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This lesson focuses on solving basic logarithmic equations. Starting with log base 2 of 16 equal to x, we convert it to exponential form as 2^x = 16. By knowing 2^4 = 16, x is found to be 4. Alternatively, you can use the change of base formula log(16)/log(2) = 4. Moving to log base x of 81 equals 4, we convert to x^4 = 81 and find x = 3. Lastly, log base 5 of x equals 3 is converted to 5^3 = x, leading to x = 125.