Logarithmic and Exponential Form Conversion

Evaluate by thinking 4 to what power is 16, so

log₄16

• 2

• 4

• 1/2

• -2

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CCSS.HSF.BF.B.5

Any base raised to zero is always...

ie. 8⁰ = ?

• One,

  1

• Zero,

  0

• the base,

  8

• undefined

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

• True, and it's 2

• False

Tags

CCSS.HSF.BF.B.5

Evaluate the log by thinking " 3 to what power is 1/9" so

log₃(1/9) =

• 1/2

• 2

• -2

• 3

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

We say two to what power is thirty-two?

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

3⁴ = 81 in logarithmic form is log₃ 81 = 4

3 in both forms is the

• base

• exponent

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CCSS.HSF.BF.B.5

3⁴ = 81 in logarithmic form is log₃ 81 = 4

4 in both forms is the

• base

• exponent

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

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CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Tags

CCSS.HSF.BF.B.5