Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Express the given quantity as a single logarithm.
1/5 ln(x + 2)^5 + 1/2 [ln x − ln(x^2 + 3x + 2)^2]
 one year ago
 one year ago
Express the given quantity as a single logarithm. 1/5 ln(x + 2)^5 + 1/2 [ln x − ln(x^2 + 3x + 2)^2]
 one year ago
 one year ago

This Question is Closed

ghaziBest ResponseYou've already chosen the best response.1
\[\frac{ 1 }{ 5 }\log(x+2)^5+\frac{ 1 }{ 2 }[{\ln x \ln (x^2+3x+2)^2}]= \frac{ 1 }{ 5 }*5 \log(x+2)+\frac{ 1 }{2 }[\ln x \ln(x^2+3x+2)^2]\] i am sorry to say, this can't be unified because ln and log have different bases
 one year ago

henpenBest ResponseYou've already chosen the best response.0
All of them are base e, surely?
 one year ago

henpenBest ResponseYou've already chosen the best response.0
Are there any nice identities for\[\log(a)^b\]? Maybe I'm being stupid.
 one year ago

henpenBest ResponseYou've already chosen the best response.0
Also does anyone know how to have latex flow with your text rather than indent?
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
no you are right ...and it can be simplified
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
do you know the property of logarithm ? so like ln a + ln b = ? or ln a ln b = ? or ln a^2 = ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
you dont like cooperating nothing ? i like help you here ... come on !!!
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
why ? so you know that ln a + ln b = ln a*b yes ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so than do you know how many will be ln a^2 =
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
yes right sure so than these property of logarithms can us in case of your exercise too ?
 one year ago

v.sBest ResponseYou've already chosen the best response.0
(ln(x + 2) (1/2 ln x / 2ln(x^2 + 3x + 2))
 one year ago

v.sBest ResponseYou've already chosen the best response.0
[ln(x + 2)] [1/2( ln x / 2ln(x^2 + 3x + 2))]
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so the first part is right but the secondly you need to separate 1/5 ln(x+2)^5 = 5/5 ln(x+2) = ln(x+2) this is right so in the second part there are 1/2 (ln x  ln(x^2 +3x +2)^2) = 1/2 (ln (x/(x^2 +3x +2)^2) = ln (x/(x^2 +3x +2)^2)^(1/2) do you understand till now ? can you continue it ?
 one year ago

v.sBest ResponseYou've already chosen the best response.0
[ln(x+2)] [ln (x/(x^2 +3x +2)^2)^(1/2)]
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
why ? than you know that (a^2)^(1/2) =a^(2/2) =a so than what will be ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
and you know that ln a +ln b = ln a*b
 one year ago

v.sBest ResponseYou've already chosen the best response.0
[ln(x+2)] [ln (x/(x^2 +3x +2)]
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
not is right please check it because there is just (x^2 +3x +2)^2 and x on numerator have not exponent 2 so what sign that not can be simplified by 1/2 OK ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
do you understand it sure ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so the first part is right sure will be ln(x+2) OK . in the second part there are 1/2 (ln x  ln(x^2 +3x +2)^2) = 1/2 (ln (x/(x^2 +3x +2)^2)) = ln (x^(1/2) /((x^2 +3x +2)^2)^1/2 = ln (x^1/2) /(x^2 +3x +2) so can you continue it now ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so than will result there ln (x+2) + ln (x^1/2) /(x^2 +3x +2) so from this can you continue it ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so than will be using the property of logarithm log a +log b = log a*b so than will be ln ((x+2)*x^1/2 ) /(x^2 +3x +2)
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so x^2 +3x +2 how can you factoriz it ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so x^2 +3x +2 = (x+2)(x+1) is right ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.2
so than will be ln (x+2)x^(1/2) /(x+2)(x+1) so simplifie by (x+2) and will result ln x^1/2 /(x+1) so do you understand it now sure ?
 one year 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.