What is the value of \(\rm 6 + \log_{\frac14}\left( \frac{1}{\sqrt{2}}\sqrt{1-\frac{1}{\sqrt{2}}\sqrt{1-\frac{1}{\sqrt{2}}\sqrt{1-\frac{1}{\sqrt{2}}...\infty}}}\right)\)?

• A. 6
• B. \(\frac{13}2\)
• C. 4
• D. \(\frac{25}4\)