What is the product property of logarithms?

The product property states that $$\text{log}_b(mn) = \text{log}_b(m) + \text{log}_b(n)$$ .

What is the quotient property of logarithms?

The quotient property states that $$\text{log}_b\left(\frac{m}{n}\right) = \text{log}_b(m) - \text{log}_b(n)$$ .

What is the power property of logarithms?

The power property states that $$\text{log}_b(m^p) = p \cdot \text{log}_b(m)$$ .

What is the definition of a common logarithm?

A common logarithm is a logarithm with base 10, denoted as $$\text{log}(x)$$ .

What is the definition of a natural logarithm?

A natural logarithm is a logarithm with base e (approximately 2.718), denoted as $$\text{ln}(x)$$ .

Properties of Logs & Log Equations Flashcards

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1.

FLASHCARD QUESTION

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What is the definition of a logarithm?

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CCSS.HSF.BF.B.5

2.

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What is the relationship between logarithmic and exponential functions?

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3.

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x = 3.

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4.

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x = 5.

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5.

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x = -\frac{1}{20}.

6.

FLASHCARD QUESTION

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What is the change of base formula for logarithms?

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7.

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CCSS.HSF.BF.B.5

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