State the change of base formula for logarithms.

$$\log_{b}(a) = \frac{\log_{k}(a)}{\log_{k}(b)}$$ for any base $$k$$ .

What is the value of $$\log_{b}(b)$$ ?

1, because any number raised to the power of 1 is itself.

What is the value of $$\log_{b}(1)$$ ?

0, because any number raised to the power of 0 is 1.

What is the product rule for logarithms?

$$\log_{b}(xy) = \log_{b}(x) + \log_{b}(y)$$ .

What is the quotient rule for logarithms?

$$\log_{b}(\frac{x}{y}) = \log_{b}(x) - \log_{b}(y)$$ .

What is the power rule for logarithms?

$$\log_{b}(x^{n}) = n \cdot \log_{b}(x)$$ .

What is the relationship between logarithms and exponents?

If $$y = \log_{b}(x)$$ , then $$b^{y} = x$$ .

Logs Flashcard Practice Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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0

4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

Front

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1

6.

FLASHCARD QUESTION

Front

Define a logarithm.

Back

A logarithm is the inverse operation to exponentiation, indicating the power to which a base must be raised to obtain a given number.

7.

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to produce a given number.

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