Exponential and Logarithmic Functions

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
log₇49 = 2

• 7² = 49
• 7⁴⁹ = 2
• 2⁴⁹ = 7
• 49² = 7

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form:

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Evaluate each expression.

• A
• B
• C

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 100 = 2

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

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

Tags

CCSS.HSF.BF.B.5