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In this lesson, we focus on solving basic logarithmic equations. For example, log base 2 of 16 equals x can be converted to exponential form as 2 raised to the x equals 16, solving to x equals four. Another example is log base x of 81 equals four, which can be converted to x to the fourth equals 81, leading to x equals 3. Finally, log base five of x equals three can be converted to five to the third equals x, giving x equals 125.