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soccergal12

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

  • one year ago
  • one year ago

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

    • one year ago
  2. Romero
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    \[\frac{1}{e^x}=5\]\[1=5*e^x\]\[\frac{1}{5}=e^x\]

    • one year ago
  3. zzr0ck3r
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    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)

    • one year ago
  4. Romero
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    from there you simply natural log both sides.

    • one year ago
  5. Spacelimbus
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    \[e^{-x}=5\] does this look better? or maybe \[e^{x}= \frac{1}{5}\]

    • one year ago
  6. Romero
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    The natural log will cancel the e and bring down the x

    • one year ago
  7. Romero
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    You understand?

    • one year ago
  8. soccergal12
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    so the answer would be ln(1/5) ?

    • one year ago
  9. lgbasallote
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    haha so many answers

    • one year ago
  10. Romero
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    Yes that is the answer. You can simplify it however you want. I would just leave it as that.

    • one year ago
  11. soccergal12
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    okay thank you. that makes sense!

    • one year ago
  12. zzr0ck3r
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    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.

    • one year ago
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