Expand $$\log_3(27)$$

$$\log_3(3^3) = 3\log_3(3) = 3$$ .

What is the change of base formula for logarithms?

$$\log_b a = \frac{\log_k a}{\log_k b}$$ for any base $$k$$ .

Expand $$\log_4(16)$$

$$\log_4(4^2) = 2\log_4(4) = 2$$ .

What is the base of a logarithm?

The base $$b$$ in $$\log_b a$$ is the number that is raised to a power to obtain $$a$$ .

Expand $$\log_5(25)$$

$$\log_5(5^2) = 2\log_5(5) = 2$$ .

What is the quotient rule for logarithms?

$$\log_b\frac{m}{n} = \log_b m - \log_b n$$ .

$$\log_2(2^3) = 3\log_2(2) = 3$$ .

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation.

Condensing and Expanding Logs Flashcards

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1.

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2.

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What is the power rule for logarithms?

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3.

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4.

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5.

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6.

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What is the product rule for logarithms?

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7.

FLASHCARD QUESTION

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What is the definition of a logarithm?

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