Converting Between Exponentials and Logarithms

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:
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

log₃81 = 

• 2
• 3
• 4
• 5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₉1

• 8
• 0
• 1
• 9

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₅125

• 3
• 5
• 25
• 4

Tags

CCSS.HSF.BF.B.5

log₅5⁴

• 5
• 625
• 4
• 25

Tags

CCSS.HSF.BF.B.5

log₆6

• -1
• 0
• 2
• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₂32

• 5
• 4
• 16
• 6

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4