Evaluating and Converting Logarithms

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 8⁶⁵⁶¹ = 3

Write in logarithmic form:
2^-1 = 0.5

• log ₂ 0.5 = -1

• log _-1 0.5 = 2

• log ₂ -1 = 0.5

• log _-1 2 = 0.5

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

Evaluate log₄1

• 1

• 0

• 4

• undefined

Evaluate log₅25

• 2

• 5

• 125

Evaluate.
log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

Solve for x:
log₄ x = 3

• 4

• 12

• 32

• 64

Evaluate
log₆ (1/6)

• - 1/6

• 1/6

• -1

• 1