Logarithms Test Pre-AP

Write in exponential form:

log ₂ 32 = 5

• 5² = 32

• 2⁵ = 32

• 5³² = 2

• 2³² = 5

Write in exponential form:

log ₃ 6561 = 8

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 3⁸ = 6561

• 8⁶⁵⁶¹ = 3

Write in logarithmic form:

9² = 81

• log ₉ 81 = 2

• log ₂ 81 = 9

• log ₉ 2 = 81

• log ₂ 9 = 81

Write in logarithmic form:

(1/12)^x = 1/144

• log _1/12 x = 1/144

• log _1/12 1/144 = x

• log _1/144 x = 1/12

• log _x 1/12 = 1/144

log 100 = 2

• 100 ² = 10

• 2 ¹⁰ = 100

• 100 ¹⁰ = 2

• 10 ² = 100

Evaluate: log ₉ 81

• 1/2

• 2

• 1.91

• 0.95

Evaluate: log ₈ 1

• 0.90

• ERROR

• 0

• 1.26

Evaluate: log ₄ 64

• 3

• 1/3

• 1.81

• 0.60

Logarithms are the inverse of __________.

• Trees

• Quadratics

• Square

• Exponential

Write as one logarithm: log ₃ 9 + log ₃ 27

• 243

• 3

• 36

• 18