Log/Exp Forms and Evaluating Logs

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Rewrite as a log: 5^4=625

Back

log_5(625)=4

Tags

CCSS.HSF.BF.B.5

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Logarithmic functions are the inverse of...

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Exponential Functions

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CCSS.HSF.BF.B.5

Front

Rewrite log_v(n) = a in exponential form.

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v^a = n

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CCSS.HSF.BF.B.5

Front

Change to Logarithmic Form: 12^2 = 144

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log_12(144) = 2

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CCSS.HSF.BF.B.5

Front

Evaluate the following logarithm by converting to exponential form: log_3(⅓) = ?

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-1

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CCSS.HSF.BF.B.5

Front

What is the definition of a logarithm?

Back

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

Tags

CCSS.HSF.BF.B.5

Front

If log_b(a) = c, what is the equivalent exponential form?

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b^c = a

Tags

CCSS.HSF.BF.B.5

Front

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.

Front

Convert the logarithmic expression log_10(100) to exponential form.

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10^2 = 100

Tags

CCSS.HSF.BF.B.5

Front

What is the change of base formula for logarithms?

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log_b(a) = log_k(a) / log_k(b) for any base k.