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This lesson focuses on solving basic logarithmic equations. To find the value of x in log base 2 of 16, it is converted to exponential form as 2^x = 16, solving to x = 4. Another method is using log of 16 divided by log of 2, which also equals 4. In log base x of 81 equals 4, it is converted to x^4 = 81 and solved to get x = 3. For log base 5 of x equals 3, it is converted to 5^3 = x, resulting in x = 125.