Math 1215 Exponential & Log Exam

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Back

x = -\frac{1}{4}

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Condense: log16 + log2 - log8

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log4

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Let w(x)=8^x, find w(-2).

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w(-2) = \frac{1}{64}

Tags

CCSS.HSF-IF.C.8B

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If f(x)=log_3x, evaluate f^{-1}(4).

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f^{-1}(4) = 81

Tags

CCSS.HSF-BF.B.4A

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Rory invested $2,000 in savings bonds. If the bonds earn 3.75% interest compounded monthly, how much total will Riley earn in 25 years?

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$5,099.72

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What is the definition of an exponential function?

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An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the variable.

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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 value. For example, in log_b(a), b is the base.

Tags

CCSS.HSF.BF.B.5

Front

What is the change of base formula for logarithms?

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The change of base formula states that log_b(a) = \frac{log_k(a)}{log_k(b)} for any positive k.

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What does it mean for a function to be one-to-one?

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A function is one-to-one if it never takes the same value twice; that is, f(a) = f(b) implies a = b.

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What is the inverse of an exponential function?

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The inverse of an exponential function is a logarithmic function.

Tags

CCSS.HSF-BF.B.4A