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This lesson focuses on solving basic logarithmic equations. The first example is log base 2 of 16 equals x, which can be converted to 2^x = 16. Solving it reveals x is 4. Another method is log(16)/log(2) = 4. For the second example, log base x of 81 equals 4 can be converted to x^4 = 81, giving x = 3. For the third example, log base 5 of x equals 3, which can be converted to 5^3 = x, making x = 125.