Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

rosedewittbukater

  • one year ago

Algebra 2 help please? And explanation too. Thanks! 5. Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 2 log 4 – log 3 + 2 log x – 4 = 0 (1 point) 12.3308 43.3013 86.6025 1,875

  • This Question is Closed
  1. matricked
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    use log a+log b=log ab and log a- log b= log (a/b)

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

    ok, can I just check the equation is it 1. \[2 \log(4) - \log(3) + 2\log(x) - 4 = 0\] or 2. \[2 \log(4) - \log(3) + 2\log(x - 4) = 0\]

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

    thus here we have 2 log 4 – log 3 + 2 log x – 4 =0 or log (4^2*x^2 )/3 = 4 [nlog a =log a^n] and log 1=10 as the base must be 10 here ]

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

    @campbell_st Honestly I'm not really sure. It's a question for my online school and it doesn't specify what it is, but I'm assuming it's (x-4). I guess we can know which it is if there's no answer choice.

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

    2 log 4 – log 3 + 2 log x – 4 =0 log (4^2*x^2 )/3 = 4 log (4^2*x^2 )/3 =4 log 10 [as log10=1] log (4^2*x^2 )/3 = log 10000 or 16x^2/3 =10000 or x^2 =10000/16 *3 or x^2 =1875 hence x=sqrt(1875) =43.3013

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

    @campbell_st u were right in interpreting the question but it is as it was

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

    makes sense to me

  8. 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.