Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.6 Logarithmic And Other Functions Defined By Integrals - Exercises Set 6.6 - Page 459: 9

$$\eqalign{ & \left( {\text{a}} \right){e^{\pi \ln 3}} \cr & \left( {\text{b}} \right){e^{\sqrt 2 \ln 2}} \cr} $$

$$\eqalign{ & \left( {\text{a}} \right){3^\pi } \cr & {\text{Express as a power of }}e,{\text{ recall that }}{x^y} = {e^{y\ln x}},{\text{ then}} \cr & {3^\pi } = {e^{\pi \ln 3}} \cr & \cr & \left( {\text{b}} \right){2^{\sqrt 2 }} \cr & {\text{Express as a power of }}e,{\text{ recall that }}{x^y} = {e^{y\ln x}},{\text{ then}} \cr & {2^{\sqrt 2 }} = {e^{\sqrt 2 \ln 2}} \cr} $$