Converting Exponential and Logs

Front

What is the definition of a logarithm?

Back

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CCSS.HSF.BF.B.5

Front

Convert the logarithmic equation log₂(8) = 3 to exponential form.

Back

2³ = 8.

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CCSS.HSF.BF.B.5

Front

What is the base of a logarithm?

Back

Front

If log₁₀(100) = 2, what does this mean in exponential form?

Back

10² = 100.

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CCSS.HSF.BF.B.5

Front

Convert the exponential equation 5² = 25 to logarithmic form.

Back

log₅(25) = 2.

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CCSS.HSF.BF.B.5

Front

What is the change of base formula for logarithms?

Back

Front

What is the relationship between exponential and logarithmic functions?

Back

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CCSS.HSF.BF.B.5

Front

Convert log₃(t) = 5 to exponential form.

Back

3⁵ = t.

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CCSS.HSF.BF.B.5

Front

What does log_n(m) = -2 imply about n and m?

Back

It implies that n^-2 = m.

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CCSS.HSF.BF.B.5

Front

If log₂(x) = 4, what is the value of x?

Back

x = 2⁴ = 16.

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