Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Kuoministers

  • 2 years ago

Help me on this question please... I really dont know where to start thanks!!

  • This Question is Closed
  1. Kuoministers
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\huge3^{x} + 5 \times 3^{x} = 54\]

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

    to start, we need to isolate the variables, we start by dividing both sides by 3^x, then subtract 5 from both sides, and then multiply both sides by 3^x \[3^x + 5 \times 3^x \div 3^x = 54 \div 3^x\] \[3^x + 5 - 5 = 54/3^x\]

  3. DeadShot
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[3^x \times 3^x = 54/3^x \times 3^x - 5\]

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

    \[9^x^2 = 54 -5\]

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

    \[9^x^2 = 51\] so now we find the square root of each side

  6. DeadShot
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sqrt{9^x^2} = \sqrt{51}\]

  7. DeadShot
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the square and square root cancel each other out, so it would be \[9^x \approx 7 \]

  8. Kuoministers
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im not sure but thats not the answer that is in the back of the book :P

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

    divide both sides by 9 \[9^x \div 9 = 7 \div 9\] \[^x = 7/9\]

  10. Kuoministers
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @artix_17

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

    thats not the answer in the book :P

  12. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    whats your answer?

  13. Kuoministers
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2

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

    i think the way he started the question was wrong cause i was told to keep the same base

  15. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yea, 3^x X 3^x can be written as 3^2x

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

    yea i agree on that

  17. Kuoministers
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\huge3^{2x} + 5 = 3^{3} \times 2\] this might help?

  18. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    How did you get that?

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

    |dw:1359366605554:dw|

  20. Kuoministers
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i broke up 54 into 3^3 times 2 cause i wanted to make the base the same which in this case 3

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

    I GET IT :D

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

    |dw:1359366719099:dw|

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

    i didnt see you could factorise 3^x out of that equation!! Thanks so much to both of you :)

  24. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You can do the 3^x X 3^x = 3^2x

  25. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    can't*

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

    you cant?

  27. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No, because its actually 3^x + ( 5 X 3^x )

  28. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You have to either solve inside the bracket first or factorize

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

    oh thanks @artix_17 for pointing that out!! I wouldn't have noticed :P

  30. artix_17
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No problem :)

  31. 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.