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 exponential form:
log ₉ 59049 = 5

• 9⁵ = 59049
• 5⁹ = 59049
• 59049⁵ = 9
• 59049⁹ = 5

Tags

CCSS.HSF.BF.B.5

Write in exponential form:
log ₅ 5 = 1

• 5¹ = 5
• 1⁵ = 5
• 5⁵ = 1
• 5¹ = 25

Tags

CCSS.HSF.BF.B.5

Write in exponential form:
log 100 = 2

• 10² = 100
• 2¹⁰ = 100
• 100² = 10
• 100¹⁰ = 2

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:
8³ = 512

• log ₈ 512 = 3
• log ₃ 512 = 8
• log ₃ 5 = 512
• log ₈ 5 = 512

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
10²³ = 0.001

• log ₁₀ 0.001 = 23
• log ₂₃ 0.001 = 10
• log ₁₀ 23 = 0.001
• log ₂₃ 10 = 0.001

Tags

CCSS.HSF.BF.B.5