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In this tutorial, the concept of logarithms is explained, focusing on the idea of canceling out to isolate a variable. The example of log base 4 of 4 to the power of 8 is used to illustrate this concept. The answer is simply 8, as the base and number are the same, leaving only the exponent. This is then rewritten using the power rule as 8 log 4 of 4 to show that 4 needs to be raised to 1 to get the result.