If `(log)_4A=(log)_6B=(log)_9(A+B),t h e n` `[4(B/A)]` (where [ ] represents the greatest integer function) equals ..............

Explanation

To solve the problem, we start with the given equations:

1. \( \log_4 A = \log_6 B = \log_9 (A + B) = x \)

From this, we can express \( A \), \( B \), and \( A + B \) in terms of \( x \):

2. \( A = 4^x \)
3. \( B = 6^x \)
...