Expand $$\text{log}igg(\frac{x}{y}igg)$$ .

$$\text{log}(x) - \text{log}(y)$$

What is the relationship between exponents and logarithms?

If $$b^{y} = x$$ , then $$\text{log}_{b}(x) = y$$ .

What is the product rule for logarithms?

$$\text{log}(xy) = \text{log}(x) + \text{log}(y)$$ .

What is the quotient rule for logarithms?

$$\text{log}igg(\frac{x}{y}igg) = \text{log}(x) - \text{log}(y)$$ .

What is the power rule for logarithms?

$$\text{log}(x^{n}) = n \times \text{log}(x)$$ .

What is the value of $$e^{0}$$ ?

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

What is the natural logarithm?

The natural logarithm, denoted as $$\text{ln}(x)$$ , is the logarithm to the base e, where e is approximately 2.718.

Logs and Exponents Flashcards

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FLASHCARD QUESTION

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2.

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6.

FLASHCARD QUESTION

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What is the definition of a logarithm?

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A logarithm is the exponent to which a base must be raised to produce a given number.

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CCSS.HSF.BF.B.5

7.

FLASHCARD QUESTION

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What is the change of base formula for logarithms?

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