Algebra question
Medium · from the problemset algebra collection
07
$$\quad \text{The value of}
\
6 + \log_{\frac{3}{2}} \left( \frac{1}{3\sqrt{2}} \sqrt{4 - \frac{1}{3\sqrt{2}} \sqrt{4 - \frac{1}{3\sqrt{2}} \sqrt{4 - \dots}}} \right)
\text{is:}$$
