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Romero
 2 years ago
Best ResponseYou've already chosen the best response.2This is tricky one you will have to use natural log.

Romero
 2 years ago
Best ResponseYou've already chosen the best response.2\[\frac{1}{e^x}=5\]\[1=5*e^x\]\[\frac{1}{5}=e^x\]

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.11/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)

Romero
 2 years ago
Best ResponseYou've already chosen the best response.2from there you simply natural log both sides.

Spacelimbus
 2 years ago
Best ResponseYou've already chosen the best response.0\[e^{x}=5\] does this look better? or maybe \[e^{x}= \frac{1}{5}\]

Romero
 2 years ago
Best ResponseYou've already chosen the best response.2The natural log will cancel the e and bring down the x

soccergal12
 2 years ago
Best ResponseYou've already chosen the best response.0so the answer would be ln(1/5) ?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0haha so many answers

Romero
 2 years ago
Best ResponseYou've already chosen the best response.2Yes that is the answer. You can simplify it however you want. I would just leave it as that.

soccergal12
 2 years ago
Best ResponseYou've already chosen the best response.0okay thank you. that makes sense!

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.1notice 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.
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