Solution

Simplify the following. $$\ln \left( \frac{e^5}{e^3} \right)$$




$$\begin{array}{rcll} \ln \left( \frac{e^5}{e^3} \right) &=& \ln e^2 & \scriptsize{\textrm{recalling that } \displaystyle{\frac{x^m}{x^n} = x^{m-n}}}\\\\ &=& 2 & \scriptsize{\textrm{remembering that the natural log has base } e} \end{array}$$