Simplify using the Quotient Rule: $$\log_8(64) - \log_8(8)$$ .

$$\log_8\left(\frac{64}{8}\right)$$ .

Expand the logarithm: $$\ln\left(\frac{8x}{yz}\right)$$ .

$$\ln 8 + \ln x - \ln y - \ln z$$ .

Expand the logarithm: $$\ln\left(\frac{2x^2y}{z^4}\right)$$ .

$$\ln 2 + 2\ln x + \ln y - 4\ln z$$ .

What is the Common Logarithm?

The common logarithm is the logarithm to the base 10, denoted as $$\log(x)$$ .

What is the Change of Base Formula?

The Change of Base Formula states that $$\log_b(a) = \frac{\log_k(a)}{\log_k(b)}$$ for any base $$k$$ .

What is the Power Rule of Logarithms?

The Power Rule states that $$\log_b(x^n) = n \cdot \log_b(x)$$ .

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation. If $$b^y = x$$ , then $$\log_b(x) = y$$ .

What is the base of a logarithm?

The base of a logarithm is the number that is raised to a power to obtain a given number. In $$\log_b(x)$$ , $$b$$ is the base.

Logarithm Rules - Practice Flashcards

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1.

FLASHCARD QUESTION

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What is the Quotient Rule of Logarithms?

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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What is the Product Rule of Logarithms?

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

Front

What is the definition of a logarithm?

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