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In this lesson, we focus on solving basic logarithmic equations. We start with log base 2 of 16 equals x, which we convert to exponential form as 2 to the x equals 16. By solving, we find x is 4. Another method is using the change of base formula, log of 16 divided by log of 2 also equals 4. Moving on, log base x of 81 as equal to 4 is converted to x to the 4th equals 81, resulting in x equaling 3. Lastly, log base 5 of x equals 3 converts to 5 to the 3rd equals x, giving x as 125.