Chapter 7 Review - Logarithms

Rewrite the logarithm as an exponent:

• 9³ = 729

• 3⁹ = 729

• 9⁷²⁹ = 3

• None of these

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

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CCSS.HSF.BF.B.5

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

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CCSS.HSF.BF.B.5

Solve for x:

• x = 3

• x = -3

• x = 1/3

• x = -1/3

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CCSS.HSF.BF.B.5

Solve for x

• x = 8

• x = 4

• x = 256

• x = 32

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Solve:
 $\log_x2187=7$  

• 3

• 312.43

• 2

• 3.95

log₄1 = 

• 0
• 1
• 4
• DNE

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CCSS.HSF.BF.B.5

Evaluate: log₁₆(4)

• 2

• 4

• 1/2

• 1/4

Evaluate: log₂(1/8)

• -3

• 1/3

• 3

• 0