Converting Between Logs and Exponentials

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Tags

CCSS.HSF.BF.B.5

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Tags

CCSS.HSF.BF.B.5

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561
• 8³ = 6561
• 3⁶⁵⁶¹ = 8
• 8⁶⁵⁶¹ = 3

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2
• log ₂ 81 = 9
• log ₉ 2 = 81
• log ₂ 9 = 81

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5
• log ₅ 1024 = 4
• log ₄ 5 = 1024
• log ₅ 4 = 1024

Tags

CCSS.HSF.BF.B.5

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

Tags

CCSS.HSF.BF.B.5

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

Tags

CCSS.HSF.BF.B.5