Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

soccergal12

  • 3 years ago

solve: ( 1/(e^x) ) = 5

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

    This is tricky one you will have to use natural log.

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

    \[\frac{1}{e^x}=5\]\[1=5*e^x\]\[\frac{1}{5}=e^x\]

  3. zzr0ck3r
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1/e^(x) = 5 e^(x) = 1/5 ln(e^(x)) = ln(1/5) x = ln(1/5) = ln(1) - ln(5) = 0 - ln(5) = -ln(5)

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

    from there you simply natural log both sides.

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

    \[e^{-x}=5\] does this look better? or maybe \[e^{x}= \frac{1}{5}\]

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

    The natural log will cancel the e and bring down the x

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

    You understand?

  8. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so the answer would be ln(1/5) ?

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

    haha so many answers

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

    Yes that is the answer. You can simplify it however you want. I would just leave it as that.

  11. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay thank you. that makes sense!

  12. zzr0ck3r
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    notice that 1/5 = 5^(-1) and a property of logs is a*log(b) = log(b^a) so log(1/5) = log(5^(-1)) = -1*log(5) this is the great thing about logs, you can really "play around" with them. notice how i got to the same thing two compelety different ways.

  13. 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