Question

How do you simplify `ln ( 8 / e^7 )`?

Answer 1

`3 ln 2 - 7 = -4.92`, nearly.

Explanation:

Use `ln (m/n) = ln m - ln n, ln a^n=n ln a and ln e = 1`

`ln (8/e^7)=ln8-ln(e^7)`

`= ln 2^3-ln e^7`

`=3 ln 2-7 ln e = 3 ln 2-7(1)`