Evaluate the definite integral ${\int }_1^e\frac{dx}{x\sqrt{{\ln }^{2}x+9}}$. Express your answer in terms of logarithms. 

$\ln \left(\frac{3}{1+\sqrt{10}}\right)$

$\ln \left(\frac{1+\sqrt{10}}{3}\right)$

$\ln \left(\frac{\sqrt{10}-1}{3}\right)$

$\ln \left(\frac{1+\sqrt{10}}{2}\right)$