Question

How do you write `e^3 = 20.08` in log form?

Answer 1

You may take the `log_e` or `ln` on both sides.

Explanation:

`lne^3=ln20.08`

Since any power may be placed before the log-function as a multiplication, we get:
`3lne=ln20.08`

And since `lne=1`:
`3=ln20.08`

Which checks out on my calculator (with a bit of rounding, actually `e^3=20.0855...` so `20.09` would have been a better number.