Basic Logarithmic Evaluation

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 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:
4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

Match the following to the set up of the logarithm

a

b

c

Base

Total

Exponent

Evaluate: log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Evaluate: log ₂ 16 = x

• 3

• 2

• 4

• 5

Evaluate: log₉3

• ½

• -½

• 2

• -2

Evaluate log₅25

• 2

• 5

• 125

Evaluate the following logarithm:

log₄0.5

• -¹/₂

• -2

• 2

• ¹/₂