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In this lesson, we are focusing on solving basic logarithmic equations. The first equation is log base 2 of 16 equals x, which can be converted to exponential form as 2 to the x equals 16. By finding that 2 to the 4th power is 16, x is equal to four. Another method is dividing log 16 by log 2, resulting in x equals four. The second equation is log base x of 81 equals four, converted to exponential form as x to the fourth equals 81. Taking the fourth root of both sides gives x equals three. Lastly, log base five of x equals three can be converted to x equals five to the third, which is equal to 125.
