Solution
$$\frac{1}{\log_ab}\times\ \frac{1}{\log_cb}\times\ \frac{1}{\log_ac}=\frac{1}{\log_ab}\times\ \frac{\log_ca}{\log_cb}=\frac{\log_ab}{\log_ab}=1$$
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$$\frac{1}{\log_ab}\times\ \frac{1}{\log_cb}\times\ \frac{1}{\log_ac}=\frac{1}{\log_ab}\times\ \frac{\log_ca}{\log_cb}=\frac{\log_ab}{\log_ab}=1$$
