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In this lesson, we focus on solving basic logarithmic equations. We start with log base 2 of 16 is equal to x, which can be converted to exponential form as 2^x = 16. Solving it, we find that x is equal to four. Another way to solve this is to use the change of base formula. Moving on to log base x of 81 is equal to four, we convert it to exponential form as x^4 = 81, which gives us x = 3. Lastly, log base five of x is equal to three can be converted to five^3 = x, resulting in x = 125.