Unit 3 - Logarithm Practice Test

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 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.
log₂(¹/₈) = -3

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

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

log₄1 = 

• 0

• 1

• 4

• DNE

Solve for x:

• 1

• 2

• 4

log₁₆(4) = y

• y = 2
• y = 4
• y = (1/2)
• y = (1/4)

log₂(1/8) = y

• y = -3
• y = (1/3)
• y = 3
• y = 0

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

• 0
• log₆5
• log₆1
• 1

Evaluate.
3 log₈2

• ¹/₃
• 3
• 1
• 9