Logarithms

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

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

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

State the property (s) used to simplify the expression

log₄20 - 3log₄x = log₄(20/x³)

• Power Property

• Quotient Property

• Quotient and Power Property

• Product and Power Property