Question

How do you simplify `ln(5e^6)`?

Answer 1

`ln(5e^6) = ln(5)+6`

Explanation:

Note that if `a, b > 0` then

`ln(ab) = ln(a)+ln(b)`

Also note that for any real value of `x`:

`ln(e^x) = x`

So:

`ln(5e^6) = ln(5) + ln(e^6) = ln(5)+6`