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In this lesson, we focus on solving basic logarithmic equations. For example, finding the value of x in log base 2 of 16 is equal to x involves converting it to exponential form, where 2 to the x equals 16, giving x as four. Another method is using log of 16 divided by log of two to directly find x. Similarly, for log base x of 81 equals four, converting to x to the fourth equals 81 allows us to find x as three. Lastly, for log base five of x equals three, the exponential form is five to the third equals x, so x is equal to 125.