The logarithm of any number to a given base is equal to the index to which the base should be raised to get the given number.
The logarithm of a product is equal to the sum of the logarithms of its factors.
The logarithm of a fraction is equal to the difference between the logarithm of the numerator and the logarithm of the denominator.
The logarithm of a power of a number is equal to the logarithm of the number multiplied by the power.
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