Converting logs and exponentials

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CCSS.HSF.BF.B.5

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

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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

Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25
• -2^0.25  = 2
• 2^-2  = 0.25
• No correct answer

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CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃ 4 = 81

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₄ 81 = 3

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CCSS.HSF.BF.B.5

Change to Exponential Form:

log₆ 36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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CCSS.HSF.BF.B.5

Tags

CCSS.HSF.BF.B.5

Rewrite log_v n = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Tags

CCSS.HSF.BF.B.5

rewrite into logarithmic form 10⁴ = 10,000

• log 4 = 10,000

• log₄ 10,000 = 10

• log_10,000 4 = 10

• log 10,000 = 4

Tags

CCSS.HSF.BF.B.5

rewrite into logarithmic form 10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10

Tags

CCSS.HSF.BF.B.5