Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

v.s

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

    All of them are base e, surely?

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

    oops my bad

  4. henpen
    • 2 years ago
    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.

  5. henpen
    • 2 years ago
    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?

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

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

  7. jhonyy9
    • 2 years ago
    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 = ?

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

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

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

    i'm confused

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

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

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

    yes

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

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

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

    or ln a - ln b =

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

    ln(a/b)

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

    yes and ln a^2 =

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

    2ln a

  17. jhonyy9
    • 2 years ago
    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 ?

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

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

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

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

  20. jhonyy9
    • 2 years ago
    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 ?

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

    yess

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

    so than how will be ?

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

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

  24. jhonyy9
    • 2 years ago
    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 ?

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

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

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

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

  27. jhonyy9
    • 2 years ago
    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 ?

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

    do you understand it sure ?

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

    no

  30. jhonyy9
    • 2 years ago
    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 ?

  31. jhonyy9
    • 2 years ago
    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 ?

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

    are you here ?

  33. jhonyy9
    • 2 years ago
    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)

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

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

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

    do you know ?

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

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

  37. jhonyy9
    • 2 years ago
    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 ?

  38. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.