A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
2( log 2 x − log y ) − ( log 3 + 2 log 5)
anonymous
 5 years ago
2( log 2 x − log y ) − ( log 3 + 2 log 5)

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what are you supposed to do about it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it is not an equation. you cant solve it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0cant it be simplified?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You want to simplify it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is it log (2x), or log x to base 2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it is log((2x/y)^2)log 75

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not that log a  log b = log(a/b) and log a +log b = log(ab)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how did u get the answer dhatraditya?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0note also that xlog a = log a^x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[2 (\log(2x)\log y)(\log 3+2\log 5)=2(\log {2x \over y})\log(3*5^2)\] =\[\log({2x \over y})^2\log(75)=\log({4x^2 \over 75y^2})\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think this is the simplest it can be.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so its simplified form is log ((2x/y)^2/75))

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how did u get the 75?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0as I explained, x log a = log a^x so 2 log 5 = log 5^2 = log 25 log a + log b = log (ab) now, log 3+ log 25 = log (3 times25) = log 75

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0solve log base x (5x+24)=2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since logs are not defined for negative numbers, x = 8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how I arrived at the answer, leona?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0?how did u work it out

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how logarithms work?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i know some of the rules

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0tell me what you know about logs? what do you understand by logs?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i know that the logarithm of 1 regardless of the base is one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if i told you log 32 to the base 4 is 2.5, what do I mean by that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0exactly! good! have you tried that in your calculator?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you understand that any number can be represented as a power of another number?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay good. so what do i mean when i say log(5x+24) to the base x is 2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it means that x raise to the power 2 equal (5x+24)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I should have said any POSITIVE number can be represented as apower of any other number (the base)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, so x^2 = 5x+24

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this is a simple quadratic equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0should i square the x^2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why would you want to do that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i dont know how to remove the x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay have you solved quadratic equations before?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you see that x^2 = 5x+24 can be rearranged so that it is in the form ax^2+bx+c = 0?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0after that it is straightforward factoring. Remember that you will get a negative root. You cannot use the negative root, because as I explained before, logarithms for negative bases are generally discarded.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what r the two factors? cant find them

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0did you use the quadratic formula or the factoring method?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay. anything that works, although in this case factoring is more elegant and efficient. remember, you have to discard the x= 3 root

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, do you know the reason why you discarded 3?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0because log not defined for negative numbers

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, its because logs with negative bases only work for even powers. anyway, good job! have a medal.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do a little homework assignment for me. Google "why logarithms are not defined for negative bases" and "why logarithms are not defined for negative numbers". it will help you understand logs much better. all the best!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are u going to be online in the night?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i dont know. I generally come here in my free time to help out.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohh cause i ave exam 2marow and i need more help with other topics

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh.. you can post your questions here so that I get notifications and I'll try to answer them before tomorrow.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok am going to try this question log base x (5x+14)=2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, lemme know how it works out. you should get 7

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0logarithm are not defined for negative values because the log and In graphs have a vertical asymptotic line at x=0 which is the lower boundary of the graph ..in fact the limit as x approaches zero from the right hand side ,the function approaches infinity and that makes the zero point the maximum tolerable value for the x values less than zero

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got 7....using the factoring method

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0your latest logarithm question will go like : \[5x +14=x^{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so \[x ^{2}5x14=0 and then you solve with the quadratic formula \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0need help with this 1....log base 4 (1) +log (25)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so x= 7 or x=2 but when you substitute the x=2 the equation doesnt make sence so x=7 is the answer hope that was helpful

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, what does log base 4 (1) mean?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log to base 4 to a number = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log base 4 of 1 means what power will you raise the number 4 to have a value of 1 so its like : 1=4\[^{x}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it means that 4 raised to a number should be equal to 1. what is that number? we know that any number raised to the power 0 is 1. so log base 4 (1) is 0. so your equation simplifies to just log 25

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohh yeah thats a rule of logs

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes. you should remember the basic rules of logs. Also, understand what logarithms mean. That way, even if you get stuck in your test, you can work it out.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, log 25 = log 5^2 = ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah so the final answer is log 5^2=25

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log 25 without a base specified means the base is a standard base of ten (10)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so are you saying that 10^25 = 5^2, leona?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so it shd read like \[\log_{10} 25=x\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which means 25=\[10^{x}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then what do yoou mean by log 5^2 = 25?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sinse it doent ave a base its base 10 rite?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so x=\[x= \log 25/\log 10\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, we assume that the base is 10 if it is not specified

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yas since it doesnt have any base it means base ten ...youre rite

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so i should use the rule of change of base

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log 25 is simply log 5^2 = 2log5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are you required to find the numerical value of log 25?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you are, just punch it in your calculator and you have your answer.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no that was nt required

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then it is simply log 25, which can be written as 2 log 5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since we know that x log a = log a^x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i now understand that rule

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, use the identities. x log a = log a^x and log a  log b = log(a/b)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0take it one step at a time. what is 2 log x = ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay and what is log x^2log(2+3x)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would it be base 10 since no base is given?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, i meant log a  log b is log(a/b) so log (x^2) = log (2+3x) = ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry log (x^2)  log (2+3x) = ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay it is log(x^2/(2+3x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so log (x^2/(2+3x)) = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so if log A to the base 10 is 1, what do i mean by that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, so if i say log(x^2/(2+3x)) = 1, what do i mean by that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it means log 1 = x^2/2+3x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, pay attention to the last two statements i made and post your answer. think about it carefully.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if log a = 1 means a = 10^1 then log(x^2/(2+3x)) =1 means x^2/2+3x = 10^1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now its just a quadratic equation. solve it and find the values of x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0rearrange it for me plz

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, you can do this on your own. multiply both sides by 2+3x and post what you got.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[x ^{2}/(2+3x) = 10\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0multiply both sides by (2+3x) to get \[x ^{2} = 30x+20\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont understand how you got 4+12x+9x^2=20 +30x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how to manipulate equations?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.