Question

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

Answer 1

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`