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In this lesson, we focused on solving basic logarithmic equations. We started with log base 2 of 16 equals x, which we converted to 2^x = 16. The answer is x = 4, as 2^4 equals 16. We can also use the formula log(16)/log(2) = 4 to find x. Next, we looked at log base x of 81 equals 4, which we converted to x^4 = 81. Finding the fourth root of 81 gives us x = 3. Finally, for log base 5 of x equals 3, we converted it to 5^3 = x, which simplifies to x = 125.
