Log-concavity of two sequences related to Cauchy numbers of two kinds

For Cauchy numbers of the first kind \(\{a_n\}_{n \geq 0}\) and Cauchy numbers of the second kind \(\{b_n\}_{n \geq 0}\), we prove that two sequences \(\left\{ \sqrt[n]{|a_n|} \right\}_{n \geq 2}\) and \(\left\{ \sqrt[n]{b_n} \right\}_{n \geq 1}\) are log-concave. In addition, we show that two sequences \(\left\{ \frac{1}{\sqrt[n]{|a_n|}} \right\}_{n \geq 2}\) and \(\left\{ \frac{1}{\sqrt[n]{b_n}} \right\}_{n \geq 1}\) are log-balanced.