In general, the multiplication of identical numbers , denoted , such as , when, 3 is called the logarithm with base 8 of 2, denoted (i.e., ). In general, if then is called the logarithm of with as base, denoted (i.e., ). If , 4 is called the logarithm of base 81 with 3, denoted . (1) Calculate the value of each of the following logarithms: = _______; = _______; = _______. (2) Observe what relationship is satisfied between the three numbers 4, 16, and 64 in (1)? What relationship is satisfied between ? (3) Based on (2), can you write a general conclusion? ______________()
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