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In this lesson, we focus on solving basic logarithmic equations. Starting with log base 2 of 16 equals x, convert it to exponential form as 2 to the x equals 16. Solving it, x equals four. Another method is log of 16 divided by log of two, also equals four. Moving on to log base x of 81 equals four, convert to x to the fourth equals 81, finding x as three. For log base five of x equals three, it translates to five to the third equals x, which is 125.