A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
using the Law of Logarithms to expand the expression..
Please help!
anonymous
 one year ago
using the Law of Logarithms to expand the expression.. Please help!

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\log \left( \frac{ 10^{x} }{ x(x ^{2}+1)(x ^{4}+2) } \right)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1have you considered first using the quotient rule for log? \[\log(\frac{u}{v})=\log(u)\log(v) \\ \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\log(uv)=\log(u)+\log(v) \text{ is another rule you can use after that } \\ \log(u^r)=rlog(u) \text{ is the power rule which can also be used here }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\log10^{x}logx (x ^{2}+1)+\log(x ^{4}+2)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1I think you forgot to distribute the minus sign

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[xlog10logx(x ^{2}+1)+\log(x ^{4}+2)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but since the denominator is looks like multiplication wouldn't be a addition?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\log(\frac{10^x}{x(x^2+1)(x^4+2)}) \\ \log(10^x)\log(x(x^2+1)(x^4+2)) \\ \log(10^x)[\log(x(x^2+1)(x^4+2)) ] \\ \log(10^x)[\log(x(x^2+1))+\log(x^4+2)]] \\ \log(10^x)\log(x(x^2+1))\log(x^4+2) \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1though could also expand the log(x(x^2+1)) part too

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ooh so the signs changed because of the minus sign before the brackets?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yep that is called the distributive property

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok.. sorry i suck on paying attention to small details.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so could i expand more after log(x(x^2+1))−log(x^4+2)?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1the log(x(x^2+1)) could be expanded more

freckles
 one year ago
Best ResponseYou've already chosen the best response.1notice x(x^2+1) is a product of x and (x^2+1)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would i t be: Logx+log (x^2+1)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yes and don't forget we also have a  sign in front of the log(x(x^2+1) so you have: \[\log(\frac{10^x}{x(x^2+1)(x^4+2)}) \\ \log(10^x)\log(x(x^2+1)(x^4+2)) \\ \log(10^x)[\log(x(x^2+1)(x^4+2)) ] \\ \log(10^x)[\log(x(x^2+1))+\log(x^4+2)]] \\ \log(10^x)\log(x(x^2+1))\log(x^4+2) \\ \log(10^x)[\log(x)+\log(x^2+1)]\log(x^4+2)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1anyways yes log(10^x) =xlog(10) but assuming this is log base 10 you could also simplify the x log(10) more

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it will just become x right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the result is: \[x\log (x)\log (x ^{2}+1)\log (x ^{4}2)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1well you change the sign between x^4 and 2 for some reason

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\log(\frac{10^x}{x(x^2+1)(x^4+2)}) \\ \log(10^x)\log(x(x^2+1)(x^4+2)) \\ \log(10^x)[\log(x(x^2+1)(x^4+2)) ] \\ \log(10^x)[\log(x(x^2+1))+\log(x^4+2)]] \\ \log(10^x)\log(x(x^2+1))\log(x^4+2) \\ \log(10^x)[\log(x)+\log(x^2+1)]\log(x^4+2) \\ x \log(10)\log(x)\log(x^2+1)\log(x^4+2) \\ x(1)\log(x)\log(x^2+1)\log(x^4+2) \\ x\log(x)\log(x^2+1)\log(x^4+2)\] should be right if the log's are in base 10
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.