Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

v.s Group Title

Express the given quantity as a single logarithm. 1/5 ln(x + 2)^5 + 1/2 [ln x − ln(x^2 + 3x + 2)^2]

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. ghazi Group Title
    Best Response
    You've already chosen the best response.
    Medals 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

    • 2 years ago
  2. henpen Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    All of them are base e, surely?

    • 2 years ago
  3. ghazi Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    oops my bad

    • 2 years ago
  4. henpen Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Are there any nice identities for\[\log(a)^b\]? Maybe I'm being stupid.

    • 2 years ago
  5. henpen Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Also- does anyone know how to have latex flow with your text rather than indent?

    • 2 years ago
  6. ghazi Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    no you are right ...and it can be simplified

    • 2 years ago
  7. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    do you know the property of logarithm ? so like ln a + ln b = ? or ln a -ln b = ? or ln a^2 = ?

    • 2 years ago
  8. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    you dont like cooperating nothing ? i like help you here ... come on !!!

    • 2 years ago
  9. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i'm confused

    • 2 years ago
  10. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    why ? so you know that ln a + ln b = ln a*b yes ?

    • 2 years ago
  11. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

    • 2 years ago
  12. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so than do you know how many will be ln a^2 =

    • 2 years ago
  13. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    or ln a - ln b =

    • 2 years ago
  14. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ln(a/b)

    • 2 years ago
  15. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yes and ln a^2 =

    • 2 years ago
  16. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    2ln a

    • 2 years ago
  17. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yes right sure so than these property of logarithms can us in case of your exercise too ?

    • 2 years ago
  18. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    (ln(x + 2) (1/2 ln x / 2ln(x^2 + 3x + 2))

    • 2 years ago
  19. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    [ln(x + 2)] [1/2( ln x / 2ln(x^2 + 3x + 2))]

    • 2 years ago
  20. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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 ?

    • 2 years ago
  21. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yess

    • 2 years ago
  22. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so than how will be ?

    • 2 years ago
  23. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    [ln(x+2)] [ln (x/(x^2 +3x +2)^2)^(1/2)]

    • 2 years ago
  24. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    why ? than you know that (a^2)^(1/2) =a^(2/2) =a so than what will be ?

    • 2 years ago
  25. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    and you know that ln a +ln b = ln a*b

    • 2 years ago
  26. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    [ln(x+2)] [ln (x/(x^2 +3x +2)]

    • 2 years ago
  27. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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 ?

    • 2 years ago
  28. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    do you understand it sure ?

    • 2 years ago
  29. v.s Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no

    • 2 years ago
  30. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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 ?

    • 2 years ago
  31. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so than will result there ln (x+2) + ln (x^1/2) /(x^2 +3x +2) so from this can you continue it ?

    • 2 years ago
  32. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    are you here ?

    • 2 years ago
  33. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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)

    • 2 years ago
  34. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so x^2 +3x +2 how can you factoriz it ?

    • 2 years ago
  35. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    do you know ?

    • 2 years ago
  36. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so x^2 +3x +2 = (x+2)(x+1) is right ?

    • 2 years ago
  37. jhonyy9 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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 ?

    • 2 years ago
    • Attachments:

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.