2 + 2 + 2 = 2 × 3
Exponent is the repeated multiplication.
2 × 2 × 2 = 2 ∧ 3
The base of the exponent can be any real number
but the exponent could be only the natural number except 1 by the definition.
Subtraction is the inverse operation of addition.
2 + 3 = 5 , 5 - 3 = 2
Division is the inverse operation of multiplication.
2 × 3 = 6 , 6 / 3 = 2
Root is the inverse operation of exponent.
2 ∧ 3 = 8 , 8 ∨ 3 = 2
2 ∧ 3 = 2 × 2 × 2 and 2 ∧ 2 = 2 × 2 , so define 2 ∧ 1 = 2.
logarithm is another inverse operation of exponent.
2 ∧ 3 = 8 , 8 ∀ 2 = 3
