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In this lesson, we focus on solving basic logarithmic equations. For example, if log base 2 of 16 equals x, we can convert it to exponential form: 2^x = 16. Solving this equation gives x = 4. Another method is using the change of base formula. Similarly, for log base x of 81 equals 4, converting it to exponential form gives x^4 = 81, leading to x = 3. Lastly, if log base 5 of x equals 3, converting it to exponential form gives 5^3 = x, resulting in x = 125.