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In this lesson, we are focusing on solving basic logarithmic equations. Starting with log base 2 of 16 equals x, we convert it to exponential form to get 2^x = 16, solving for x as 4. Another method is using log of 16 divided by log of 2. Moving on to log base x of 81 equals 4, we convert it to x^4 = 81 and find x as 3. Lastly, for log base 5 of x equals 3, we get x = 5^3, which is 125.