This video explains four basic log laws with examples: Product Rule (0:05-0:27): log_b(mn) = log_b(m) + log_b(n). An example is shown with log_2(32) being broken down into log_2(8) + log_2(4). Quotient Rule (0:28-0:44): This rule applies to division. An example provided is log_10(1000/10), which can be written as log_10(1000) - log_10(10). Power Rule (0:45-1:08): log_b(m^k) = k log_b(m). The video shows log_2(4^2) converting to 2 log_2(4). Change of Base Rule (1:09-1:36): log_b(x) = log_k(x) / log_k(b). An example demonstrates changing log_7(343) to log_10(343) / log_10(7).