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The lesson focuses on solving basic logarithmic equations. The first equation given is log base 2 of 16 equals x, which is converted to exponential form as 2 to the x equals 16 and solved to find x is equal to four. Another equation log base x of 81 equals four is converted to x to the fourth equals 81 and solved to find x is equal to three. Finally, the equation log base five of x equals three is converted to five to the third equals x, giving x as 125.