A community for students.
Here's the question you clicked on:
 0 viewing
v.s
 3 years 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]
v.s
 3 years 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]

This Question is Closed

ghazi
 3 years ago
Best 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

henpen
 3 years ago
Best ResponseYou've already chosen the best response.0All of them are base e, surely?

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

henpen
 3 years ago
Best ResponseYou've already chosen the best response.0Also does anyone know how to have latex flow with your text rather than indent?

ghazi
 3 years ago
Best ResponseYou've already chosen the best response.1no you are right ...and it can be simplified

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2do you know the property of logarithm ? so like ln a + ln b = ? or ln a ln b = ? or ln a^2 = ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2you dont like cooperating nothing ? i like help you here ... come on !!!

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2why ? so you know that ln a + ln b = ln a*b yes ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so than do you know how many will be ln a^2 =

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2yes right sure so than these property of logarithms can us in case of your exercise too ?

v.s
 3 years ago
Best ResponseYou've already chosen the best response.0(ln(x + 2) (1/2 ln x / 2ln(x^2 + 3x + 2))

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

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so 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 ?

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

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2why ? than you know that (a^2)^(1/2) =a^(2/2) =a so than what will be ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2and you know that ln a +ln b = ln a*b

v.s
 3 years ago
Best ResponseYou've already chosen the best response.0[ln(x+2)] [ln (x/(x^2 +3x +2)]

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2not 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 ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2do you understand it sure ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so 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 ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so than will result there ln (x+2) + ln (x^1/2) /(x^2 +3x +2) so from this can you continue it ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so 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)

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so x^2 +3x +2 how can you factoriz it ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so x^2 +3x +2 = (x+2)(x+1) is right ?

jhonyy9
 3 years ago
Best ResponseYou've already chosen the best response.2so 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 ?
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.