Know your log properties

How many of the following log properties are false ?

$\begin{array} {rl} 1. & \log_a (b) = \cfrac{1}{\log_b (a)} \\ 2. & \log_a (b) + \log_a (c) = \log_a (bc) \\ 3. & \log_a (b)\times\log_b (c) = \log_a (c) \\ 4. & \sqrt{\log_a (b)} = \log_{\sqrt{a}} (b) \\ 5. & \log_a (b) = \cfrac{\log_c (b)}{\log_c (a)} \\ 6. & \log_a (a) = 1 \\ 7. & \log_a \bigg(\cfrac{b}{c}\bigg) = \log_a (b)-\log_a (c) \\ 8. & \cfrac{\log_a (b)}{\log_c (b)} = \log_{a-c} (b) \\ 9. & \log_a (1) = 0 \\ 10. & \log_a (b)\times\log_c (b) = \log_{a+c} (b) \\ 11. & c\log_a (b) = \log_a (b^c) \end{array}$