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In this lesson, we focus on solving basic logarithmic equations. Starting with an example, log base 2 of 16 equals x, we convert it to exponential form as 2 raised to the x equals 16. Solving, we find x equals four. Another method is using log and division, where log of 16 divided by log of two equals four, which is x. Moving on to another equation, log base x of 81 equals four, we convert it to x to the fourth equals 81 and find x equals three. Lastly, for log base five of x equals three, we convert it to five to the third equals x, resulting in x equals 125.