A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Find the inverse of y=log base2 (x-5)+2.

  • This Question is Closed
  1. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    first step swap x and y \[\huge\rm x =\log_2 (y-5)+2\] now try to solve for y

  2. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    move the 2 to the left side and then convert log to exponential form

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm getting stuck after 2^log base2 (y-5) which is equal to y-5

  4. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i'm sorry what do you mean by 2^log ?

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so yes technically it looks like this x+2 = y-5 then x = y-3.

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2 to the power of log_2 (y-5) is equal to y - 5 after raising 2 to each side

  7. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well you have to move 2 to the left side so subtract 2 both sides \[\huge\rm x =\log_2 (y-5)+2\] \[\huge\rm x-2=\log_2(y-5)\] right ? now convert log to exponential form

  8. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the*

  9. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439243974430:dw| that's how you should convert log to exponential form

  10. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    let me know if you have any question

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I solved like this

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    inverse: switch x and y, solve for y log(base2)(x-5)+2=y switch log(base2)(y-5)+2=x subtract 2 from each side log(base2)(y-5)=x-2 raise each side to two to get ride of the log 2^(y-5)=2^(x-2) simplify 2^y+0.03125=2^x+.25 subtract 0.03125 from each side 2^y=2^x+.28175 take log base two of each side to bring y down y=log(base 2)(2^x+.28175)

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But the thing is this solution is wrong

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Had this been correct it would had a inverse graph of the original equation.

  15. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good but i don't know ... why did you write 2^(y-5) ?? it should be \[\huge\rm 2^{(x-2)}= y-5\]

  16. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now add 5 both sides ....

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh, that's what I was referring to in the start of this thread but still my solution is not coming up after applying that.

  18. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you have options ?(answer choices ?

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I mean the graphs to check

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No, it is not MCQ. lol

  21. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh okay gimme a sec i'll graph

  22. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay just asking ;P

  23. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    http://prntscr.com/835itz

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    uhhh. my graphing cal. is not showing that. lol I was correct the whole time and here we are.

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Banged my head for 1 hr. on this stupidity lol

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Desmos, right ?

  27. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

  28. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait gimme a sec i'll use Ti-84 ;P lol

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I prefer wolfram alpha although, there are some ranges which desmos fails to achieve. WA automatically adjusts the window according to the range. :-D

  30. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ugh hmm desmos is better than T-84... ;/

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yep but Wolfram Alpha senior to desmos as well :P

  32. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    true

  33. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good luck! :=)

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks. Have a nice day !

  35. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    stupid typos -.-

  36. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    rofl !!!

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.