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

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

zzr0ck3rBest ResponseYou've already chosen the best response.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)
 one year ago

RomeroBest ResponseYou've already chosen the best response.2
from there you simply natural log both sides.
 one year ago

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

RomeroBest ResponseYou've already chosen the best response.2
The natural log will cancel the e and bring down the x
 one year ago

soccergal12Best ResponseYou've already chosen the best response.0
so the answer would be ln(1/5) ?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
haha so many answers
 one year ago

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

soccergal12Best ResponseYou've already chosen the best response.0
okay thank you. that makes sense!
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.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.
 one year ago
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