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The two inverse operations of potentiation


The inverse operations of potentiation are: root and logarithmization.

This is because in the potentiation operation there is no commutativity property. For example:

53 = 5x5x5 = 125
It is other than

35 = 3 x 3 x 3 x 3 x 3 = 243
By definition, the inverse operation to potentiation consists of: given the power and one of the data, the base or exponent must determine the other.

So:
Given the power and the exponent, if we want the base we must use the RADICIATION.
Given the power and the base, if we want the exponent we must use the LOGARITMATION.