Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

NatalieLove

  • 2 years ago

Write log4 14 as a logarithm of base 3.

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

    tell your teacher this isnt helpful in the real world

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

    i don't have a teacher.

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

    logarithms can be helpful, depending on what you're actually doing in the real world. :)

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

    \[\frac{\log_{3}14}{\log_{3}4}\]change of base

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

    i think if you're writing it just as a logarithm of base 3, you need one logarithm... which would also explain the excess work i was so confused by in class today (I had to do the same thing). :P

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

    Dockworker has it right, but such an answer isn't very practical, since the calculator, computer, and tabulated data are all for the common or natural logs.

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

    \[ \large{ \begin{split} log_4 14 &= log_3 x\\ \frac{log 14}{log 4} &= \frac{log x}{log 3}\\ 1.9037 &= \frac{log x}{log 3}\\ 1.9037~ log 3 &= log x\\ 0.9083 &= log x\\ 10^{0.9083} &= 10^{log x}\\ 10^{0.9083} &= x\\ 8.0965 &= x\\\\\\\\log_3 8.0965 = log_4 14 \end{split} }\] this is the process I am always asked to do to 'rewrite a logarithm with a logarithm of a different base

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

    Yes, it only says to rewrite using A logarithm, not a quotient of logarithms or just 'using the base 3' in which case the change of base would be sufficient...

  9. 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.