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This lesson focuses on solving basic logarithmic equations. For example, log base 2 of 16 is equal to x, which can be converted to 2^x = 16, leading to x = 4. Another example is log base x of 81 = 4, which can be converted to x^4 = 81, giving x = 3. Lastly, log base 5 of x = 3 can be converted to 5^3 = x, resulting in x = 125. These conversions help find the values of x in each equation.