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Which property of logarithms does this equation demonstrate? log7+log2=log14

User Cullen SUN
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Final answer:

The equation log(7) + log(2) = log(14) showcases the logarithmic product rule that states the sum of the logarithms is the logarithm of the product.

Step-by-step explanation:

The equation log(7) + log(2) = log(14) demonstrates the property of logarithms called the product rule. This rule states that the logarithm of a product of two numbers is equal to the sum of the logarithms of the individual numbers, which can be algebraically represented as log(xy) = log(x) + log(y). When you apply this property to the given equation, you see that log(7) + log(2) indeed simplifies to log(7*2), which is log(14).

User Bbesase
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