## Calculus 8th Edition

(a) ln$e^{sinx}=sinx$ (b) $e^{x+lnx}=xe^{x}$
The exponential function is defined by if $e^{x}=y$ then $x =lny$. (a) ln$e^{sinx}=sinx$ (b) $e^{x+lnx}=e^{x}\times e^{lnx}$ $=e^{x}x$ Hence, $e^{x+lnx}=xe^{x}$