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LearnGrow
The properties that were used to derive the properties of logarithms are:
1. a^x · a^y = a^(x+y)   2. a^x / a^y = a^(x - y)   3. a^0 = 1   4. a^(-x) = 1 / x   5. (a^x)^y = a^(xy)

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