At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

Join Brainly to access

this expert answer

SEE EXPERT ANSWER

To see the **expert** answer you'll need to create a **free** account at **Brainly**

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

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

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)

from there you simply natural log both sides.

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

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

You understand?

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

haha so many answers

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

okay thank you. that makes sense!