Log Functions 2.9 - 2.12 Review

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Logarithmic functions have a restricted _____________.

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domain

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@@\log_4\left(\frac{u^4}{v^6}\right)$$

Front

Match the graph with its equation: y = log₅ (x + 1) + 1

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This equation represents a logarithmic function that is shifted left by 1 and up by 1.

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@@3\log m - \log n$$

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Logarithmic functions are the inverse of...

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Exponential Functions

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What is the base of a logarithm?

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

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@@b^y = x$$

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What is the change of base formula for logarithms?

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

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What is the product property of logarithms?

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@@\log_b(mn) = \log_b(m) + \log_b(n)$$

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What is the quotient property of logarithms?

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@@\log_b\left(\frac{m}{n}\right) = \log_b(m) - \log_b(n)$$