Answer
$L = 2.41~\mu H$
Work Step by Step
We can find the inductance:
$\omega = \frac{1}{\sqrt{LC}}$
$\sqrt{LC} = \frac{1}{\omega}$
$\sqrt{LC} = \frac{1}{2\pi~f}$
$LC = \frac{1}{4\pi^2~f^2}$
$L = \frac{1}{4\pi^2~f^2~C}$
$L = \frac{1}{(4\pi^2)~(8.15\times 10^3~Hz)^2~(158\times 10^{-6}~F)}$
$L = 2.41~\mu H$
