How do you solve 5*e^(2n)=56.7?

1 Answer
Jun 26, 2017

I got: n=1/2ln(11.34)=1.214168

Explanation:

We can rearrange it:
e^(2n)=56.7/5
e^(2n)=11.34
apply the natural log to both sides:
ln[e^(2n)]=ln(11.34)
use a property of logs:
2nln(e)=ln(11.34)
and then:
2n=ln(11.34)
n=1/2ln(11.34)=1.214168