7.3 Properties of Logarithms

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

• 8
• 3
• -3
• 1

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

• 1
• 0
• 5
• -1

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

• 0
• log₆5
• log₆1
• 1

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.
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