CPM Homework Help : CALC Problem 6-28

Since $y=e^x$ and $y =\operatorname{ln}(x)$ are inverse functions, $e^{\operatorname{ln}(x)}=x$ and $\operatorname{ln}(e^x)=x$ . Use these facts along with exponent and log laws to rewrite each expression.

$e^{2\operatorname{ln}(x)}$
Hint (a):
^{$e^{2\operatorname{ln}x}=e^{\operatorname{ln}x2}$}

$e ^ { \operatorname { ln } \sqrt { x } }$

$\operatorname { ln } \sqrt { e ^ { 5 x } }$

$\operatorname{ln}(5e^x)$
Hint (d):
$\operatorname{ln}(5e^x)=\operatorname{ln}(e^{\operatorname{ln}5}e^x)$