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This lesson focuses on solving basic logarithmic equations. The first example is log base 2 of 16 equals x, which is converted to exponential form as 2^x = 16. Solving this equation gives x = 4. Alternatively, you can use the log formula log(16) / log(2) = 4. The second example is log base x of 81 equals 4, converted to exponential form as x^4 = 81. Solving gives x = 3. The final example is log base 5 of x equals 3, converted to exponential form as 5^3 = x, resulting in x = 125.