Which property of logarithms does this equation demonstrate? log_3 3 + log_3 6 = log_3 18 Choices: [[Product Property][Power Property][Quotient Property]]

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Which property of logarithms does this equation demonstrate?   log_3 3 + log_3 6 = log_3 18     Choices: [[Product Property][Power Property][Quotient Property]]

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Analyze the equation: Analyze the given equation. We have the equation log_3 3 + log_3 6 = log_3 18. We need to determine which logarithmic property this equation represents.Recall logarithmic properties: Recall the properties of logarithms. There are three main properties of logarithms that are relevant to this problem: the Product Property, the Power Property, and the Quotient Property. The Product Property states that log_b (P) + log_b (Q) = log_b (PQ), the Power Property states that n * log_b (P) = log_b (P^n), and the Quotient Property states that log_b (P) - log_b (Q) = log_b (P/Q).Match equation with property: Match the given equation with the correct property. The given equation is log_3 3 + log_3 6 = log_3 18. This matches the form of the Product Property, which states that the sum of the logarithms is equal to the logarithm of the product of the bases: log_b (P) + log_b (Q) = log_b (PQ).Verify equation using property: Verify the equation using the Product Property. Using the Product Property, we can combine the logarithms on the left side of the equation: log_3 (3 * 6) = log_3 18. Since 3 * 6 equals 18, the equation is correct and demonstrates the Product Property.

Which property of logarithms does this equation demonstrate? $\newline$ $\log_3 3 + \log_3 6 = \log_3 18$ $\newline$ Choices: $\newline$ (A) $\text{Product Property}$ $\newline$ (B) $\text{Power Property}$ $\newline$ (C) $\text{Quotient Property}$

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