Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Egirl01
Group Title
2log(x3)+1 = 5
Could you break it down step by step? I'm a bit confused on how to do this algebraically
 2 years ago
 2 years ago
Egirl01 Group Title
2log(x3)+1 = 5 Could you break it down step by step? I'm a bit confused on how to do this algebraically
 2 years ago
 2 years ago

This Question is Closed

Callisto Group TitleBest ResponseYou've already chosen the best response.3
To solve x?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
yes, i presume
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Okay, first, subtract both sides by 1, what do you get?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
you get 2log(x3) = 4
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Right, now divide both sides by 2, what do you get?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
log(x3) = 2
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
haha, that's fine :)
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.0
Don't mind me. @Callisto seems to be doing a fine job teaching so I'll just observe if you don't mind? I'll only respond if you ask.
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Yup! Now, take antilog for both sides. What do you get? Note: antilog = inverse of log For example, logx = 1 => 10^(logx) = 10^1 => x = 10^1 = 10
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
yikes, haha, i'm not for sure. I briefly remember antilogs but I'm not for sure what do with them
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Do you understand that example?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
i'm starting to get it. logx = 1. I understand that but not after that
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.0
If I may, @Callisto perhaps he'd @Egirl01 would understand if you asked her to change the logarithm form to exponential form. @Egirl01 do you know how to do that.
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
No, I'm sorry
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
give me one second
 2 years ago

ByteMe Group TitleBest ResponseYou've already chosen the best response.0
\(\large b^x=y \rightarrow log_by=x \)
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
log^2 = x3?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
logx = 1 is actually just an example...  Intuitively, log a number is the value of the power of the base Let say, I have a number 100, which can be rewritten as 10^2 Now, I take log (base 10) of that number (100), so I'll get 2, since 10 to the power of 2 give me 100. (Sorry if I make it even worse...)
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
No, I understand the piece. so if its simply log, then its naturally log10, and the antilog of log10 is 1/10 right?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
antilog of log 10 is 10. \[\log^{1}(log10) = 10\] antilog is the inverse of log.
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
Alright. So then it'd be 10 (x3) = 2?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
No.... How did you get that?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
the antilog of log 10 is 10, so log(x3) = 2 would turn to 10(x3) = 2? Obviously that is wrong. I'm a bit lost but you can continue onto the next part of solving the equation. I'll eventually figure what I'm doing wrong
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
\[log(x3) = 2\]Take antilog for both sides: \[\log^{1}(log(x3)) = \log^{1}(2)\] Perhaps you can simplify the left first.
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
I still don't quite follow, but continue on. I'll understand eventually :)
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Nope.. It's your turn to work on it... Which part you don't understand ?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
how exactly I create the antilog from log(x3)
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Because you are doing something on both sides... You create antilog to undo the work of log...
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
So the antilog of log10 is 10, right? and the antilog of 2 is what?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Before answering you question, could you please answer few questions first?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
What is log10?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
What is log100?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Can we tell me what number do I have to take log on in order to get 1?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Yes. So, what number do I have to take log on in order to get 2?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Yes! How did you get this answer?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
because you inversed it?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Yes! So, now, can you answer your question? what is \(\log^{1}2\)?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
So 10(x3) = 100?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
No. Another set question questions... What is log10 (again)?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
log 10 is 1
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
You got it right for the right side, it's wrong for the left.
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
What is \(\log^{1}log(10)\)?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Yes. What is \(\log^{1}(log100)\)?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
What is \(\log^{1} (log1000)\)?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
So, we can see that \(\log^{1}\) of log a number is the number itself, agree?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
So, \(\log^{1} (\log y) = y\), agree?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
So, what is \(\log^{1} (log(x3))\)?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Can you simplify the following now? \[\log^{1}(log(x3)) = \log^{1}(2)\]
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Yes! Now can you solve it?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Nice :D and Yes! Do you understand how to solve this type of question now?
 2 years ago

Egirl01 Group TitleBest ResponseYou've already chosen the best response.0
yes! Thank you soooo much for your help! I really appreciate it!
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
You're welcome :)
 2 years ago
See more questions >>>
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.