Intro to Logs/ Properties of Log

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

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CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

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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

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

Solve for x.
log₅25 = x

• 2
• 5
• 125
• 0.2

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CCSS.HSF.BF.B.5

Solve for x.
log₅ 1 = x

• 0
• -1
• 2
• 1

Tags

CCSS.HSF.BF.B.5

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:
log(10,000)=4.

• e⁴=10,000
• 4^10,000=10
• 10⁴=10,000
• 0⁴=10

Tags

CCSS.HSF.BF.B.5

What coordinates do exponential and logarithmic graphs always pass through?

• Exponential (0,0) and Logs (0,0)

• Exponential (1,0) and Logs (1,0)

• Exponential (0,1) and Logs (1,0)

• Exponential (1,0) and Logs (0,1)