Logarithm Practice

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Evaluate.
3 log₈2

• ¹/₃
• 3
• 1
• 9

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

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

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

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Evaluate the following logarithm:

log₆36

• 3

• 2

• 1

• 0