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In this lesson, we focus on solving basic logarithmic equations. We start with the equation log base 2 of 16 equals x, which we convert to exponential form as 2 raised to the x is equal to 16. By solving, we find x equals four. You can also use the log of 16 divided by log of two to get the same result. Another example is log base x of 81 equals four, which is converted to x to the fourth equals 81. Taking the fourth root of both sides gives x equals three. Lastly, log base five of x equals three is converted to five to the third equals x, giving x equals 125.