Step 1 :The power rule of logarithms states that \(\log_b a^n = n \log_b a\). In this case, we can apply the power rule to simplify \(\ln 7^{3}\) to \(3 \ln 7\).
Step 2 :ln_7 = 1.9459101490553132
Step 3 :result = 5.8377304471659395
Step 4 :Final Answer: \(\boxed{5.8377304471659395}\)