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In this lesson, we focus on solving basic logarithmic equations. For example, log base 2 of 16 is equal to x, which can be converted to exponential form as 2 raised to the x equals 16. By solving it, we find that x equals four. Another equation, log base x of 81 equals four, can be converted to x to the fourth equals 81, and by finding the fourth root of 81, we get x equals 3. Lastly, log base five of x equals three can be converted to five to the third equals x, resulting in x equals 125.