Subjects algebra

Logarithm Product Rule

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1. The logarithm property used is the **Product Rule** of logarithms. 2. This property states that the logarithm of a product is equal to the sum of the logarithms of the factors. 3. Mathematically, it is expressed as: $$\log_b(xy) = \log_b(x) + \log_b(y)$$ 4. This means if you have a logarithm of a multiplication inside, you can split it into the sum of two logarithms. 5. This property is very useful for simplifying logarithmic expressions and solving logarithmic equations.