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This tutorial discusses logarithms and the concept of cancelling out terms in a log expression to get a variable on its own. It explains that a logarithm is asking us to find the power to which the base must be raised to get the term inside the brackets. In the case of log base 4 of 4 to the 8, the answer is 8, as the base and the number are the same, leaving only the exponent. This can be rewritten as 8 log 4 of 4, which simplifies to 1.