Question

What is the natural logarithm of `e^4.5`?

Answer 1

The answer is `4.5`.
When you have an exponent in the argument of the logarithm, it can be "kicked to the front" as a multiplier.
`ln(e)^4.5=4.5ln(e)`
Since `ln(e) = 1, 4.5ln(e) = 4.5`.