Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

IsTim Group Title

Solve 3^x=15 by taking the natural logarithm of both sides.

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. LordHades Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    x log3 = log15 x = log15/log3

    • 2 years ago
  2. roadjester Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    The natural logarithm is ln not log

    • 2 years ago
  3. roadjester Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[3^x = 15\] \[\ln 3^{3^x} =\ln 3^{15}\] \[x=15\ln3\]

    • 2 years ago
  4. roadjester Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Is that the answer you have?

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

    I just didn't know what to to do. Thanks though, Roadjester.

    • 2 years ago
  6. roadjester Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know the Laws of Logs?

    • 2 years ago
  7. roadjester Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    They are the same for natural log, just that you use natural log for the change of base formula.

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

    What's the difference between natural and common logarithms? I think people may have applied the incorrect technique into my other question.

    • 2 years ago
  9. roadjester Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Well, this is the general form for log: \[\log_{a}x \] where x is a variable and a is the base. This is basically the inverse of an exponential function of the form:\[x = a^y\]. You'll notice that rather than writing the usual "y is a function of x" I have it reversed. If you're familiar with inverse functions, this shouldn't be too troublesome.

    • 2 years ago
  10. roadjester Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Now as for what the difference between \[\ln x\] and \[\log_{} x\] is, you'll notice that when I wrote log x, I had a base a. log can take on any base. The natural log is assumed to have the base of e which is approximately 2.7182818...

    • 2 years ago
    • Attachments:

See more questions >>>

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.