Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.6 Logarithmic And Other Functions Defined By Integrals - Exercises Set 6.6 - Page 459: 10

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

$$\eqalign{ & \left( {\text{a}} \right){\pi ^{ - x}} \cr & {\text{Express as a power of }}e,{\text{ recall that }}{x^y} = {e^{y\ln x}},{\text{ then}} \cr & {\pi ^{ - x}} = {e^{ - x\ln \pi }} \cr & \cr & \left( {\text{b}} \right){x^{2x}},{\text{ }}x > 0 \cr & {\text{Express as a power of }}e,{\text{ recall that }}{x^y} = {e^{y\ln x}},{\text{ then}} \cr & {x^{2x}} = {e^{2x\ln x}},{\text{ }}x > 0 \cr} $$