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In this lesson, the focus is on solving basic logarithmic equations. The first example provided is log base 2 of 16 is equal to x, which is converted to exponential form as 2^x = 16, resulting in x = 4. Another method shown is log of 16 divided by log of 2, also resulting in x = 4. The second example is log base x of 81 is equal to four, which is converted to x^4 = 81, giving x = 3. Lastly, log base 5 of x is equal to three is converted to 5^3 = x, resulting in x = 125. These examples demonstrate how to solve basic logarithmic equations using different methods.
