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This lesson focuses on solving basic logarithmic equations. The first equation is log base 2 of 16 equals x, which is converted to exponential form as 2 to the x equals 16. By solving, we find x is 4. Another method is log of 16 divided by log of 2 equals 4. For the second equation, log base x of 81 equals 4 is converted to x to the fourth equals 81, finding x as 3. Similarly, log base 5 of x equals 3 is converted to 5 to the third equals x, resulting in x as 125.