A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

2^x+3=5^x If someone could take me step by step in this problem????

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

    okay, so in this problem, you have to be familiar with the log function (which i assume you are)

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

    A little, thats what we are learning now

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

    I know that I have to natural (ln) each side..

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

    I came up with an answer of 2.269 I just know its wrong...

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

    if someone is good with vectors here, so plz give some thought to my question as well.

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

    sorry, logs are so far back in my math knowledge. im trying to remember the rules

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

    \[2^x+3=5^x\] or \[2^{x+3}=5^x\]

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

    Here is my work... maybe someone can check it to see where I went wrong. 2^(x+3)=5^x Then I divided each side by x ln 2 and it left me with: x+3/x=ln5/ln2

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

    The second one...

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

    ohhh i remember how to do it. i thought it was 2^x + 3 instead of 2^(x+3)

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

    I dont know how to write equations on here.... so sorry

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

    its cool. alright, so log both sides to start. that will get you ln(2^(x+3)) = ln(5^x)

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

    then with the logarithm rules, you can bring the exponent of both sides in front. this gives you: (x+3)ln(2) = xln(5)

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

    then you switch things around to get (x+3)/x = ln(5)/ln(2)

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

    Ok, I got that. So far, so good

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

    then you can split the fraction on the left up to make two different ones. It becomes (x/x) + (3/x)

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

    or, in other words, (3/x) + 1

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

    OK... right here is where my teacher told us to croos multiply?

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

    cross sorry. So it gave me x+3/x=2.322/1

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

    does your teacher want you to get an exact answer? or are decimals okay

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

    Decimals to the thousandth

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

    okay, well i would highly recommend solving for x in exact form first, and then getting the decimal. it's much more pure math. if you have (x/3) + 1 = ln(5)/ln(2) it's very easy to get it to exact form

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

    sorry, (3/x)

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

    just move the 1 over to the right side

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

    What one? where are you getting the one from?

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

    then it will be 3/((ln(5)/ln(2))+1)

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

    from the left side. where it says (3/x) + 1 = ln(5)/ln(2)

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

    it becomes 3/x = ln(5)/ln(2) -1

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

    which becomes 3/((ln(5)/ln(2))-1)

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

    ^^ that is equal to x

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

    is the answer 1.689?

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

    i believe its 2.269. make sure you plug it in correctly on your calculator.

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

    Thats what I had for my answer to begin with?

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

    So I am right?

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

    haha, yes

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

    Thanks for your help.

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

    no problem

  38. 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.