June 21, 2020
Properties of Algebra
Commutative Property of Algebra
- involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g. a × b = b × a.
- relating to or involving substitution or exchange.
Associativity Property of Algebra
Grouping of more than two numbers to perform basic aritmetic operations of addition/multiplication does not affect the final result.
Distributive Property of Algebra
The distributive property defines that the product of a single term and a sum or difference of two or more terms inside the bracket is same as multiplying each addend by the single term and then adding or subtracting the products.
Additive Identity Property
Multiplicative Identity Property
Additive Inverse Property
Multiplicative Inverse Property
The log of a product is equal to the sum of the log of the first base and the log of the second base:
The log of a quotient is equal to the difference of the logs of the numerator and denominator:
The log of a power is equal to the power times the log of the base:
Change of Base Formula
The log of a new base is the log of the new base divided by the log of the old base in the new base:
Base Switch Rule
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