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This lesson focuses on solving basic logarithmic equations. The first example given is log base 2 of 16 equals x, which is converted to exponential form as 2 raised to the x is equal to 16. By solving, x is found to be four. The same equation can also be solved using the formula log of 16 divided by log of two equals four. Another example is log base x of 81 equals four, which is converted to x to the fourth is equal to 81, and then x is found to be three. The last example provided is log base five of x equals three, which is converted to five to the third is equal to x, giving x as twenty-five.