How do you simplify 5e^(1/2lnx)?

It is $5 \sqrt{x}$
$5 \cdot {e}^{\frac{1}{2} \ln x} = 5 \cdot {e}^{\ln \sqrt{x}} = 5 \cdot \left(\sqrt{x}\right)$
Using the identity ${e}^{a \ln b} = {e}^{\ln \left({b}^{a}\right)} = {b}^{a}$