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This lesson focuses on solving basic logarithmic equations. The first example given is log base 2 of 16 equals x, which is converted to 2 to the x equals 16. The value of x is found to be 4. Alternatively, the equation can be solved using the log base formula. The second example is log base x of 81 equals 4, which is converted to x to the fourth equals 81. The value of x is found to be 3. The final example is log base 5 of x equals 3, which is converted to 5 to the third equals x. The value of x is found to be 125.