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

geerky42

\(\large b^x = b^y \Rightarrow x = y \) iff \(\large b > 0, b \neq 1\) Why b>0? Why not b ≠ 0?

  • one year ago
  • one year ago

  • This Question is Closed
  1. freckles
    Best Response
    You've already chosen the best response.
    Medals 2

    (-1)^3=(-1)^5 => 3=5. True or false?

    • one year ago
  2. geerky42
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok, how about b≠-1, 0, 1? I just don't understand why b couldn't be smaller than zero...

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

    -1 is smaller than 0

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

    The statement did not work for b<0

    • one year ago
  5. geerky42
    Best Response
    You've already chosen the best response.
    Medals 0

    except -1... Why couldn't it be smaller than zero?

    • one year ago
  6. geerky42
    Best Response
    You've already chosen the best response.
    Medals 0

    except -1...

    • one year ago
  7. geerky42
    Best Response
    You've already chosen the best response.
    Medals 0

    Why not \(b \in \mathbb{R}, b \neq -1, 0, 1\)?

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

    Is the the thingy suppose to go both ways?

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

    Or do you mean it just in that one way?

    • one year ago
  10. geerky42
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, both way, I guess.

    • one year ago
  11. geerky42
    Best Response
    You've already chosen the best response.
    Medals 0

    I found this statement in a iPhone app called Math Formulas, I think this is wrong, but I'm not sure...

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

    Well it is probably leading up to logarithms... Of course 1^n=1^m but this does not imply n=m.

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

    Oh you understand why b cannot be -1,0, or 1.

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

    Have you talked about logarithms?

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

    \[\log_b(x)=\frac{\ln(x)}{\ln(b)} , x>0, b>0, b \neq 1\]

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

    \[b^x=b^y\] \[\log_b(b^x)=\log_b(b^y)\] \[x \log_b(b)=y \log_b(b)\] \[x(1)=y(1)\] \[x=y\]

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

    That is assuming b>0 and b does not equal 1.

    • one year ago
  18. geerky42
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, this makes sense. Thanks.

    • one year 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.