A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

how do you make the bases of a logarithm the same?

  • This Question is Closed
  1. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you give more detail?

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

    ^ i was thinking the same ^

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

    I'm guessing you have a situation where you've got logs with mixed bases in some equation. In this situation, you can use the change of base formula. \[\text{Let } a = b^k,\text{ and }q \in R\]\[\implies log_q(a) = k\cdot log_q(b)\] \[\implies k = \frac{log_q(a)}{log_q(b)}\] From the definition of the logarithm we also have that \[a = b^k \iff log_b(a) = k\] \[\therefore log_b(a) = \frac{log_q(a)}{log_q(b)} \forall a,b,q \in R\]

  4. 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.