How do you use the properties of logarithms to find the exact value of log_2 6*log_6 4?

${\log}_{2} 6 \cdot {\log}_{6} 4 = \log \frac{6}{\log} 2 \cdot \log \frac{4}{\log} 6 = \log \frac{4}{\log} 2 = \log {2}^{2} / \log 2 = 2 \log \frac{2}{\log 2} = 2$
${\log}_{a} b = \log \frac{b}{\log} a$