuck with this problem, i think it's quite easy, but i get the wrong answer :frown: F(x) = ln(1+e^x) 1. Show that it has an inverse 2. What is the Range And the Domain of the inverse. I really...

What are logarithms used for?

I'm in grade 11 and I have to do an independent study on Logarithms. I need a problem or puzzle that I will solve after learning logarithms. I was wondering if someone had an example of a really good use of logarithms (i.e. something made a lot easy by the use of logarithms).

We have just recently been doing transformations of sin and cos graphs, but we must find out transformations of logarithm graphs. A typical log function could be log (x). What i want to know is, when you change the base, what would happen to the graph, when you put a number out the front...

Logarithms...i need help. A logarithm of a number is the exponent of the power to which a fixed number. called the base, must be raised to produce the given number. I absolutely do not understand what these things mean. In my textbook it shows a graph of x=10y. Then it follows with 6...

i need help with this one question; we have to write ln9-3ln(squareroot 3) + ln81 in the form kln3 where k is an exact fraction; i don't remember how to do this at all so any help would be greatly appreciated; thanks

Problem 51. At a constant temperature, the atmospheric pressure p, in pascals, is given by the formula p=101.3e^-0.001h, where h is the altitude in meters. Find h when p is 74.3 pascals. Hint: Start by taking the natural logarithms of the expressions on each side of the equation. Solve and...

Greetings all, I'm doing a refresh of calculus and physics in preparation for getting back to school this fall after a 5 year layoff. Most stuff is coming back pretty quickly, but I'm stuck on this one problem. I'm sure I'm missing something small, but I just haven't been able to find any...

Greetings all, I have a slight problem solving this equation ... 3^2x+1 = 3^x + 24 I know I can solve it with logs but I'm just not sure where to begin. I have tried taking logarithms both sides but it didn't work :confused: Perhaps someone could give me a clue :biggrin: thanks